Valid HTML 4.0! Valid CSS!
%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Nelson H. F. Beebe",
%%%     version         = "0.13",
%%%     date            = "06 January 2024",
%%%     time            = "15:39:44 MST",
%%%     filename        = "gautschi-walter.bib",
%%%     address         = "University of Utah
%%%                        Department of Mathematics, 110 LCB
%%%                        155 S 1400 E RM 233
%%%                        Salt Lake City, UT 84112-0090
%%%                        USA",
%%%     telephone       = "+1 801 581 5254",
%%%     FAX             = "+1 801 581 4148",
%%%     URL             = "https://www.math.utah.edu/~beebe",
%%%     checksum        = "23801 8189 33281 369761",
%%%     email           = "beebe at math.utah.edu, beebe at acm.org,
%%%                        beebe at computer.org (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "Bessel functions; beta function;
%%%                        bibliography; BibTeX; complex error function;
%%%                        confluent hypergeometric functions; Coulomb
%%%                        wave function; gamma function;
%%%                        Gauss--Chebyshev quadrature;
%%%                        Gauss--Christoffel quadrature; Gauss--Hermite
%%%                        quadrature; Gauss--Kronrod quadrature;
%%%                        Gauss--Laguerre quadrature; Gauss--Lobatto
%%%                        quadrature; Gauss--Radau quadrature;
%%%                        Gauss--Tur{\'a}n quadrature; Gaussian
%%%                        quadrature; hypergeometric functions;
%%%                        numerical integration; orthogonal
%%%                        polynomials; quadrature; Runge--Kutta
%%%                        numerical integration; special functions;
%%%                        Walter Gautschi",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a bibliography of publications by,
%%%                        and about, the distinguished Swiss--American
%%%                        numerical analyst, Walter Gautschi.  His
%%%                        Web home page is at
%%%
%%%                            https://www.cs.purdue.edu/homes/wxg/
%%%
%%%                        There are online encyclopedia articles and
%%%                        genealogies about him at
%%%
%%%                            https://en.wikipedia.org/wiki/Walter_Gautschi
%%%                            https://www.genealogy.math.ndsu.nodak.edu/id.php?id=16467
%%%
%%%                        At version 0.13, the year coverage looked
%%%                        like this:
%%%
%%%                             1953 (   4)    1977 (   5)    2001 (   6)
%%%                             1954 (   2)    1978 (   3)    2002 (   3)
%%%                             1955 (   1)    1979 (   4)    2003 (   3)
%%%                             1956 (   2)    1980 (   0)    2004 (   2)
%%%                             1957 (   0)    1981 (   6)    2005 (   7)
%%%                             1958 (   0)    1982 (   3)    2006 (   5)
%%%                             1959 (   3)    1983 (   6)    2007 (   4)
%%%                             1960 (   0)    1984 (   5)    2008 (   8)
%%%                             1961 (   3)    1985 (   4)    2009 (   7)
%%%                             1962 (   4)    1986 (   5)    2010 (   2)
%%%                             1963 (   2)    1987 (   4)    2011 (   6)
%%%                             1964 (   8)    1988 (   3)    2012 (   3)
%%%                             1965 (   2)    1989 (   3)    2013 (   4)
%%%                             1966 (   3)    1990 (   6)    2014 (   4)
%%%                             1967 (   2)    1991 (   5)    2015 (   2)
%%%                             1968 (   3)    1992 (   1)    2016 (   4)
%%%                             1969 (   5)    1993 (   3)    2017 (   3)
%%%                             1970 (   6)    1994 (   9)    2018 (   7)
%%%                             1971 (   2)    1995 (   3)    2019 (   3)
%%%                             1972 (   4)    1996 (   5)    2020 (   0)
%%%                             1973 (   3)    1997 (   5)    2021 (   2)
%%%                             1974 (   4)    1998 (   3)    2022 (   2)
%%%                             1975 (   8)    1999 (   6)
%%%                             1976 (   1)    2000 (   4)
%%%
%%%                             Article:        209
%%%                             Book:            17
%%%                             InCollection:    13
%%%                             InProceedings:   11
%%%                             Misc:             1
%%%                             PhdThesis:        1
%%%                             Proceedings:      7
%%%                             TechReport:       1
%%%                             Unpublished:      1
%%%
%%%                             Total entries:  261
%%%
%%%                        Data for this bibliography have been
%%%                        collected primarily from the TeX User Group
%%%                        and BibNet Project bibliography archives, and
%%%                        from the MathSciNet database.  The DBLP
%%%                        bibliography archive at Universitaet Trier in
%%%                        Germany found 59 entries, all of which were
%%%                        already present here, but the DBLP data
%%%                        supplied previously-missing DOI values for
%%%                        several entries.
%%%
%%%                        English title translations are provided for
%%%                        all entries in another language.
%%%
%%%                        Work still needs to be done to match the
%%%                        coverage here with Walter Gautschi's own
%%%                        publication list, and the publication data in
%%%                        entries Gautschi:2007:GTT,
%%%                        Brezinski:2013:WGV, Brezinski:2014:WGVa, and
%%%                        Brezinski:2014:WGVb.
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================
@Preamble{
    "\ifx \undefined \booktitle      \def \booktitle#1{{{\em #1}}} \fi" #
    "\ifx \undefined \cdprime        \def \cdprime {$''$} \fi" #
    "\ifx \undefined \cyr            \let \cyr = \rm \fi" #
    "\ifx \undefined \mathbb         \def \mathbb #1{{\bf #1}}\fi" #
    "\ifx \undefined \mathbf         \def \mathbf #1{{\bf #1}}\fi" #
    "\ifx \undefined \mathcal        \def \mathcal #1{{\cal #1}}\fi" #
    "\ifx \undefined \mathit         \def \mathit #1{\hbox{\it #1\/}} \fi" #
    "\ifx \undefined \mathrm         \def \mathrm #1{{\rm #1}}\fi"
}

%%% ====================================================================
%%% Institution abbreviations:
@String{inst-BERKELEY-CS        = "Department of Computer Science, University
                                  of California"}
@String{inst-BERKELEY-CS:adr    = "Berkeley, CA, USA"}

%%% ====================================================================
%%% Journal abbreviations:
@String{j-ACTA-NUMERICA         = "Acta Numerica"}

@String{j-AEQUATIONES-MATHEMATICAE = "Aequationes Mathematicae"}

@String{j-AMER-MATH-MONTHLY     = "American Mathematical Monthly"}

@String{j-ANN-MATH-STAT         = "Annals of Mathematical Statistics"}

@String{j-APPL-COMPUT-HARMON-ANAL = "Applied and Computational Harmonic
                                  Analysis. Time-Frequency and Time-Scale
                                  Analysis, Wavelets, Numerical Algorithms,
                                  and Applications"}

@String{j-APPL-MATH-COMP        = "Applied Mathematics and Computation"}

@String{j-APPL-MATH-LETT        = "Applied Mathematics Letters"}

@String{j-APPL-NUM-MATH         = "Applied Numerical Mathematics: Transactions
                                  of IMACS"}

@String{j-BIT                   = "BIT (Nordisk tidskrift for
                                  informationsbehandling)"}

@String{j-BIT-NUM-MATH          = "BIT Numerical Mathematics"}

@String{j-C-R-ACAD-SCI-PARIS-SER-AB = "Comptes Rendus Hebdomadaires des
                                  S{\'e}ances de l'Acad{\'e}mie des Sciences.
                                  S{\'e}ries A et B"}

@String{j-CACM                  = "Communications of the ACM"}

@String{j-CALCOLO               = "Calcolo: a quarterly on numerical analysis
                                  and theory of computation"}

@String{j-COMMENT-MATH-HELV     = "Commentarii Mathematici Helvetici (Zurich)"}

@String{j-COMP-PHYS-COMM        = "Computer Physics Communications"}

@String{j-COMPOS-MATH           = "Compositio Mathematica"}

@String{j-COMPUT-MATH-APPL      = "Computers and Mathematics with
                                  Applications"}
@String{j-COMPUTING             = "Computing: Archiv f{\"u}r Informatik und
                                  Numerik"}

@String{j-CONST-APPROX          = "Constructive Approximation"}

@String{j-DUKE-MATH-J           = "Duke Mathematical Journal"}

@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical
                                  Analysis"}

@String{j-ELEM-MATH             = "{Elemente der Mathematik}"}

@String{j-J-ACM                 = "Journal of the ACM"}

@String{j-J-APPROX-THEORY       = "Journal of Approximation Theory"}

@String{j-J-CELL-BIOL           = "Journal of Cell Biology"}

@String{j-J-COMPUT-APPL-MATH    = "Journal of Computational and Applied
                                  Mathematics"}

@String{j-J-COMPUT-PHYS         = "Journal of Computational Physics"}

@String{j-J-INEQUAL-APPL        = "Journal of Inequalities and Applications"}

@String{j-J-MATH-PHYS-MIT       = "Journal of Mathematics and Physics (MIT)"}

@String{j-J-RES-NATL-BUR-STAND-1934 = "Journal of Research of the National
                                  Bureau of Standards (1934)"}

@String{j-LECT-NOTES-MATH       = "Lecture Notes in Mathematics"}

@String{j-LINEAR-ALGEBRA-APPL   = "Linear Algebra and its Applications"}

@String{j-MATH-COMP-SIM         = "Mathematics and Computers in Simulation"}

@String{j-MATH-COMPUT           = "Mathematics of Computation"}

@String{j-MATH-INTEL            = "The Mathematical Intelligencer"}

@String{j-MATH-TABLES-OTHER-AIDS-COMPUT = "Mathematical Tables and Other Aids
                                  to Computation"}

@String{j-NUM-MATH              = "Numerische Mathematik"}

@String{j-NUMER-ALGORITHMS      = "Numerical Algorithms"}

@String{j-ROCKY-MOUNTAIN-J-MATH = "Rocky Mountain Journal of Mathematics"}

@String{j-SIAM-J-MATH-ANA       = "SIAM Journal on Mathematical Analysis"}

@String{j-SIAM-J-NUMER-ANAL     = "SIAM Journal on Numerical Analysis"}

@String{j-SIAM-J-SCI-STAT-COMP  = "SIAM Journal on Scientific and Statistical
                                  Computing"}

@String{j-SIAM-NEWS             = "SIAM News"}

@String{j-SIAM-REVIEW           = "SIAM Review"}

@String{j-SOC-STUD-SCI          = "Social Studies of Science"}

@String{j-TOMS                  = "ACM Transactions on Mathematical Software"}

@String{j-Z-ANGE-MATH-PHYS      = "{Zeitschrift f{\"u}r Angewandte Mathematik
                                  und Physik = Journal of Applied Mathematics
                                  and Physics}"}

%%% ====================================================================
%%% Publisher abbreviations:
@String{pub-ACADEMIC            = "Academic Press"}
@String{pub-ACADEMIC:adr        = "New York, NY, USA"}

@String{pub-AMS                 = "American Mathematical Society"}
@String{pub-AMS:adr             = "Providence, RI, USA"}

@String{pub-BIRKHAUSER          = "Birkh{\"a}user"}
@String{pub-BIRKHAUSER:adr      = "Cambridge, MA, USA; Berlin, Germany; Basel,
                                  Switzerland"}

@String{pub-BIRKHAUSER-BOSTON   = "Birkh{\"a}user Boston Inc."}
@String{pub-BIRKHAUSER-BOSTON:adr = "Cambridge, MA, USA"}

@String{pub-MACMILLAN           = "MacMillan Publishing Company"}
@String{pub-MACMILLAN:adr       = "New York, NY, USA and London, UK"}

@String{pub-MARCEL-DEKKER       = "Marcel Dekker"}
@String{pub-MARCEL-DEKKER:adr   = "New York, NY, USA"}

@String{pub-MATH-ASSOC-AMER     = "Mathematical Association of America"}
@String{pub-MATH-ASSOC-AMER:adr = "Washington, DC, USA"}

@String{pub-NTIS                = "National Technical Information Service"}
@String{pub-NTIS:adr            = "Washington, DC, USA"}

@String{pub-OXFORD              = "Oxford University Press"}
@String{pub-OXFORD:adr          = "Oxford, UK"}

@String{pub-SIAM                = "Society for Industrial and Applied
                                  Mathematics"}
@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

@String{pub-SV                  = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg,
                                  Germany~/ London, UK~/ etc."}

@String{pub-WORLD-SCI           = "World Scientific Publishing
                                  Co. Pte. Ltd."}
@String{pub-WORLD-SCI:adr       = "P. O. Box 128, Farrer Road,
                                  Singapore 9128"}

%%% ====================================================================
%%%             Part 1: Publications of Walter Gautschi
%%%
%%% Bibliography entries, sorted in approximate publication order with
%%% ``bibsort --byyear'':
@Article{Gautschi:1953:ABPa,
  author =       "Walter Gautschi",
  title =        "The Asymptotic Behaviour of Powers of Matrices",
  journal =      j-DUKE-MATH-J,
  volume =       "20",
  pages =        "127--140",
  year =         "1953",
  CODEN =        "DUMJAO",
  ISSN =         "0012-7094 (print), 1547-7398 (electronic)",
  ISSN-L =       "0012-7094",
  bibdate =      "Thu Jan 19 07:49:45 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Duke Mathematical Journal",
  journal-URL =  "http://projecteuclid.org/info/euclid.dmj",
}

@Article{Gautschi:1953:ABPb,
  author =       "Walter Gautschi",
  title =        "The Asymptotic Behaviour of Powers of Matrices. {II}",
  journal =      j-DUKE-MATH-J,
  volume =       "20",
  pages =        "375--379",
  year =         "1953",
  CODEN =        "DUMJAO",
  ISSN =         "0012-7094 (print), 1547-7398 (electronic)",
  ISSN-L =       "0012-7094",
  bibdate =      "Thu Jan 19 07:50:37 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Duke Mathematical Journal",
  journal-URL =  "http://projecteuclid.org/info/euclid.dmj",
}

@PhdThesis{Gautschi:1953:AGI,
  author =       "Walter Gautschi",
  title =        "{Analyse graphischer Integrationsmethoden}. ({German})
                 [{Analysis} of graphical integration methods]",
  type =         "{Dr. phil.}",
  school =       "Universit{\"a}t Basel",
  address =      "Basel, Switched",
  year =         "1953",
  bibdate =      "Thu Jan 09 14:46:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
  advisor =      "Alexander Ostrowski and Andreas Speiser",
  language =     "German",
}

@Article{Gautschi:1953:FGI,
  author =       "Walter Gautschi",
  title =        "{Fehlerabsch{\"a}tzungen f{\"u}r die graphischen
                 Integrationsverfahren von Grammel und Meissner-Ludwig}.
                 ({German}) [{Error} estimates for the graphical
                 integration procedures of {Grammel} and
                 {Meissner-Ludwig}]",
  journal =      "{Verhandlungen der Naturforschenden Gesellschaft in
                 Basel}",
  volume =       "64",
  pages =        "401--435",
  year =         "1953",
  MRclass =      "65.0X",
  MRnumber =     "0060902",
  MRreviewer =   "H. B{\"u}ckner",
  bibdate =      "Thu Jan 09 14:46:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Verh. Naturf. Ges. Basel",
  ajournal-2 =   "Verh. Naturforsch. Ges. Basel",
  language =     "German",
}

@Article{Gautschi:1954:KLS,
  author =       "Walter Gautschi",
  title =        "{{\"U}ber eine Klasse von linearen Systemen mit
                 konstanten Koeffizienten}. ({German}) [{On} a class of
                 linear systems with constant coefficients]",
  journal =      j-COMMENT-MATH-HELV,
  volume =       "28",
  pages =        "186--196",
  year =         "1954",
  CODEN =        "COMHAX",
  DOI =          "https://doi.org/10.1007/BF02566930",
  ISSN =         "0010-2571 (print), 1420-8946 (electronic)",
  ISSN-L =       "0010-2571",
  MRclass =      "36.0X",
  MRnumber =     "64938",
  MRreviewer =   "C. R. De Prima",
  bibdate =      "Thu Jan 09 14:46:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Commentarii Mathematici Helvetici",
  journal-URL =  "https://link.springer.com/journal/14",
  language =     "German",
}

@Article{Gautschi:1954:ZUZ,
  author =       "Walter Gautschi",
  title =        "{{\"U}ber die zeichnerischen Ungenauigkeiten und die
                 zweckm{\"a}ssige Bemessung der Schrittl{\"a}nge beim
                 graphischen Integrationsverfahren von Meissner-Ludwig}.
                 ({German}) [{On} the graphical inaccuracies and the
                 appropriate dimensioning of the step length in the
                 graphical integration method by {Meissner-Ludwig}]",
  journal =      "{Verhandlungen der Naturforschenden Gesellschaft in
                 Basel}",
  volume =       "65",
  pages =        "49--66",
  year =         "1954",
  CODEN =        "VNGBAH",
  ISSN =         "0077-6122",
  ISSN-L =       "0077-6122",
  MRclass =      "65.0X",
  MRnumber =     "0068323",
  MRreviewer =   "F. J. Murray",
  bibdate =      "Thu Jan 09 14:46:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Verh. Naturf. Ges. Basel",
  ajournal-2 =   "Verh. Naturforsch. Ges. Basel",
  language =     "German",
}

@Article{Gautschi:1955:FRK,
  author =       "Walter Gautschi",
  title =        "{{\"U}ber den Fehler des Runge--Kutta-Verfahrens
                 f{\"u}r die numerische Integration gew{\"o}hnlicher
                 Differentialgleichungen $n$-ter Ordnung}. ({German})
                 [{On} the error of the {Runge--Kutta} method for the
                 numerical integration of ordinary differential
                 equations of $n$-th order]",
  journal =      j-Z-ANGE-MATH-PHYS,
  volume =       "6",
  pages =        "456--461",
  year =         "1955",
  CODEN =        "ZAMPDB",
  DOI =          "https://doi.org/10.1007/BF01600531",
  ISSN =         "0044-2275 (print), 1420-9039 (electronic)",
  ISSN-L =       "0044-2275",
  MRclass =      "65.0X",
  MRnumber =     "77236",
  MRreviewer =   "E. Isaacson",
  bibdate =      "Thu Jan 09 14:46:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Zeitschrift f{\"u}r Angewandte Mathematik und Physik.
                 ZAMP. Journal of Applied Mathematics and Physics.
                 Journal de Math{\'e}matiques et de Physique
                 Appliqu{\'e}es",
  journal-URL =  "http://link.springer.com/journal/33",
  language =     "German",
}

@Article{Gautschi:1956:BNB,
  author =       "Walter Gautschi",
  title =        "{Bemerkung zu einer notwendigen Bedingung von Picone
                 in der Variationsrechnung}. ({German}) [{Remark} on a
                 necessary condition of {Picone} in the variation
                 calculation]",
  journal =      j-COMMENT-MATH-HELV,
  volume =       "31",
  pages =        "1--4",
  year =         "1956",
  CODEN =        "COMHAX",
  DOI =          "https://doi.org/10.1007/BF02564351",
  ISSN =         "0010-2571 (print), 1420-8946 (electronic)",
  ISSN-L =       "0010-2571",
  MRclass =      "49.0X",
  MRnumber =     "82043",
  MRreviewer =   "L. M. Graves",
  bibdate =      "Thu Jan 09 14:46:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Commentarii Mathematici Helvetici",
  journal-URL =  "https://link.springer.com/journal/14",
  language =     "German",
}

@Article{Gautschi:1956:EAI,
  author =       "Walter Gautschi",
  title =        "Una estensione agli integrali doppi di una condizione
                 di {Picone}, necessaria per un estremo. ({Italian})
                 [{An} extension to double integrals of a condition of
                 {Picone}, necessary for one extreme]",
  journal =      "Atti della Accademia Nazionale dei Lincei. Rendiconti.
                 Classe di Scienze Fisiche, Matematiche e Naturali.
                 Serie VIII",
  volume =       "20",
  pages =        "283--289",
  year =         "1956",
  CODEN =        "????",
  ISSN =         "0392-7881",
  ISSN-L =       "0392-7881",
  MRclass =      "49.0X",
  MRnumber =     "82044",
  MRreviewer =   "L. M. Graves",
  bibdate =      "Thu Jan 09 14:46:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat.
                 (8)",
  fjournal =     "Atti della Accademia Nazionale dei Lincei. Rendiconti.
                 Classe di Scienze Fisiche, Matematiche e Naturali.
                 Serie VIII",
  language =     "Italian",
}

@Article{Gautschi:1959:EIL,
  author =       "W. Gautschi",
  title =        "Exponential integral $ \int_1^\infty e^{-x t} t^{-n}
                 \, d t $ for large values of $n$",
  journal =      j-J-RES-NATL-BUR-STAND-1934,
  volume =       "62",
  number =       "3",
  pages =        "123--125",
  month =        mar,
  year =         "1959",
  DOI =          "https://doi.org/10.6028/jres.062.022",
  ISSN =         "0091-0635",
  bibdate =      "Sat Feb 18 14:39:27 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Research of the National Bureau of
                 Standards (1934)",
  journal-URL =  "https://www.nist.gov/nist-research-library/journal-research-nist/past-papers",
}

@Article{Gautschi:1959:NBL,
  author =       "Walter Gautschi",
  title =        "Note on Bivariate Linear Interpolation for Analytic
                 Functions",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "13",
  number =       "66",
  pages =        "91--96",
  month =        apr,
  year =         "1959",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837 (print), 2326-4853 (electronic)",
  ISSN-L =       "0891-6837",
  MRclass =      "65.00",
  MRnumber =     "105786",
  MRreviewer =   "John Todd",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Tables and Other Aids to Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Gautschi:1959:SEI,
  author =       "Walter Gautschi",
  title =        "Some Elementary Inequalities Relating to the Gamma and
                 Incomplete Gamma Function",
  journal =      j-J-MATH-PHYS-MIT,
  volume =       "38",
  number =       "1--4",
  pages =        "77--81",
  month =        apr,
  year =         "1959",
  CODEN =        "JMPHA9",
  DOI =          "https://doi.org/10.1002/sapm195938177",
  ISSN =         "0097-1421",
  ISSN-L =       "0097-1421",
  MRclass =      "33.00",
  MRnumber =     "103289",
  MRreviewer =   "H. O. Pollak",
  bibdate =      "Sat Aug 19 13:36:04 MDT 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jmathphysmit.bib",
  URL =          "https://onlinelibrary.wiley.com/doi/epdf/10.1002/sapm195938177",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Math. Phys. (MIT)",
  fjournal =     "Journal of Mathematics and Physics (MIT)",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590",
  onlinedate =   "April 1959",
}

@Article{Gautschi:1961:NIO,
  author =       "Walter Gautschi",
  title =        "Numerical integration of ordinary differential
                 equations based on trigonometric polynomials",
  journal =      j-NUM-MATH,
  volume =       "3",
  number =       "1",
  pages =        "381--397",
  month =        dec,
  year =         "1961",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF01386037",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65.61",
  MRnumber =     "138200",
  MRreviewer =   "R. W. Hamming",
  bibdate =      "Tue Dec 21 16:41:06 MST 2010",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=381",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Gautschi:1961:RCC,
  author =       "Walter Gautschi",
  title =        "Recursive Computation of Certain Integrals",
  journal =      j-J-ACM,
  volume =       "8",
  number =       "1",
  pages =        "21--40",
  month =        jan,
  year =         "1961",
  CODEN =        "JACOAH",
  DOI =          "https://doi.org/10.1145/321052.321054",
  ISSN =         "0004-5411 (print), 1557-735x (electronic)",
  ISSN-L =       "0004-5411",
  MRclass =      "65.00",
  MRnumber =     "119392",
  MRreviewer =   "F. J. Corbato",
  bibdate =      "Tue Nov 08 23:16:00 1994",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jacm.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Association for Computing Machinery",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J401",
}

@Article{Gautschi:1961:RCR,
  author =       "Walter Gautschi",
  title =        "Recursive Computation of the Repeated Integrals of the
                 Error Function",
  journal =      j-MATH-COMPUT,
  volume =       "15",
  number =       "75",
  pages =        "227--232",
  month =        jul,
  year =         "1961",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2002897",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65.25",
  MRnumber =     "136074",
  MRreviewer =   "J. C. P. Miller",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@InCollection{Antosiewicz:1962:NMO,
  author =       "Henry A. Antosiewicz and Walter Gautschi",
  booktitle =    "Survey of numerical analysis",
  title =        "Numerical methods in ordinary differential equations",
  publisher =    "McGraw-Hill, New York",
  pages =        "314--346",
  year =         "1962",
  MRclass =      "65.60",
  MRnumber =     "0136075",
  MRreviewer =   "T. E. Hull",
  bibdate =      "Thu Jan 09 14:46:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
}

@Article{Gautschi:1962:DFS,
  author =       "Walter Gautschi",
  title =        "Diffusion Functions for Small Argument",
  journal =      j-SIAM-REVIEW,
  volume =       "4",
  number =       "3",
  pages =        "227--229",
  month =        "????",
  year =         "1962",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1004060",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65.20",
  MRnumber =     "144445",
  MRreviewer =   "W. Sangren",
  bibdate =      "Thu Mar 27 09:04:54 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/4/3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review. A Publication of the Society for
                 Industrial and Applied Mathematics",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "July 1962",
}

@InProceedings{Gautschi:1962:ILS,
  author =       "Walter Gautschi",
  booktitle =    "Proceedings of the International Conference on
                 Information Processing",
  title =        "Instability of Linear Second-Order Difference
                 Equations [abstract only]",
  publisher =    "????",
  address =      "????",
  pages =        "207--207",
  year =         "1962",
  bibdate =      "Fri Aug 21 11:06:52 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
}

@Article{Gautschi:1962:IVC,
  author =       "Walter Gautschi",
  title =        "On inverses of {Vandermonde} and confluent
                 {Vandermonde} matrices",
  journal =      j-NUM-MATH,
  volume =       "4",
  pages =        "117--123",
  year =         "1962",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF01386302",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "15.15",
  MRnumber =     "139627",
  MRreviewer =   "W. W. Hooker",
  bibdate =      "Thu Jan 09 14:46:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Gautschi:1963:IVC,
  author =       "Walter Gautschi",
  title =        "On inverses of {Vandermonde} and confluent
                 {Vandermonde} matrices. {II}",
  journal =      j-NUM-MATH,
  volume =       "5",
  pages =        "425--430",
  year =         "1963",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF01385906",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65.35",
  MRnumber =     "164437",
  MRreviewer =   "W. W. Hooker",
  bibdate =      "Thu Jan 09 14:46:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@InProceedings{Gautschi:1963:RCS,
  author =       "Walter Gautschi",
  editor =       "????",
  booktitle =    "{The University of Michigan Engineering Summer
                 Conferences, Numerical Analysis, Summer 1963}",
  title =        "Recursive computation of special functions",
  publisher =    "????",
  address =      "????",
  pages =        "??--??",
  year =         "1963",
  bibdate =      "Fri Aug 21 11:08:35 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Gautschi:1964:AAB,
  author =       "W. Gautschi",
  title =        "{ACM Algorithm 236}: {Bessel} Functions of the First
                 Kind [{S17}]",
  journal =      j-CACM,
  volume =       "7",
  number =       "8",
  pages =        "479--480",
  month =        aug,
  year =         "1964",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/355586.355587",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:19:55 MST 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See remark \cite{Skovgaard:1975:RBF}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "$J_n(x)$; Bessel functions of the first kind; special
                 functions",
}

@Article{Gautschi:1964:AAI,
  author =       "W. Gautschi",
  title =        "{ACM Algorithm 222}: Incomplete Beta Function Ratios",
  journal =      j-CACM,
  volume =       "7",
  number =       "3",
  pages =        "143--144",
  month =        mar,
  year =         "1964",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Thu Sep 08 09:32:19 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
  note =         "See remark \cite{Kolm:1971:MAL,Ellis:1974:RAHb}.",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
}

@Article{Gautschi:1964:AGF,
  author =       "Walter Gautschi",
  title =        "{Algorithm 221}: {Gamma} functions",
  journal =      j-CACM,
  volume =       "7",
  number =       "3",
  pages =        "143--143",
  month =        mar,
  year =         "1964",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/363958.363967",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:19:52 MST 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "$\Gamma(x)$; special functions",
}

@Article{Gautschi:1964:AIB,
  author =       "Walter Gautschi",
  title =        "{Algorithm 222}: {Incomplete} beta functions ratios",
  journal =      j-CACM,
  volume =       "7",
  number =       "3",
  pages =        "143--143",
  month =        mar,
  year =         "1964",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/363958.363968",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:19:52 MST 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  note =         "See remark \cite{Kolm:1971:MAL,Ellis:1974:RAHb}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "beta functions; special functions",
}

@Article{Gautschi:1964:CAI,
  author =       "Walter Gautschi",
  title =        "Certification of {Algorithm 222}: {Incomplete} beta
                 function ratios",
  journal =      j-CACM,
  volume =       "7",
  number =       "4",
  pages =        "244--244",
  month =        apr,
  year =         "1964",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/364005.364073",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:19:53 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "beta functions; special functions",
}

@InCollection{Gautschi:1964:EFF,
  author =       "Walter Gautschi",
  title =        "Error Function and {Fresnel} Integrals",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "295--330",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@InCollection{Gautschi:1964:EIR,
  author =       "Walter Gautschi and William F. Cahill",
  title =        "Exponential Integral and Related Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "227--252",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Gautschi:1965:ALF,
  author =       "W. Gautschi",
  title =        "{Algorithm 259}: {Legendre} Functions for Arguments
                 Larger than One [{S16}]",
  journal =      j-CACM,
  volume =       "8",
  number =       "8",
  pages =        "488--492",
  month =        aug,
  year =         "1965",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/365474.355591",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:20:01 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See also \cite{Jansen:1977:RLF}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "Legendre functions; special functions",
  xxtitle =      "{ACM Algorithm 259}: {Legendre} Functions for
                 Arguments Larger than One",
}

@Article{Gautschi:1965:CAS,
  author =       "Walter Gautschi",
  title =        "Certification of {Algorithm 236} [{S17}]: {Bessel}
                 functions of the first kind",
  journal =      j-CACM,
  volume =       "8",
  number =       "2",
  pages =        "105--106",
  month =        feb,
  year =         "1965",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/363744.363769",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:19:58 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "$J_n(x)$; Bessel functions of the first kind; special
                 functions",
}

@Article{Gautschi:1966:AD,
  author =       "Walter Gautschi",
  title =        "{Algorithm 282}: {Derivatives} of $ e^x / x $, $ \cos
                 (x) / x $, and $ \sin (x) / x $",
  journal =      j-CACM,
  volume =       "9",
  number =       "4",
  pages =        "272--272",
  month =        apr,
  year =         "1966",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/365278.365519",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:20:05 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  note =         "See remark \cite{Gautschi:1970:RAD}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "$\cos(x)/x$; $\sin(x)/x$; $e^x/x$; elementary
                 functions",
}

@Article{Gautschi:1966:ARC,
  author =       "Walter Gautschi",
  title =        "{Algorithm 292}: {Regular} {Coulomb} Wave Functions",
  journal =      j-CACM,
  volume =       "9",
  number =       "11",
  pages =        "793--795",
  month =        nov,
  year =         "1966",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/365876.365884",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:20:10 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "Coulomb wave functions; special functions",
}

@Article{Gautschi:1966:CSD,
  author =       "Walter Gautschi",
  title =        "Computation of Successive Derivatives of $ f(z) / z
                 $",
  journal =      j-MATH-COMPUT,
  volume =       "20",
  number =       "94",
  pages =        "209--214",
  month =        apr,
  year =         "1966",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Gautschi:1967:CAT,
  author =       "Walter Gautschi",
  title =        "Computational Aspects of Three-Term Recurrence
                 Relations",
  journal =      j-SIAM-REVIEW,
  volume =       "9",
  number =       "1",
  pages =        "24--82",
  month =        jan,
  year =         "1967",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1009002",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65.70",
  MRnumber =     "213062",
  MRreviewer =   "E. Frank",
  bibdate =      "Thu Mar 27 09:05:42 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/9/1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcw.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://link.aip.org/link/?SIR/9/24/1",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  keywords =     "Bessel functions; continued fractions; Coulomb wave
                 functions; Fourier coefficients; incomplete beta
                 functions; incomplete gamma functions; Legendre
                 functions; Sturm--Liouville boundary value problems;
                 three-term recurrence relations",
  mynote =       "Not copied. Has a good section on evaluating continued
                 fractions. Plenty on Bessel recurrences, etc. Worth
                 looking at again if want to know about recurrences.",
  onlinedate =   "January 1967",
  remark =       "This paper is frequently cited in later work on
                 continued fractions, three-term recurrence relations,
                 and special functions.",
}

@Article{Gautschi:1967:NQP,
  author =       "Walter Gautschi",
  title =        "Numerical Quadrature in the Presence of a
                 Singularity",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "4",
  number =       "3",
  pages =        "357--362",
  month =        sep,
  year =         "1967",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0704031",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65.55",
  MRnumber =     "218014",
  MRreviewer =   "R. E. Barnhill",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{G:1968:BRD,
  author =       "W. G.",
  title =        "Book Review: {Donald Greenspan, editor,
                 \booktitle{Numerical Solutions of Nonlinear
                 Differential Equations}, John Wiley \& Sons, Inc., New
                 York, 1966, x + 347 pp.}",
  journal =      j-MATH-COMPUT,
  volume =       "22",
  number =       "104",
  pages =        "896--898",
  month =        oct,
  year =         "1968",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2004598",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Wed Nov 1 10:55:04 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib",
  URL =          "https://doi.org/10.2307/2004598",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Gautschi:1968:AAG,
  author =       "Walter Gautschi",
  title =        "{Algorithm 331}: {Gaussian} Quadrature Formulas
                 [{D1}]",
  journal =      j-CACM,
  volume =       "11",
  number =       "6",
  pages =        "432--436",
  month =        jun,
  year =         "1968",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/363347.363392",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:20:20 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
}

@Article{Gautschi:1968:CGC,
  author =       "Walter Gautschi",
  title =        "Construction of {Gauss--Christoffel} Quadrature
                 Formulas",
  journal =      j-MATH-COMPUT,
  volume =       "22",
  number =       "102",
  pages =        "251--270",
  month =        apr,
  year =         "1968",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2004654",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65.55",
  MRnumber =     "228171",
  MRreviewer =   "R. E. Barnhill",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Gautschi:1969:AAC,
  author =       "W. Gautschi",
  title =        "{ACM Algorithm 363}: Complex Error Function",
  journal =      j-CACM,
  volume =       "12",
  number =       "11",
  pages =        "635",
  month =        nov,
  year =         "1969",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Thu Sep 08 09:33:14 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
  note =         "See certification \cite{Kolbig:1972:CAC}.",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
}

@Article{Gautschi:1969:ACE,
  author =       "Walter Gautschi",
  title =        "{Algorithm 363}: {Complex} Error Function [{S15}]",
  journal =      j-CACM,
  volume =       "12",
  number =       "11",
  pages =        "635--635",
  month =        nov,
  year =         "1969",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/363269.363618",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:20:28 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  note =         "See certification \cite{Kolbig:1972:CAC}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "$\erf(z)$; special functions",
}

@Article{Gautschi:1969:AMS,
  author =       "Walter Gautschi",
  title =        "An application of minimal solutions of three-term
                 recurrences to {Coulomb} wave functions",
  journal =      j-AEQUATIONES-MATHEMATICAE,
  volume =       "2",
  pages =        "171--176",
  year =         "1969",
  CODEN =        "AEMABN",
  DOI =          "https://doi.org/10.1007/BF01817701",
  ISSN =         "0001-9054 (print), 1420-8903 (electronic)",
  ISSN-L =       "0001-9054",
  MRclass =      "65.61",
  MRnumber =     "246512",
  MRreviewer =   "D. C. Gilles",
  bibdate =      "Thu Jan 09 14:46:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Aequationes Mathematicae",
  journal-URL =  "http://link.springer.com/journal/10",
}

@Article{Gautschi:1969:CMA,
  author =       "Walter Gautschi",
  title =        "On the Condition of a Matrix Arising in the Numerical
                 Inversion of the {Laplace} Transform",
  journal =      j-MATH-COMPUT,
  volume =       "23",
  number =       "105",
  pages =        "109--118",
  month =        jan,
  year =         "1969",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2005059",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65.25",
  MRnumber =     "239729",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Gautschi:1969:RAS,
  author =       "Walter Gautschi",
  title =        "Remark on {Algorithm 292} [{S22}]: {Regular} {Coulomb}
                 wave functions",
  journal =      j-CACM,
  volume =       "12",
  number =       "5",
  pages =        "280--280",
  month =        may,
  year =         "1969",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/362946.362990",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:20:26 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "Coulomb wave functions; special functions",
}

@Unpublished{Kahan:196x:ACM,
  author =       "W. M. Kahan",
  title =        "Note on bounds for generating {Bessel} functions by
                 recurrence",
  institution =  inst-BERKELEY-CS,
  address =      inst-BERKELEY-CS:adr,
  year =         "196x",
  bibdate =      "Wed Apr 30 11:14:58 2008",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  remark =       "Cited in reference 28 of Walter Gautschi, {\em
                 Computational Aspects of Three-Term Recurrence
                 Relations}, SIAM Review {\bf 9}(1) 24--82 January
                 (1967), and reference 7 of F. W. J. Olver and D. J.
                 Sookne, {\em Note on Backward Recurrence Algorithms},
                 Mathematics of Computation, {\bf 26}(120) 941--947,
                 October 1972. Web searches do not find mention of this
                 before 1967, so the date, and contents, remain
                 uncertain.",
}

@Article{G:1970:BRR,
  author =       "W. G.",
  title =        "Book Review: {R. Sauer, I. Szabo, T. P. Angelitch, G.
                 Aumann, F. L. Bauer, R. Bulirsch, H. P. Kunzi, H.
                 Rutishauser, K. Samelson, R. Sauer, and J. Stoer,
                 \booktitle{Mathematische Hilfsmittel des Ingenieurs.
                 III}, Springer-Verlag, Berlin, 1969, xviv + 534 pp., 24
                 cm. Price \$24.50}",
  journal =      j-MATH-COMPUT,
  volume =       "24",
  number =       "110",
  pages =        "475--475",
  month =        apr,
  year =         "1970",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2004494",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Sun Aug 23 12:18:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib",
  URL =          "https://www.jstor.org/stable/2004494",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  subject-dates = "Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26
                 March 2015); Heinz Rutishauser (30 January 1918--10 November
                 1970)",
}

@Article{Gautschi:1970:CGQ,
  author =       "Walter Gautschi",
  title =        "On the Construction of {Gaussian} Quadrature Rules
                 from Modified Moments",
  journal =      j-MATH-COMPUT,
  volume =       "24",
  number =       "110",
  pages =        "245--260",
  month =        apr,
  year =         "1970",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2004475",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65.55",
  MRnumber =     "285117",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Gautschi:1970:ECC,
  author =       "Walter Gautschi",
  title =        "Efficient Computation of the Complex Error Function",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "7",
  number =       "1",
  pages =        "187--198",
  month =        mar,
  year =         "1970",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0707012",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65D20",
  MRnumber =     "293813",
  MRreviewer =   "P. Barrucand",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  note =         "See erratum \cite{Weideman:1995:ECE}.",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Gautschi:1970:RAD,
  author =       "Walter Gautschi and Bruce J. Klein",
  title =        "Remark on {Algorithm 282, Derivatives of $ e^x / x $,
                 $ \cos (x) / x $, and $ \sin (x) / x $}",
  journal =      j-CACM,
  volume =       "13",
  number =       "1",
  pages =        "53--54",
  month =        jan,
  year =         "1970",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/361953.361988",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Sat Oct 30 07:27:17 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  note =         "See \cite{Gautschi:1966:AD}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  remark =       "Fullerton: Corrections are given for several Algol
                 procedures.",
}

@Article{Gautschi:1970:RCC,
  author =       "Walter Gautschi and Bruce J. Klein",
  title =        "Recursive computation of certain derivatives --- a
                 study of error propagation",
  journal =      j-CACM,
  volume =       "13",
  number =       "1",
  pages =        "7--9",
  month =        jan,
  year =         "1970",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/361953.361959",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  MRclass =      "65Q05",
  MRnumber =     "46 1115",
  MRreviewer =   "D. F. Mayers",
  bibdate =      "Tue Mar 25 13:26:09 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "A brief study is made of the propagation of errors in
                 linear first-order difference equations. The recursive
                 computation of successive derivatives of $ (e^x) / x $
                 and $ (\cos x) / x $ is considered as an
                 illustration.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4110 (Error analysis in numerical methods)",
  corpsource =   "Purdue Univ., Lafayette, IN, USA",
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "difference equations; error analysis; error
                 propagation; recursive computation; successive
                 derivatives",
  remark =       "Fullerton: Recursive calculation of derivatives of $
                 e^x / x $ and $ \cos (x) / x $ is considered.",
}

@Article{Gautschi:1970:TGQ,
  author =       "Walter Gautschi",
  title =        "Tables of {Gaussian} quadrature rules for the
                 calculation of {Fourier} coefficients",
  journal =      j-MATH-COMPUT,
  volume =       "24",
  number =       "110, loose microfiche suppl",
  pages =        "A--D",
  year =         "1970",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2004475",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65.55",
  MRnumber =     "285118",
  bibdate =      "Thu Jan 09 14:46:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Gautschi:1971:AFP,
  author =       "Walter Gautschi",
  title =        "Attenuation factors in practical {Fourier} analysis",
  journal =      j-NUM-MATH,
  volume =       "18",
  pages =        "373--400",
  year =         "1971/72",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF01406676",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65T05",
  MRnumber =     "305641",
  MRreviewer =   "Jack Bryant",
  bibdate =      "Thu Jan 09 14:46:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Kolm:1971:MAL,
  author =       "{\AA}. Kolm and T. Dahlstrand",
  title =        "Remark on ``{Algorithm 333: Minit Algorithm For Linear
                 Programming ([H])}''",
  journal =      j-CACM,
  volume =       "14",
  number =       "1",
  pages =        "50--50",
  year =         "1971",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Mon Jan 22 06:55:39 MST 2001",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 ftp://ftp.math.utah.edu/pub/tex/bib/cacm1970.bib;
                 http://dblp.uni-trier.de/db/journals/cacm/cacm14.html#KolmD71;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
  note =         "See \cite{Gautschi:1964:AAI}.",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  oldlabel =     "KolmD71",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/KolmD71",
}

@Article{Gautschi:1972:AFP,
  author =       "Walter Gautschi",
  title =        "Attenuation factors in practical {Fourier} analysis",
  journal =      j-NUM-MATH,
  volume =       "18",
  number =       "5",
  pages =        "373--400",
  month =        oct,
  year =         "1972",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "C4130 (Interpolation and function approximation)",
  corpsource =   "Purdue Univ., Lafayette, IN, USA",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "2 pi periodic function; attenuation factors; Fourier
                 analysis; function approximation; interpolation;
                 linearity; piecewise polynomial; time honoured
                 procedure; translation invariance; trapezoidal rule
                 approximation",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1972:COP,
  author =       "Walter Gautschi",
  title =        "The Condition of Orthogonal Polynomials",
  journal =      j-MATH-COMPUT,
  volume =       "26",
  number =       "120",
  pages =        "923--924",
  month =        oct,
  year =         "1972",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2005876",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33A65",
  MRnumber =     "313558",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290K (Nonlinear and functional equations); C4150
                 (Nonlinear and functional equations)",
  corpsource =   "Purdue Univ., Lafayette, IN, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "condition number; coordinate map; orthogonal
                 polynomials; polynomials",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1972:NRR,
  author =       "W. Gautschi",
  title =        "{Zur Numerik rekurrenter Relationen}. ({German})
                 [{Numerical} aspects of recurrence relations]",
  journal =      j-COMPUTING,
  volume =       "9",
  number =       "2",
  pages =        "107--126",
  month =        jun,
  year =         "1972",
  CODEN =        "CMPTA2",
  DOI =          "https://doi.org/10.1007/BF02236961",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  MRclass =      "65G05",
  MRnumber =     "312714",
  MRreviewer =   "Y. L. Luke",
  bibdate =      "Tue Jan 2 17:40:51 MST 2001",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/computing.bib;
                 INSPEC Axiom database (1968--date)",
  acknowledgement = ack-ec # " and " # ack-nhfb,
  affiliation =  "Purdue Univ. Lafayette, IN, USA",
  annote =       "Mit 3 Abbildungen ({German}) [With 3 figures].",
  classification = "B0290Z; C4190",
  description =  "numerical analysis",
  fjournal =     "Computing. Archiv f{\"u}r Elektronisches Rechnen.
                 Archives for Electronic Computing",
  journal-URL =  "http://link.springer.com/journal/607",
  keywords =     "counteracting instability; numerical stability;
                 recurrence relations; severe numerical instability",
  language =     "German",
}

@Article{Kolbig:1972:CAC,
  author =       "K. S. K{\"o}lbig",
  title =        "Certification of ``{Algorithm 363}: {Complex} error
                 function''",
  journal =      j-CACM,
  volume =       "15",
  number =       "6",
  pages =        "465--466",
  month =        jun,
  year =         "1972",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Mon Jan 22 06:55:38 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Kolbig72;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  note =         "See \cite{Gautschi:1969:ACE}.",
  acknowledgement = ack-nhfb,
  classcodes =   "C4120 (Functional analysis); C7310 (Mathematics
                 computing)",
  corpsource =   "CERN, Geneva, Switzerland",
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "$\erf(z)$; complex error function; function
                 evaluation; special functions; subroutines; Voigt
                 function",
  oldlabel =     "Kolbig72",
  treatment =    "T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Kolbig72",
}

@Article{Gautschi:1973:AAE,
  author =       "Walter Gautschi",
  title =        "{ACM Algorithm 471}: Exponential Integrals [{S13}]",
  journal =      j-CACM,
  volume =       "16",
  number =       "12",
  pages =        "761--763",
  month =        dec,
  year =         "1973",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/362552.362557",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Mon Jan 22 06:43:23 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#Gautschi73;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290M (Numerical integration and differentiation);
                 C4160 (Numerical integration and differentiation);
                 C7310 (Mathematics computing)",
  corpsource =   "Purdue Univ., Lafayette, IN, USA",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "ALGOL; computation; continued fractions; exponential
                 integrals; integration; recurrence relations;
                 recursive; subroutine; subroutines",
  oldlabel =     "Gautschi73",
  treatment =    "A Application; T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Gautschi73",
}

@Article{Gautschi:1973:CAE,
  author =       "Walter Gautschi",
  title =        "On the condition of algebraic equations",
  journal =      j-NUM-MATH,
  volume =       "21",
  number =       "5",
  pages =        "405--424",
  month =        oct,
  year =         "1973",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF01436491",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65H05",
  MRnumber =     "339478",
  MRreviewer =   "A. S. Householder",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Purdue Univ., Lafayette, IN, USA",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "algebraic equations; condition; linear algebra;
                 polynomial; polynomials; roots; sensitivity",
  treatment =    "T Theoretical or Mathematical",
}

@Book{Gautschi:1973:NAR,
  author =       "Walter Gautschi",
  title =        "Numerical aspects of recurrence relations",
  publisher =    "Aerospace Research Laboratories, Air Force Systems
                 Command, United States Air Force, Wright-Patterson Air
                 Force Base, Ohio",
  pages =        "v + 38",
  year =         "1973",
  MRclass =      "65G05",
  MRnumber =     "0312715",
  bibdate =      "Thu Jan 09 14:46:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  note =         "Translated by the author, with the publisher's
                 permission, from Computing (Arch. Elektron. Rechnen)
                 {{\bf{9}}} (1972), 107--126, ARL 73-0005",
  acknowledgement = ack-nhfb,
}

@Article{Ellis:1974:RAHb,
  author =       "T. M. R. Ellis",
  title =        "Remark on ``{Algorithm 420}: Hidden-Line Plotting
                 Program''",
  journal =      j-CACM,
  volume =       "17",
  number =       "12",
  pages =        "706--??",
  year =         "1974",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Mon Jan 22 06:37:51 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#Ellis74a;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  oldlabel =     "Ellis74a",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Ellis74a",
  xxnote =       "See remarks
                 \cite{Williamson:1972:AAH,Macleod:1973:RAH,Williamson:1973:RAH,Ellis:1974:RAHa,Gaither:1974:RAH,Gautschi:1964:AAI}.",
}

@Article{Gautschi:1974:CTQ,
  author =       "Walter Gautschi and Hiroki Yanagiwara",
  title =        "On {Chebyshev}-Type Quadratures",
  journal =      j-MATH-COMPUT,
  volume =       "28",
  number =       "125",
  pages =        "125--134",
  month =        jan,
  year =         "1974",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2005819",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D30",
  MRnumber =     "331731",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 B0290M (Numerical integration and differentiation);
                 C4130 (Interpolation and function approximation); C4160
                 (Numerical integration and differentiation)",
  corpsource =   "Purdue Univ., Lafayette, IN, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "algebraic equations; Chebyshev approximation;
                 Chebyshev type quadratures; integration; multiple node;
                 n point Chebyshev quadrature formulas; single",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1974:HMI,
  author =       "Walter Gautschi",
  title =        "A Harmonic Mean Inequality for the Gamma Function",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "5",
  number =       "2",
  pages =        "278--281",
  month =        apr,
  year =         "1974",
  CODEN =        "SJMAAH",
  DOI =          "https://doi.org/10.1137/0505030",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "33A15",
  MRnumber =     "350077",
  MRreviewer =   "S. Saran",
  bibdate =      "Sun Nov 28 19:27:42 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/5/2;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Mathematical Analysis",
  journal-URL =  "http://epubs.siam.org/sima",
}

@Article{Gautschi:1974:SMV,
  author =       "Walter Gautschi",
  title =        "Some Mean Value Inequalities for the Gamma Function",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "5",
  number =       "2",
  pages =        "282--292",
  month =        apr,
  year =         "1974",
  CODEN =        "SJMAAH",
  DOI =          "https://doi.org/10.1137/0505031",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "33A15",
  MRnumber =     "350078",
  MRreviewer =   "S. Saran",
  bibdate =      "Sun Nov 28 19:27:42 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/5/2;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Mathematical Analysis",
  journal-URL =  "http://epubs.siam.org/sima",
}

@Article{Anderson:1975:OWC,
  author =       "L. A. Anderson and W. Gautschi",
  title =        "Optimal weighted {Chebyshev}-type quadrature
                 formulas",
  journal =      j-CALCOLO,
  volume =       "12",
  number =       "3",
  pages =        "211--248",
  year =         "1975",
  CODEN =        "CALOBK",
  DOI =          "https://doi.org/10.1007/BF02576818",
  ISSN =         "0008-0624 (print), 1126-5434 (electronic)",
  ISSN-L =       "0008-0624",
  MRclass =      "65D30",
  MRnumber =     "423764",
  MRreviewer =   "Sven-\AA ke Gustafson",
  bibdate =      "Thu Jan 09 14:46:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Calcolo. A Quarterly on Numerical Analysis and Theory
                 of Computation",
  journal-URL =  "http://link.springer.com/journal/10092",
}

@InProceedings{Gautschi:1975:CMS,
  author =       "Walter Gautschi",
  booktitle =    "Theory and application of special functions ({Proc}.
                 {Advanced} {Sem}., {Math}. {Res}. {Center}, {Univ}.
                 {Wisconsin}, {Madison}, {Wis}., 1975)",
  title =        "Computational Methods in Special Functions --- a
                 Survey",
  crossref =     "Askey:1975:TAS",
  pages =        "1--98. Math. Res. Center, Univ. Wisconsin Publ., No.
                 35",
  year =         "1975",
  MRclass =      "65D15",
  MRnumber =     "0391476",
  MRreviewer =   "H. E. Fettis",
  bibdate =      "Sat Oct 30 07:42:41 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Extensive list of references.",
}

@Article{Gautschi:1975:NCT,
  author =       "Walter Gautschi",
  title =        "Nonexistence of {Chebyshev}-Type Quadratures on
                 Infinite Intervals",
  journal =      j-MATH-COMPUT,
  volume =       "29",
  number =       "129",
  pages =        "93--99",
  month =        jan,
  year =         "1975",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2005465",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D30",
  MRnumber =     "368392",
  MRreviewer =   "Henning Esser",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0220 (Mathematical analysis); B0290F (Interpolation
                 and function approximation); C1120 (Mathematical
                 analysis); C4130 (Interpolation and function
                 approximation)",
  corpsource =   "Purdue Univ., Lafayette, IN, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "algebraic; Chebyshev approximation; Chebyshev type
                 quadratures; degree of accuracy; infinite; integration;
                 intervals; number theory; polynomials; quadrature
                 rules; weight function",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1975:NEI,
  author =       "Walter Gautschi",
  title =        "Norm Estimates for Inverses of {Vandermonde}
                 Matrices",
  journal =      j-NUM-MATH,
  volume =       "23",
  number =       "4",
  pages =        "337--347",
  month =        aug,
  year =         "1975",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF01438260",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65F35",
  MRnumber =     "378382",
  MRreviewer =   "Alan L. Andrew",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Purdue Univ., La Fayette, IN, USA",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "asymptotic estimates; inverses; matrix algebra; norm
                 estimates; scaling; Vandermonde matrices",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1975:OCV,
  author =       "Walter Gautschi",
  title =        "Optimally Conditioned {Vandermonde} Matrices",
  journal =      j-NUM-MATH,
  volume =       "24",
  number =       "1",
  pages =        "1--12",
  month =        feb,
  year =         "1975",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF01437212",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65F35",
  MRnumber =     "426401",
  MRreviewer =   "L. Fox",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "B0260 (Optimisation techniques); B0290H (Linear
                 algebra); C1180 (Optimisation techniques); C4140
                 (Linear algebra)",
  corpsource =   "Purdue Univ., W. Lafayette, IN, USA",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "condition number; matrix algebra; minimisation;
                 minimize; nonlinear constraints; nonlinear minimax
                 problem; nonlinear programming; optimally conditioned
                 Vandermonde matrices; symmetric point configurations",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1975:SDG,
  author =       "Walter Gautschi",
  title =        "Stime dell'errore globale nei metodi ``one-step'' per
                 equazioni differenziali ordinarie. ({Italian})
                 [{Estimates} of the global error in ``one-step''
                 methods for ordinary differential equations]",
  journal =      "Rendiconti di Matematica. Serie VII. Universit{\`a}
                 degli Studi di Roma. Istituto Matematica Guido
                 Castelnuovo. Istituto di Matematica Applicata. Istituto
                 Nazionale di Alta Matematica",
  volume =       "8",
  number =       "2",
  pages =        "601--617",
  year =         "1975",
  ISSN =         "0034-4427",
  MRclass =      "65L05",
  MRnumber =     "383751",
  MRreviewer =   "H. C. Kranzer",
  bibdate =      "Thu Jan 09 14:46:25 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  note =         "Collection of articles dedicated to Mauro Picone, II",
  acknowledgement = ack-nhfb,
  ajournal =     "Rend. Mat. (6)",
  fjournal =     "Rendiconti di Matematica. Serie VI.",
  language =     "Italian",
}

@Article{Skovgaard:1975:RBF,
  author =       "Ove Skovgaard",
  title =        "Remark on ``{Algorithm 236: Bessel Functions of the
                 First Kind [S17]}''",
  journal =      j-TOMS,
  volume =       "1",
  number =       "3",
  pages =        "282--284",
  month =        sep,
  year =         "1975",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Tue Feb 06 05:26:43 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Gautschi:1964:AAB}.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@Article{Gautschi:1976:ACQ,
  author =       "Walter Gautschi",
  title =        "Advances in {Chebyshev} quadrature",
  journal =      j-LECT-NOTES-MATH,
  volume =       "506",
  pages =        "100--121",
  year =         "1976",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0080118",
  ISBN =         "3-540-07610-7 (print), 3-540-38129-5 (e-book)",
  ISBN-13 =      "978-3-540-07610-0 (print), 978-3-540-38129-7
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  MRclass =      "65D30",
  MRnumber =     "0468117 (57 \#7956)",
  MRreviewer =   "M. M. Chawla",
  bibdate =      "Fri May 9 19:07:56 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1975.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0080118/",
  acknowledgement = ack-nhfb,
  book-DOI =     "https://doi.org/10.1007/BFb0080109",
  book-URL =     "http://www.springerlink.com/content/978-3-540-38129-7",
  fjournal =     "Lecture Notes in Mathematics",
  journal-URL =  "http://link.springer.com/bookseries/304",
}

@Article{Gautschi:1977:ACC,
  author =       "Walter Gautschi",
  title =        "Anomalous convergence of a continued fraction for
                 ratios of {Kummer} functions",
  journal =      j-MATH-COMPUT,
  volume =       "31",
  number =       "140",
  pages =        "994--999",
  month =        oct,
  year =         "1977",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR
                 database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C1120 (Mathematical analysis); C4170 (Differential
                 equations)",
  corpsource =   "Dept. of Computer Sci., Purdue Univ., Lafayette, IN,
                 USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "apparent; Bessel functions; continued fraction;
                 convergence; differential equations; gamma functions;
                 Kummer functions; wrong limit",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1977:ARI,
  author =       "Walter Gautschi",
  title =        "{Algorithm 521}: Repeated Integrals of the Coerror
                 Function [{S15}]",
  journal =      j-TOMS,
  volume =       "3",
  number =       "3",
  pages =        "301--302",
  month =        sep,
  year =         "1977",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355744.355756",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Sat Aug 27 23:03:07 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@Article{Gautschi:1977:ERI,
  author =       "Walter Gautschi",
  title =        "Evaluation of Repeated Integrals of the Coerror
                 Function",
  journal =      j-TOMS,
  volume =       "3",
  number =       "3",
  pages =        "240--252",
  month =        sep,
  year =         "1977",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355744.355748",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Sat Aug 27 22:26:34 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  remark =       "Fullerton: An arbitrary-accuracy method for evaluating
                 $ i^n \erfc (x) $ is given.",
}

@Article{Gautschi:1977:OCQ,
  author =       "Walter Gautschi and Giovanni Monegato",
  title =        "On optimal {Chebyshev-type} quadratures",
  journal =      j-NUM-MATH,
  volume =       "28",
  number =       "1",
  pages =        "59--67",
  month =        mar,
  year =         "1977",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Mon Jun 02 08:56:06 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "C4160 (Numerical integration and differentiation)",
  corpsource =   "Math. Res. Center, Univ. of Wisconsin-Madison,
                 Madison, WI, USA",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "Chebyshev quadrature; exactness; integration;
                 minimize; optimal",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Jansen:1977:RLF,
  author =       "J. K. M. Jansen",
  title =        "Remark on ``{Algorithm 259}: {Legendre} Functions for
                 Arguments Larger than One''",
  journal =      j-TOMS,
  volume =       "3",
  number =       "2",
  pages =        "204--205",
  month =        jun,
  year =         "1977",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355732.356467",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Tue Feb 06 05:28:08 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See \cite{Gautschi:1965:ALF}.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  xxpages =      "204--250",
}

@Article{Gautschi:1978:CMB,
  author =       "Walter Gautschi and Josef Slavik",
  title =        "On the computation of modified {Bessel} function
                 ratios",
  journal =      j-MATH-COMPUT,
  volume =       "32",
  number =       "143",
  pages =        "865--875",
  month =        jul,
  year =         "1978",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR
                 database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C1120 (Mathematical analysis); C4130 (Interpolation
                 and function approximation)",
  corpsource =   "Dept. of Computer Sci., Purdue Univ., Lafayette, IN,
                 USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "Bessel; Bessel functions; continued fraction;
                 fraction; function approximation; functions; Gauss'
                 continued; modified Bessel function ratios; Perron's
                 continued fraction",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1978:IVC,
  author =       "Walter Gautschi",
  title =        "On inverses of {Vandermonde} and confluent
                 {Vandermonde} matrices. {III}",
  journal =      j-NUM-MATH,
  volume =       "29",
  number =       "4",
  pages =        "445--450",
  month =        apr,
  year =         "1978",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "15A12, 65F35",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "C4140 (Linear algebra)",
  corpsource =   "Dept. of Computer Sci., Purdue Univ., Lafayette, IN,
                 USA",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "analytic function theory; inverse confluent
                 Vandermonde matrices; inverse Vandermonde matrix;
                 matrix algebra; polynomials",
  treatment =    "A Application; T Theoretical or Mathematical",
}

@InCollection{Gautschi:1978:QNC,
  author =       "Walter Gautschi",
  booktitle =    "Recent advances in numerical analysis ({Proc. Sympos.,
                 Math. Res. Center, Univ. Wisconsin, Madison, Wis.,
                 1978})",
  title =        "Questions of numerical conditions related to
                 polynomials",
  volume =       "41",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "45--72",
  year =         "1978",
  MRclass =      "65D99",
  MRnumber =     "519056",
  MRreviewer =   "Gerhard Merz",
  bibdate =      "Fri Feb 9 15:26:45 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "Publ. Math. Res. Center Univ. Wisconsin",
  acknowledgement = ack-nhfb,
}

@Article{Gautschi:1979:AIG,
  author =       "W. Gautschi",
  title =        "{Algorithm 542}: Incomplete Gamma Functions [{S14}]",
  journal =      j-TOMS,
  volume =       "5",
  number =       "4",
  pages =        "482--489",
  month =        dec,
  year =         "1979",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355853.355864",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Sun Aug 28 00:39:50 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  remark =       "Fullerton: FORTRAN routines of adjustable accuracy.",
}

@Article{Gautschi:1979:CPI,
  author =       "Walter Gautschi",
  title =        "A Computational Procedure for Incomplete Gamma
                 Functions",
  journal =      j-TOMS,
  volume =       "5",
  number =       "4",
  pages =        "466--481",
  month =        dec,
  year =         "1979",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355853.355863",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Sun Aug 28 00:32:50 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcw.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@Article{Gautschi:1979:CPP,
  author =       "Walter Gautschi",
  title =        "The Condition of Polynomials in Power Form",
  journal =      j-MATH-COMPUT,
  volume =       "33",
  number =       "145",
  pages =        "343--352",
  month =        jan,
  year =         "1979",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D99 (41A10)",
  MRnumber =     "80f:65034",
  MRreviewer =   "C. W. Clenshaw",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Computer Sci., Purdue Univ., W.Lafayette, IN,
                 USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "bounds; condition number; coordinate map; origin;
                 polynomials; power form; upper",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1979:PPL,
  author =       "Walter Gautschi",
  title =        "On the preceding paper {``A Legendre polynomial
                 integral''} by {James L. Blue}",
  journal =      j-MATH-COMPUT,
  volume =       "33",
  number =       "146",
  pages =        "742--743",
  month =        apr,
  year =         "1979",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D30",
  MRnumber =     "81b:65021b",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4130 (Interpolation and function approximation);
                 C4180 (Integral equations)",
  corpsource =   "Dept. of Computer Sci., Purdue Univ., W.Lafayette, IN,
                 USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "integral; integral equations; Legendre polynomials;
                 polynomials",
  treatment =    "G General Review; T Theoretical or Mathematical",
}

@InProceedings{Gautschi:1981:CNA,
  author =       "Walter Gautschi",
  title =        "{Christoffel} and Numerical Analysis",
  crossref =     "Butzer:1981:BCI",
  pages =        "749--749",
  year =         "1981",
  bibdate =      "Thu Jan 09 18:12:04 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
}

@Article{Gautschi:1981:MST,
  author =       "Walter Gautschi",
  title =        "Minimal solutions of three-term recurrence relations
                 and orthogonal polynomials",
  journal =      j-MATH-COMPUT,
  volume =       "36",
  number =       "154",
  pages =        "547--554",
  month =        apr,
  year =         "1981",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33A65 (65D20 65D30)",
  MRnumber =     "82m:33006",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4130 (Interpolation and function approximation)",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "continued fraction algorithm; distribution; expansion
                 coefficient; Gauss method; Jacobi; mass; moment
                 problem; moment sequence; numerical methods; orthogonal
                 polynomials; polynomials; quadrature formulas;
                 three-term recurrence",
  treatment =    "A Application; T Theoretical or Mathematical",
}

@InProceedings{Gautschi:1981:RCW,
  author =       "Walter Gautschi",
  title =        "Recognition of {Christoffel}'s Work on Quadrature
                 during and after His Lifetime",
  crossref =     "Butzer:1981:BCI",
  pages =        "724--727",
  year =         "1981",
  bibdate =      "Thu Jan 09 18:12:04 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Gautschi:1981:SGC,
  author =       "Walter Gautschi",
  title =        "A Survey of {Gauss--Christoffel} Quadrature Formulae",
  crossref =     "Butzer:1981:BCI",
  pages =        "72--147",
  year =         "1981",
  bibdate =      "Thu Jan 09 18:12:04 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
}

@Article{Schneider:1981:HAM,
  author =       "Hans Schneider and Chandler Davis and Walter Gautschi
                 and Olga Taussky Todd",
  title =        "Honoring {Alexander M. Ostrowski}",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "38",
  number =       "??",
  pages =        "3--3",
  month =        jun,
  year =         "1981",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(81)90002-1",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Wed Nov 30 13:48:45 MST 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379581900021",
  acknowledgement = ack-nhfb,
  author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995)",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
}

@Article{Forster:1982:BOT,
  author =       "Klaus-J{\"u}rgen F{\"o}rster",
  title =        "{Bemerkungen zur optimalen Tschebyscheff-Typ
                 Quadratur}. ({German}) [{Remarks} on optimal
                 {Chebyshev}-type quadratures]",
  journal =      j-NUM-MATH,
  volume =       "38",
  number =       "3",
  pages =        "421--425",
  month =        mar,
  year =         "1982",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "",
  MRnumber =     "83d:65065",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "B0260 (Optimisation techniques); B0290F
                 (Interpolation and function approximation); C1180
                 (Optimisation techniques); C4130 (Interpolation and
                 function approximation)",
  corpsource =   "Tech. Univ. Braunschweig, Braunschweig, West Germany",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "algebraic degree; approximation; Chebyshev
                 approximation; E-optimal formulae; Gautschi;
                 minimisation; Monegato; optimal Chebyshev-type
                 quadratures; optimisation; Sard; symmetry",
  language =     "German",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1982:GOP,
  author =       "Walter Gautschi",
  title =        "On Generating Orthogonal Polynomials",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "3",
  number =       "3",
  pages =        "289--317",
  month =        sep,
  year =         "1982",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0903018",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65D15 (33A65 65D20)",
  MRnumber =     "84e:65022",
  MRreviewer =   "H. E. Fettis",
  bibdate =      "Mon Mar 31 09:59:07 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Computer Sci., Purdue Univ., West Lafayette,
                 IN, USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "Chebyshev; Chebyshev approximation; finite-dimensional
                 maps; numerical stability; orthogonal polynomials;
                 polynomials; Stieltjes",
  onlinedate =   "September 1982",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1982:POR,
  author =       "Walter Gautschi",
  title =        "Polynomials orthogonal with respect to the reciprocal
                 gamma function",
  journal =      j-BIT,
  volume =       "22",
  number =       "3",
  pages =        "387--389",
  month =        sep,
  year =         "1982",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01934452",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65D32 (33A15 65A05 65D25)",
  MRnumber =     "84h:65024",
  bibdate =      "Wed Jan 4 18:52:17 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=22&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=22&issue=3&spage=387",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Gautschi:1983:AMO,
  author =       "Walter Gautschi",
  title =        "To {Alexander M. Ostrowski} on his ninetieth
                 birthday",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "52/53",
  number =       "??",
  pages =        "xi--xiv",
  year =         "1983",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "01A70",
  MRnumber =     "84k:01055",
  bibdate =      "Thu Jan 23 11:18:08 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
}

@Article{Gautschi:1983:CBC,
  author =       "Walter Gautschi",
  title =        "On the convergence behavior of continued fractions
                 with real elements",
  journal =      j-MATH-COMPUT,
  volume =       "40",
  number =       "161",
  pages =        "337--342",
  month =        jan,
  year =         "1983",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "40A15 (33A15)",
  MRnumber =     "84i:40001",
  MRreviewer =   "Kh. {\u{I}}. Kuchm{\=\i}ns{\'k}a",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Gautschi:1983:CVL,
  author =       "Walter Gautschi",
  title =        "The Condition of {Vandermonde}-like Matrices Involving
                 Orthogonal Polynomials",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "52/53",
  number =       "??",
  pages =        "293--300",
  year =         "1983",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F35 (15A12 65F40)",
  MRnumber =     "84i:65043",
  MRreviewer =   "N. N. Abdelmalek",
  bibdate =      "Thu Jan 23 11:18:08 MST 1997",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  keywords =     "nla, pert, Vandermonde matrix, orthogonal polynomial,
                 condition",
}

@Article{Gautschi:1983:EBG,
  author =       "Walter Gautschi and Richard S. Varga",
  title =        "Error bounds for {Gaussian} quadrature of analytic
                 functions",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "20",
  number =       "6",
  pages =        "1170--1186",
  month =        dec,
  year =         "1983",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65D32",
  MRnumber =     "85j:65010",
  MRreviewer =   "I. P. Mysovskikh",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Gautschi:1983:HHC,
  author =       "Walter Gautschi",
  title =        "How and how not to check {Gaussian} quadrature
                 formulae",
  journal =      j-BIT,
  volume =       "23",
  number =       "2",
  pages =        "209--216",
  month =        jun,
  year =         "1983",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF02218441",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65D30",
  MRnumber =     "84e:65024",
  MRreviewer =   "G. A. Evans",
  bibdate =      "Wed Jan 4 18:52:18 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=23&issue=2;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=23&issue=2&spage=209",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Gautschi:1984:DAS,
  author =       "Walter Gautschi",
  title =        "Discrete approximations to spherically symmetric
                 distributions",
  journal =      j-NUM-MATH,
  volume =       "44",
  number =       "1",
  pages =        "53--60",
  month =        jun,
  year =         "1984",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65D15",
  MRnumber =     "85h:65038",
  MRreviewer =   "Luciano Biasini",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Computer Sci., Purdue Univ., West Lafayette,
                 IN, USA",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "approximation theory; Bose--Einstein distributions;
                 Dirac delta functions; discrete approximations;
                 Fermi--Dirac distributions; Gauss--Christoffel
                 quadrature; Heaviside step functions; Maxwell
                 distributions; spherically symmetric distributions",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1984:MYL,
  author =       "Walter Gautschi and Jet Wimp",
  title =        "In memoriam: {Yudell L. Luke, June 26, 1918--May 6,
                 1983}",
  journal =      j-MATH-COMPUT,
  volume =       "43",
  number =       "168",
  pages =        "349--352",
  month =        oct,
  year =         "1984",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "01A70",
  MRnumber =     "86b:01033",
  bibdate =      "Sat Jan 11 13:29:06 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@InCollection{Gautschi:1984:QNC,
  author =       "Walter Gautschi",
  title =        "Questions of numerical condition related to
                 polynomials",
  crossref =     "Golub:1984:SNA",
  volume =       "24",
  pages =        "140--177",
  year =         "1984",
  MRclass =      "65F35 (65H05)",
  MRnumber =     "925213",
  bibdate =      "Fri Feb 9 15:28:14 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}

@Article{Gautschi:1984:SOP,
  author =       "Walter Gautschi",
  title =        "On some orthogonal polynomials of interest in
                 theoretical chemistry",
  journal =      j-BIT,
  volume =       "24",
  number =       "4",
  pages =        "473--483",
  month =        dec,
  year =         "1984",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01934906",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65D20 (33A65 42C05 80A50)",
  MRnumber =     "86d:65030",
  MRreviewer =   "T. S. Chihara",
  bibdate =      "Wed Jan 4 18:52:18 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=24&issue=4;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=24&issue=4&spage=473",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Gautschi:1985:GQI,
  author =       "Walter Gautschi and Gradimir V. Milovanovi",
  title =        "{Gaussian} Quadrature Involving {Einstein} and {Fermi}
                 Functions with an Application to Summation of Series",
  journal =      j-MATH-COMPUT,
  volume =       "44",
  number =       "169",
  pages =        "177--190",
  month =        jan,
  year =         "1985",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Mon Jun 18 07:22:24 MDT 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2007801",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Gautschi:1985:OPC,
  author =       "Walter Gautschi",
  title =        "Orthogonal polynomials --- Constructive theory and
                 applications",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "12--13",
  number =       "??",
  pages =        "61--76",
  month =        may,
  year =         "1985",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:27:12 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/037704278590007X",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Gautschi:1985:SGQ,
  author =       "Walter Gautschi and Gradimir V. Milovanovi",
  title =        "Supplement to {Gaussian} Quadrature Involving
                 {Einstein} and {Fermi} Functions with an Application to
                 Summation of Series",
  journal =      j-MATH-COMPUT,
  volume =       "44",
  number =       "169",
  pages =        "S1--S11",
  month =        jan,
  year =         "1985",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Mon Jun 18 07:22:24 MDT 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2007816",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Gautschi:1985:SNA,
  author =       "Walter Gautschi",
  title =        "Some new applications of orthogonal polynomials",
  journal =      j-LECT-NOTES-MATH,
  volume =       "1171",
  pages =        "63--73",
  year =         "1985",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0076531",
  ISBN =         "3-540-16059-0 (print), 3-540-39743-4 (e-book)",
  ISBN-13 =      "978-3-540-16059-5 (print), 978-3-540-39743-4
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  MRclass =      "33A65 (41A15 65D07)",
  MRnumber =     "838971 (87h:33014)",
  MRreviewer =   "S. Conde",
  bibdate =      "Fri May 9 19:07:47 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1985.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0076531/",
  acknowledgement = ack-nhfb,
  book-DOI =     "https://doi.org/10.1007/BFb0076527",
  book-URL =     "http://www.springerlink.com/content/978-3-540-39743-4",
  fjournal =     "Lecture Notes in Mathematics",
  journal-URL =  "http://link.springer.com/bookseries/304",
}

@Article{Calio:1986:CGK,
  author =       "Franca Cali{\`o} and Walter Gautschi and Elena
                 Marchetti",
  title =        "On Computing {Gauss--Kronrod} Quadrature Formulae",
  journal =      j-MATH-COMPUT,
  volume =       "47",
  number =       "176",
  pages =        "639--650, S57--S63",
  month =        oct,
  year =         "1986",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D32",
  MRnumber =     "88a:65028",
  MRreviewer =   "G. A. Evans",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4130 (Interpolation and function approximation);
                 C4160 (Numerical integration and differentiation)",
  corpsource =   "Dipartimento di Matematica, Politechico Milano,
                 Italy",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "algebraic singularity; Gauss--Kronrod; integration;
                 logarithmic singularity; modified moments; Newton
                 method; nonlinear maps; numerical condition;
                 polynomial; polynomials; quadrature formulae",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Calio:1986:SCG,
  author =       "Franca Calio and Walter Gautschi and Elena Marchetti",
  title =        "Supplement to On Computing {Gauss--Kronrod} Quadrature
                 Formulae",
  journal =      j-MATH-COMPUT,
  volume =       "47",
  number =       "176",
  pages =        "S57--S63",
  month =        oct,
  year =         "1986",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Flury:1986:ASO,
  author =       "Bernhard N. Flury and Walter Gautschi",
  title =        "An algorithm for simultaneous orthogonal
                 transformation of several positive definite symmetric
                 matrices to nearly diagonal form",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "7",
  number =       "1",
  pages =        "169--184",
  month =        jan,
  year =         "1986",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0907013",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F30 (62H25)",
  MRnumber =     "87g:65061",
  MRreviewer =   "John Todd",
  bibdate =      "Mon Mar 31 09:59:37 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  classification = "B0240Z (Other topics in statistics); B0290F
                 (Interpolation and function approximation); B0290H
                 (Linear algebra); C1140Z (Other topics in statistics);
                 C4130 (Interpolation and function approximation); C4140
                 (Linear algebra)",
  corpsource =   "Dept. of Stat., Berne Univ., Switzerland",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "characteristic vectors; common principal components;
                 iterative algorithm; iterative methods; matrix algebra;
                 maximum likelihood estimates; nearly diagonal form;
                 positive definite symmetric matrices; simultaneous
                 orthogonal transformation; statistical analysis",
  onlinedate =   "January 1986",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1986:SAS,
  author =       "Walter Gautschi and Gradimir V. Milovanovi{\'c}",
  title =        "Spline approximations to spherically symmetric
                 distributions",
  journal =      j-NUM-MATH,
  volume =       "49",
  number =       "2/3",
  pages =        "111--121",
  month =        mar,
  year =         "1986",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "",
  MRnumber =     "87j:41033",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Comput. Sci., Purdue Univ., West Lafayette,
                 IN, USA",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "approximation theory; moment functional; n-point
                 Gauss--Christoffel quadrature formula; pointwise
                 convergence; spherically symmetric distributions;
                 spline approximations; spline function; splines
                 (mathematics); statistical mechanics",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1986:SOP,
  author =       "Walter Gautschi",
  title =        "On the sensitivity of orthogonal polynomials to
                 perturbations in the moments",
  journal =      j-NUM-MATH,
  volume =       "48",
  number =       "4",
  pages =        "369--382",
  month =        apr,
  year =         "1986",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "33A65 (65D20)",
  MRnumber =     "87i:33028",
  MRreviewer =   "G. Meinardus",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "B0240Z (Other topics in statistics); B0290F
                 (Interpolation and function approximation); B0290K
                 (Nonlinear and functional equations); C1140Z (Other
                 topics in statistics); C4130 (Interpolation and
                 function approximation); C4150 (Nonlinear and
                 functional equations)",
  corpsource =   "Dept. of Comput. Sci., Purdue Univ., West Lafayette,
                 IN, USA",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "Chebyshev weight distributions; Jacobi weight
                 distributions; modified moments; nonlinear equations;
                 nonlinear maps; orthogonal polynomials; perturbation
                 techniques; perturbations; polynomials; positive weight
                 distribution; recursion coefficients; sensitivity;
                 sensitivity analysis; statistics",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Frontini:1987:MPS,
  author =       "Marco Frontini and Walter Gautschi and Gradimir V.
                 Milovanovi{\'c}",
  title =        "Moment-preserving spline approximation on finite
                 intervals",
  journal =      j-NUM-MATH,
  volume =       "50",
  number =       "5",
  pages =        "503--518",
  month =        mar,
  year =         "1987",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "41A29 (41A15 65D07)",
  MRnumber =     "88g:41019",
  MRreviewer =   "Eli Passow",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dipartimento di Matematica, Politecnico di Milano,
                 Italy",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "approximation theory; finite intervals; Gauss--Lobatto
                 rules; Gauss--Radau quadrature rules; moment
                 functionals; moment preserving spline approximation;
                 pointwise convergence; splines (mathematics)",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1987:CHT,
  author =       "Walter Gautschi and Jet Wimp",
  title =        "Computing the {Hilbert} transform of a {Jacobi} weight
                 function",
  journal =      j-BIT,
  volume =       "27",
  number =       "2",
  pages =        "203--215",
  month =        jun,
  year =         "1987",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01934185",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65R10 (65D30 65D32)",
  MRnumber =     "88i:65154",
  MRreviewer =   "G. F. Miller",
  bibdate =      "Wed Jan 4 18:52:20 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=27&issue=2;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=27&issue=2&spage=203",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Gautschi:1987:CIH,
  author =       "Walter Gautschi",
  title =        "A Conjectured Inequality for {Hermite} Interpolation
                 at the Zeros of {Jacobi} Polynomials",
  journal =      j-SIAM-REVIEW,
  volume =       "29",
  number =       "2",
  pages =        "297--298",
  month =        "????",
  year =         "1987",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1029047",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:54:15 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/29/2;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "June 1987",
}

@Article{Gautschi:1987:NES,
  author =       "Walter Gautschi and M. A. Kova{\v{c}}evi{\'c} and
                 Gradimir V. Milovanovi{\'c}",
  title =        "The numerical evaluation of singular integrals with
                 coth-kernel",
  journal =      j-BIT,
  volume =       "27",
  number =       "3",
  pages =        "389--402",
  month =        sep,
  year =         "1987",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01933733",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65D30",
  MRnumber =     "88i:65030",
  MRreviewer =   "P. Linz",
  bibdate =      "Wed Jan 4 18:52:20 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=27&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=27&issue=3&spage=389",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Gautschi:1988:ASG,
  author =       "Walter Gautschi and Sotirios E. Notaris",
  title =        "An algebraic study of {Gauss--Kronrod} quadrature
                 formulae for {Jacobi} weight functions",
  journal =      j-MATH-COMPUT,
  volume =       "51",
  number =       "183",
  pages =        "231--248",
  month =        jul,
  year =         "1988",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D32",
  MRnumber =     "89f:65031",
  MRreviewer =   "B. Boyanov",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290M (Numerical integration and differentiation);
                 C4160 (Numerical integration and differentiation)",
  corpsource =   "Purdue Univ., West Lafayette, IN, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "Gauss--Kronrod quadrature formulae; Gegenbauer weight
                 function; integration; interlacing property; Jacobi
                 weight functions; orthogonal polynomials",
  treatment =    "T Theoretical or Mathematical; X Experimental",
}

@Article{Gautschi:1988:FGK,
  author =       "Walter Gautschi and Theodore J. Rivlin",
  title =        "A Family of {Gauss--Kronrod} Quadrature Formulae",
  journal =      j-MATH-COMPUT,
  volume =       "51",
  number =       "184",
  pages =        "749--754",
  month =        oct,
  year =         "1988",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D32",
  MRnumber =     "89m:65029",
  MRreviewer =   "Hans Strauss",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4160 (Numerical integration and differentiation)",
  corpsource =   "Dept. of Comput. Sci., Purdue Univ., West Lafayette,
                 IN, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "Gauss nodes; Gauss--Kronrod quadrature formulae;
                 Gaussian quadrature formula; integration; Kronrod
                 extension; Kronrod nodes; weights",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1988:LBC,
  author =       "Walter Gautschi and Gabriele Inglese",
  title =        "Lower Bounds for the Condition Number of {Vandermonde}
                 Matrices",
  journal =      j-NUM-MATH,
  volume =       "52",
  number =       "3",
  pages =        "241--250",
  month =        mar,
  year =         "1988",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65F35 (15A12)",
  MRnumber =     "89b:65108",
  MRreviewer =   "Ludwig Elsner",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "C4140 (Linear algebra)",
  corpsource =   "Dept. of Comput. Sci., Purdue Univ., West Lafayette,
                 IN, USA",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "condition number; lower bounds; matrix algebra; node
                 vector; optimal spectral condition numbers; positive
                 elements; real elements; Vandermonde matrices",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Anonymous:1989:EGK,
  author =       "Anonymous",
  title =        "Erratum: {Gauss--Kronrod quadrature formulae for
                 weight functions of Bernstein--Szeg{\H{o}} type:
                 Journal of Computational and Applied Mathematics {\bf
                 25} (2) (1989) 199--224}",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "27",
  number =       "3",
  pages =        "429--429",
  month =        nov,
  year =         "1989",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:20:43 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  note =         "See \cite{Gautschi:1989:GKQ}.",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042789900289",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Gautschi:1989:GKQ,
  author =       "Walter Gautschi and Sotorios E. Notaris",
  title =        "{Gauss--Kronrod} quadrature formulae for weight
                 functions of {Bernstein--Szeg{\H{o}}} type",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "25",
  number =       "2",
  pages =        "199--224",
  month =        feb,
  year =         "1989",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:20:41 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  note =         "See erratum \cite{Anonymous:1989:EGK}.",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042789900472",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Gautschi:1989:ZPO,
  author =       "Walter Gautschi",
  title =        "On the zeros of polynomials orthogonal on the
                 semicircle",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "20",
  number =       "3",
  pages =        "738--743",
  month =        may,
  year =         "1989",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "30C15 (30C10 33A65 41A58)",
  MRnumber =     "90f:30006",
  MRreviewer =   "M. Lachance",
  bibdate =      "Sun Nov 28 19:24:48 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/20/3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Mathematical Analysis",
  journal-URL =  "http://epubs.siam.org/sima",
}

@InProceedings{Gautschi:1990:HSV,
  author =       "Walter Gautschi",
  title =        "How (un)stable are {Vandermonde} systems?",
  crossref =     "Wong:1990:ACA",
  pages =        "193--210",
  year =         "1990",
  MRclass =      "65F35 (15A12)",
  MRnumber =     "1052434",
  bibdate =      "Thu Nov 16 09:34:22 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Frank William John Olver (15 December 1924--23 April
                 2013)",
}

@Article{Cordova:1990:VMC,
  author =       "Antonio C{\'o}rdova and Walter Gautschi and Stephan
                 Ruscheweyh",
  title =        "{Vandermonde} matrices on the circle: spectral
                 properties and conditioning",
  journal =      j-NUM-MATH,
  volume =       "57",
  number =       "6/7",
  pages =        "577--591",
  month =        jul,
  year =         "1990",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "",
  MRnumber =     "91i:15008",
  MRreviewer =   "Ching-Tsuan Pan",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  note =         "Paper presented at the Conference on Approximation
                 Theory and Numerical Linear Algebra, 30 March -- 1
                 April, 1989, Kent, Ohio.",
  acknowledgement = ack-nhfb,
  classification = "C4140 (Linear algebra)",
  corpsource =   "Math. Inst., Wurzburg Univ., West Germany",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "circle; condition numbers; eigenvectors; matrix
                 algebra; multiplicities; polynomials; singular values;
                 theory of polynomials; Van der Corput sequence;
                 Vandermonde matrices",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1990:NCI,
  author =       "Walter Gautschi and E. Tychopoulos and R. S. Varga",
  title =        "A Note on the Contour Integral Representation of the
                 Remainder Term for a {Gauss--Chebyshev} Quadrature
                 Rule",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "27",
  number =       "1",
  pages =        "219--224",
  month =        feb,
  year =         "1990",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65D32",
  MRnumber =     "91d:65044",
  MRreviewer =   "G. A. Evans",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Gautschi:1990:RTA,
  author =       "Walter Gautschi and Shikang Li",
  title =        "The remainder term for analytic functions of
                 {Gauss--Radau} and {Gauss--Lobatto} quadrature rules
                 with multiple end points",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "33",
  number =       "3",
  pages =        "315--329",
  day =          "31",
  month =        dec,
  year =         "1990",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:20:48 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S037704270580007X",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Book{Rutishauser:1990:LNM,
  editor =       "Heinz Rutishauser and Martin Gutknecht",
  title =        "Lectures on numerical mathematics",
  publisher =    pub-BIRKHAUSER-BOSTON,
  address =      pub-BIRKHAUSER-BOSTON:adr,
  pages =        "xv + 546",
  year =         "1990",
  DOI =          "https://doi.org/10.1007/978-1-4612-3468-5",
  ISBN =         "0-8176-3491-6",
  ISBN-13 =      "978-0-8176-3491-9",
  LCCN =         "QA297 .R8713 1990",
  MRclass =      "65-01",
  MRnumber =     "1102678 (92b:65002)",
  bibdate =      "Tue May 27 08:31:10 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Edited by Martin Gutknecht with the assistance of
                 Peter Henrici, Peter L{\"a}uchli and Hans-Rudolf
                 Schwarz, With a foreword by Gutknecht and a preface by
                 Henrici, L{\"a}uchli and Schwarz, Translated from the
                 German and with a preface by Walter Gautschi",
  acknowledgement = ack-nhfb,
  author-dates = "1918--1970",
  remark =       "Translation of: Vorlesungen {\"u}ber numerische
                 Mathematik.",
  subject =      "Numerical analysis",
}

@Article{Gautschi:1991:CSCa,
  author =       "Walter Gautschi",
  title =        "A class of slowly convergent series and their
                 summation by {Gaussian} quadrature",
  journal =      j-MATH-COMPUT,
  volume =       "57",
  number =       "195",
  pages =        "309--324",
  month =        jul,
  year =         "1991",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D32 (33C45 44A10)",
  MRnumber =     "91j:65049",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290M (Numerical integration and differentiation);
                 C4160 (Numerical integration and differentiation)",
  corpsource =   "Purdue Univ., West Lafayette, IN, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "(mathematics); convergence of numerical methods;
                 Einstein weight functions; Fermi; fractional power;
                 function; Gaussian quadrature; general term;
                 integration; Laplace transformation; rational; series;
                 slowly convergent series; summation; weight functions",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1991:CSCb,
  author =       "Walter Gautschi",
  title =        "On certain slowly convergent series occurring in plate
                 contact problems",
  journal =      j-MATH-COMPUT,
  volume =       "57",
  number =       "195",
  pages =        "325--338",
  month =        jul,
  year =         "1991",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "40A05 (44A10 73K10 73T05)",
  MRnumber =     "91j:40002",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C1130 (Integral transforms); C4100 (Numerical
                 analysis)",
  corpsource =   "Purdue Univ., West Lafayette, IN, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "(mathematics); complex; convergence of numerical
                 methods; Laplace transforms; plate contact; problems;
                 series; series summing; slowly convergent series",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1991:GRG,
  author =       "Walter Gautschi and Shikang Li",
  title =        "{Gauss--Radau} and {Gauss--Lobatto} quadratures with
                 double end points",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "34",
  number =       "3",
  pages =        "343--360",
  day =          "26",
  month =        apr,
  year =         "1991",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:20:49 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/037704279190094Z",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Gautschi:1991:QFH,
  author =       "Walter Gautschi",
  title =        "Quadrature formulae on half-infinite intervals",
  journal =      j-BIT,
  volume =       "31",
  number =       "3",
  pages =        "437--446",
  month =        sep,
  year =         "1991",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01933261",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65D32 (41A55)",
  MRnumber =     "92h:65038",
  MRreviewer =   "N. S. Kambo",
  bibdate =      "Wed Jan 4 18:52:22 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=31&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=31&issue=3&spage=437",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
  xxpages =      "438--446??",
}

@Article{Gautschi:1992:MCE,
  author =       "Walter Gautschi",
  title =        "On mean convergence of extended {Lagrange}
                 interpolation",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "43",
  number =       "1--2",
  pages =        "19--35",
  day =          "25",
  month =        nov,
  year =         "1992",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:20:55 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/037704279290257X",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Gautschi:1993:CGF,
  author =       "Walter Gautschi",
  title =        "On the computation of generalized {Fermi--Dirac} and
                 {Bose--Einstein} integrals",
  journal =      j-COMP-PHYS-COMM,
  volume =       "74",
  number =       "2",
  pages =        "233--238",
  month =        feb,
  year =         "1993",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(93)90093-R",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 21:29:36 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/001046559390093R",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Gautschi:1993:RRO,
  author =       "Walter Gautschi",
  title =        "Is the recurrence relation for orthogonal polynomials
                 always stable?",
  journal =      j-BIT,
  volume =       "33",
  number =       "2",
  pages =        "277--284",
  month =        jun,
  year =         "1993",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01989750",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "39A11 (65D99)",
  MRnumber =     "96f:39012",
  MRreviewer =   "B. M. Agrawal",
  bibdate =      "Wed Jan 4 18:52:23 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=33&issue=2;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.mai.liu.se/BIT/contents/bit33.html;
                 http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=33&issue=2&spage=277",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Book{Stoer:1993:INA,
  author =       "Josef Stoer and Roland Bulirsch",
  title =        "Introduction to numerical analysis",
  volume =       "12",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "Second",
  pages =        "xiii + 660",
  year =         "1993",
  ISBN =         "0-387-97878-X (New York), 3-540-97878-X (Berlin)",
  ISBN-13 =      "978-0-387-97878-9 (New York), 978-3-540-97878-7
                 (Berlin)",
  LCCN =         "QA297 .S8213 1993",
  MRclass =      "65-01",
  MRnumber =     "1295246 (95i:65006)",
  MRreviewer =   "David R. Hill",
  bibdate =      "Tue May 27 08:33:47 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Translated from the German by R. Bartels, W. Gautschi
                 and C. Witzgall",
  series =       "Texts in Applied Mathematics",
  acknowledgement = ack-nhfb,
  keywords =     "numerical analysis",
  subject =      "Numerical analysis",
}

@Article{Gautschi:1994:ACP,
  author =       "Walter Gautschi",
  title =        "{Algorithm 726}: {ORTHPOL}\emdash a Package of
                 Routines for Generating Orthogonal Polynomials and
                 {Gauss}-Type Quadrature Rules",
  journal =      j-TOMS,
  volume =       "20",
  number =       "1",
  pages =        "21--62",
  month =        mar,
  year =         "1994",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/174603.174605",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Tue Mar 09 10:16:24 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See remark \cite{Gautschi:1998:RAO}.",
  URL =          "http://www.acm.org/pubs/citations/journals/toms/1994-20-1/p21-gautschi/",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@InProceedings{Higham:1994:SCPb,
  author =       "Nicholas J. Higham",
  editor =       "Walter Gautschi",
  booktitle =    "{Mathematics of Computation} 1943--1993: {A} Half
                 Century of Computational Mathematics",
  title =        "A Survey of Componentwise Perturbation Theory in
                 Numerical Linear Algebra",
  volume =       "48",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "49--77",
  year =         "1994",
  bibdate =      "Fri Mar 24 08:51:18 GMT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  series =       "Proceedings of Symposia in Applied Mathematics",
  acknowledgement = ack-njh # "\slash " # ack-nhfb,
}

@InProceedings{Pomerance:1994:NFS,
  author =       "C. Pomerance",
  editor =       "W. Gautschi",
  booktitle =    "Mathematics of Computation 1943--1993: A Half-Century
                 of Computational Mathematics. Mathematics of
                 Computation 50th Anniversary Symposium, August 9--13,
                 1993, Vancouver, British Columbia",
  title =        "The number field sieve",
  volume =       "48",
  publisher =    "American Mathematical Society",
  address =      "Providence, RI, USA",
  pages =        "465--480",
  year =         "1994",
  ISBN =         "0-8218-0291-7, 0-8218-0353-0 (pt. 1), 0-8218-0354-9
                 (pt. 2)",
  ISBN-13 =      "978-0-8218-0291-5, 978-0-8218-0353-0 (pt. 1),
                 978-0-8218-0354-7 (pt. 2)",
  LCCN =         "QA1 .A56 v.48 1994",
  bibdate =      "Fri Nov 20 15:54:39 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/cryptography1990.bib",
  series =       "Proceedings of symposia in applied mathematics",
  acknowledgement = ack-nhfb,
  referencedin = "Referenced in \cite[Ref. 12]{Odlyzko:1995:FIF}.",
}

@InProceedings{Rojas:1994:WIC,
  author =       "Ra{\'u}l Rojas",
  editor =       "Walter Gautschi",
  booktitle =    "{Mathematics of Computation} 1943--1993: {A} Half
                 Century of Computational Mathematics",
  title =        "Who Invented the Computer? {The} Debate from the
                 Viewpoint of Computer Architecture",
  volume =       "48",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "361--365",
  year =         "1994",
  bibdate =      "Fri Mar 24 08:51:18 GMT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  series =       "Proceedings of Symposia in Applied Mathematics",
  acknowledgement = ack-nhfb,
}

@Article{Gautschi:1995:COP,
  author =       "Walter Gautschi and Minda Zhang",
  title =        "Computing orthogonal polynomials in {Sobolev} spaces",
  journal =      j-NUM-MATH,
  volume =       "71",
  number =       "2",
  pages =        "159--183",
  month =        aug,
  year =         "1995",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65D15",
  MRnumber =     "96g:65017",
  MRreviewer =   "John B. Kioustelidis",
  bibdate =      "Thu Jan 23 07:49:52 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  URL =          "http://link.springer.de/link/service/journals/00211/bibs/5071002/50710159.htm;
                 http://science.springer.de/nmee/bibs/5071002/50710159.htm",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Gautschi:1995:WPR,
  author =       "Walter Gautschi",
  title =        "The work of {Philip Rabinowitz} on numerical
                 integration",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "9",
  number =       "3--4",
  pages =        "199--222",
  month =        "????",
  year =         "1995",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/BF02141588",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65-03 (01A60 01A70 65D30)",
  MRnumber =     "96e:65002",
  bibdate =      "Fri Nov 6 18:06:29 MST 1998",
  bibsource =    "http://www.math.psu.edu/dna/contents/na.html;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Weideman:1995:ECE,
  author =       "J. A. C. Weideman",
  title =        "Erratum: {``Computation of the complex error
                 function'' [SIAM J. Numer. Anal. {\bf 7} (1970), no. 1,
                 187--198]}",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "32",
  number =       "1",
  pages =        "330--331",
  month =        feb,
  year =         "1995",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65D20 (33B20)",
  MRnumber =     "95h:65012b",
  MRreviewer =   "Andrea Laforgia",
  bibdate =      "Mon Jan 20 15:27:00 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib",
  note =         "See \cite{Gautschi:1970:ECC}.",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Elliott:1996:BRA,
  author =       "David Elliott",
  title =        "Book Reviews: {{\em Approximation and Computation: A
                 Festschrift in honor of Walter Gautschi}}, edited by
                 {R. V. M. Zahar}",
  journal =      j-MATH-COMPUT,
  volume =       "65",
  number =       "215",
  pages =        "??--??",
  month =        jul,
  year =         "1996",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Mon Jul 26 11:50:09 1999",
  bibsource =    "http://www.ams.org/mcom/1996-65-215;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
  URL =          "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00705-3&u=/mcom/1996-65-215/",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  xxpages =      "1365--1377",
}

@Article{Gautschi:1996:BRP,
  author =       "Walter Gautschi",
  title =        "Book Reviews: {{\em Parallel processing for scientific
                 computing}}, edited by {David H. Bailey}, {Petter E.
                 Bj{\o}rstad}, {John R. Gilbert}, {Michael V. Mascagni},
                 {Robert S. Schreiber}, {Horst D. Simon}, {Virginia J.
                 Torczon} and {Layne T. Watson}",
  journal =      j-MATH-COMPUT,
  volume =       "65",
  number =       "213",
  pages =        "??--??",
  month =        jan,
  year =         "1996",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Mon Jul 26 12:07:20 1999",
  bibsource =    "http://www.ams.org/mcom/1996-65-213;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
  URL =          "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00666-7&u=/mcom/1996-65-213/",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  xxpages =      "429--443",
}

@Article{Gautschi:1996:OPA,
  author =       "Walter Gautschi",
  title =        "Orthogonal polynomials: applications and computation",
  journal =      j-ACTA-NUMERICA,
  volume =       "5",
  pages =        "45--119",
  year =         "1996",
  CODEN =        "ANUMFU",
  DOI =          "https://doi.org/10.1017/S0962492900002622",
  ISBN =         "0-521-57234-7",
  ISBN-13 =      "978-0-521-57234-7",
  ISSN =         "0962-4929 (print), 1474-0508 (electronic)",
  ISSN-L =       "0962-4929",
  bibdate =      "Sat Sep 24 10:23:35 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/UIA.bib;
                 https://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Acta Numer.",
  fjournal =     "Acta Numerica",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=ANU",
  keywords =     "ORT INT",
  onlinedate =   "07 November 2008",
}

@Article{Gautschi:1996:QCE,
  author =       "Walter Gautschi and Shikang Li",
  title =        "On quadrature convergence of extended {Lagrange}
                 interpolation",
  journal =      j-MATH-COMPUT,
  volume =       "65",
  number =       "215",
  pages =        "1249--1256",
  month =        jul,
  year =         "1996",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.1090/S0025-5718-96-00731-4",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "41A05 (65D32)",
  MRnumber =     "96j:41005",
  MRreviewer =   "R. Franke",
  bibdate =      "Fri Jul 16 10:38:35 MDT 1999",
  bibsource =    "http://www.ams.org/mcom/1996-65-215;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
  URL =          "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00731-4&u=/mcom/1996-65-215/",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Comput. Sci., Purdue Univ., West Lafayette,
                 IN, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "Chebyshev approximation; Chebyshev weight; continuous
                 function; convergence of numerical methods; extended
                 Lagrange interpolation; functions; interpolation;
                 necessary and sufficient conditions; orthogonal
                 polynomial; poles and zeros; polynomials; quadrature
                 convergence",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Gautschi:1996:SPR,
  author =       "Walter Gautschi and Sotirios E. Notaris",
  title =        "{Stieltjes} polynomials and related quadrature
                 formulae for a class of weight functions",
  journal =      j-MATH-COMPUT,
  volume =       "65",
  number =       "215",
  pages =        "1257--1268",
  month =        jul,
  year =         "1996",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.1090/S0025-5718-96-00732-6",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33C45 (41A55 65D32)",
  MRnumber =     "96k:33015",
  MRreviewer =   "Gradimir V. Milovanovi{\'c}",
  bibdate =      "Fri Jul 16 10:38:35 MDT 1999",
  bibsource =    "http://www.ams.org/mcom/1996-65-215;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
  URL =          "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00732-6&u=/mcom/1996-65-215/",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Commun. and Mass Media, Nat. and Capodistrian
                 Univ. of Athens, Greece",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "functions; Gauss--Kronrod quadrature formulae;
                 interpolation; interpolatory; orthogonal polynomials;
                 poles and zeros; polynomials; quadrature formulae;
                 relation; Stieltjes polynomials; three-term recurrence;
                 weight; zeros",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Gautschi:1997:MQP,
  author =       "W. Gautschi",
  title =        "Moments in quadrature problems",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "33",
  number =       "1--2",
  pages =        "105--118",
  month =        jan,
  year =         "1997",
  CODEN =        "CMAPDK",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 21:48:34 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0898122196002234",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}

@Book{Gautschi:1997:NA,
  author =       "Walter Gautschi",
  title =        "Numerical analysis",
  publisher =    pub-BIRKHAUSER-BOSTON,
  address =      pub-BIRKHAUSER-BOSTON:adr,
  pages =        "xiv + 506",
  year =         "1997",
  ISBN =         "0-8176-3895-4",
  ISBN-13 =      "978-0-8176-3895-5",
  MRclass =      "65-01",
  MRnumber =     "1454125 (98d:65001)",
  MRreviewer =   "Ian Gladwell",
  bibdate =      "Tue May 27 07:40:02 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
  note =         "An introduction",
  acknowledgement = ack-nhfb,
}

@Book{Gautschi:1997:NAI,
  author =       "Walter Gautschi",
  title =        "Numerical analysis: an introduction",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "xiii + 506",
  year =         "1997",
  ISBN =         "0-8176-3895-4, 3-7643-3895-4 (Basel)",
  ISBN-13 =      "978-0-8176-3895-5, 978-3-7643-3895-4 (Basel)",
  LCCN =         "QA297 .G35 1997",
  bibdate =      "Wed Nov 3 09:30:14 MST 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
  acknowledgement = ack-nhfb,
  keywords =     "numerical analysis",
}

@Article{Gautschi:1997:OCG,
  author =       "Walter Gautschi and Gradimir V. Milovanovic",
  title =        "{$S$}-orthogonality and construction of
                 {Gauss--Tur{\'a}n}-type quadrature formulae",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "86",
  number =       "1",
  pages =        "205--218",
  day =          "28",
  month =        nov,
  year =         "1997",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:36:04 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042797001568",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Lenstra:1997:BRM,
  author =       "H. W. {Lenstra, Jr.}",
  title =        "Book Reviews: {{\em Mathematics of Computation
                 1943-1993: A half-century of computational
                 mathematics}}, by {Walter Gautschi (Editor)}",
  journal =      j-MATH-COMPUT,
  volume =       "66",
  number =       "219",
  pages =        "??--??",
  month =        jul,
  year =         "1997",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Fri Jul 16 10:38:45 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  xxpages =      "1367--1374",
}

@TechReport{Gander:1998:AQR,
  author =       "Walter Gander and Walter Gautschi",
  title =        "Adaptive quadrature: Revisited",
  type =         "Technical Report",
  number =       "306",
  institution =  "ETH Z{\"u}rich",
  address =      "Z{\"u}rich, Switzerland",
  pages =        "ii + 21",
  year =         "1998",
  DOI =          "https://doi.org/10.3929/ETHZ-A-006652954",
  bibdate =      "Sat Jan 6 07:48:08 2024",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  URL =          "http://hdl.handle.net/20.500.11850/69327",
  abstract =     "First, the basic principles of adaptive quadrature are
                 reviewed. Adaptive quadrature programs being recursive
                 by nature, the choice of a good termination criterion
                 is given particular attention. Two Matlab quadrature
                 programs are presented. The first is an implementation
                 of the well-known adaptive recursive Simpson's rule,
                 the second is new and is based on a four-point
                 Gauss--Lobatto formula and two successive Kronrod
                 extensions. Comparative test results are described and
                 attention is drawn to serious deficiencies in the
                 adaptive routines quad and quad provided by Matlab",
  acknowledgement = ack-nhfb,
  keywords =     "quadrature formulas (numerical mathematics); Matlab
                 (software f{\"u}r numerische Berechnung); Numerische
                 Integration (numerische Mathematik); Quadraturformeln
                 (numerische Mathematik); numerical integration
                 (numerical mathematics); Matlab (software for numerical
                 computation); numerical errors + error estimation
                 (numerical mathematics); numerische Fehler +
                 Fehlersch{\"a}tzung (numerische Mathematik);
                 info:eu-repo/classification/ddc/510;
                 info:eu-repo/classification/ddc/004; Mathematics; FOS:
                 Mathematics; Data processing; computer science",
}

@Article{Gautschi:1998:RAO,
  author =       "Walter Gautschi",
  title =        "Remark on {Algorithm 726}: {ORTHPOL} --- a package of
                 routines for generating orthogonal polynomials and
                 {Gauss}-type quadrature rules",
  journal =      j-TOMS,
  volume =       "24",
  number =       "3",
  pages =        "355--355",
  month =        sep,
  year =         "1998",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/292395.292467",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Tue Mar 09 10:16:21 1999",
  bibsource =    "http://www.acm.org/pubs/contents/journals/toms/1998-24/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See \cite{Gautschi:1994:ACP}.",
  URL =          "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-3/p355-gautschi/",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "algorithms",
  subject =      "{\bf G.1.2} Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation. {\bf G.1.4} Mathematics of
                 Computing, NUMERICAL ANALYSIS, Quadrature and Numerical
                 Differentiation. {\bf G.4} Mathematics of Computing,
                 MATHEMATICAL SOFTWARE.",
}

@Article{Gautschi:1999:AGG,
  author =       "Walter Gautschi",
  title =        "{Algorithm 793}: {GQRAT} --- {Gauss} Quadrature for
                 Rational Functions",
  journal =      j-TOMS,
  volume =       "25",
  number =       "2",
  pages =        "213--239",
  month =        jun,
  year =         "1999",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/317275.317282",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Wed Oct 20 18:21:35 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  URL =          "ftp://netlib.bell-labs.com/netlib/toms/793.gz;
                 http://phase.etl.go.jp/netlib/toms/793;
                 http://www.acm.org/pubs/citations/journals/toms/1999-25-2/p213-gautschi/;
                 http://www.hensa.ac.uk/netlib/toms/793.gz;
                 http://www.netlib.no/netlib/toms/793;
                 http://www.netlib.org/toms/793",
  abstract =     "The concern here is with Gauss-type quadrature rules
                 that are exact for a mixture of polynomials and
                 rational functions, the latter being selected so as to
                 simulate poles that may be present in the integrand.
                 The underlying theory is presented as well as methods
                 for constructing such rational Gauss formulae. Relevant
                 computer routines are provided and applied to a number
                 examples, including Fermi--Dirac and Bose--Einstein
                 integrals of interest in solid state physics.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "construction of quadrature rules; Gaussian quadrature
                 exact for rational functions; generalized Fermi--Dirac
                 and Bose Einstein integrals",
  subject =      "Software --- Programming Languages --- Language
                 Classifications (D.3.2): FORTRAN 77; Mathematics of
                 Computing --- Numerical Analysis --- Quadrature and
                 Numerical Differentiation (G.1.4); General Terms:
                 Algorithms",
}

@Article{Gautschi:1999:NRC,
  author =       "Walter Gautschi",
  title =        "A Note on the Recursive Calculation of Incomplete
                 Gamma Functions",
  journal =      j-TOMS,
  volume =       "25",
  number =       "1",
  pages =        "101--107",
  month =        mar,
  year =         "1999",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/305658.305717",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Thu Jul 15 19:01:02 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  URL =          "http://www.acm.org:80/pubs/citations/journals/toms/1999-25-1/p101-gautschi/",
  abstract =     "It is known that the recurrence relation for
                 incomplete gamma functions $ \Gamma (a + n, x), 0 \le a
                 < 1 $, $ n = 0, 1, 2 \ldots $, when $x$ is positive, is
                 unstable---more so the larger $x$. Nevertheless, the
                 recursion can be used in the range $ 0 \le n \le x$
                 practically without error growth, and in larger ranges
                 $ 0 \le n \le N$ with a loss of accuracy that can be
                 controlled by suitably limiting $N$.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "algorithms; reliability",
  subject =      "{\bf G.1.0} Mathematics of Computing, NUMERICAL
                 ANALYSIS, General, Stability (and instability). {\bf
                 G.1.2} Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation.",
}

@Article{Gautschi:1999:OPQ,
  author =       "Walter Gautschi",
  title =        "Orthogonal polynomials and quadrature",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "9",
  pages =        "65--76",
  year =         "1999",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Mon Sep 6 12:28:29 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/etna.bib",
  URL =          "http://etna.mcs.kent.edu/vol.9.1999/pp65-76.dir/pp65-76.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Stetter:1999:BRN,
  author =       "Hans J. Stetter",
  title =        "Book Reviews: {{\em Numerical analysis, an
                 introduction}}, by {Walter Gautschi}",
  journal =      j-MATH-COMPUT,
  volume =       "68",
  number =       "226",
  pages =        "887--887",
  month =        apr,
  year =         "1999",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Mon Jul 26 12:48:16 1999",
  bibsource =    "http://www.ams.org/mcom/1999-68-226;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
  URL =          "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-99-01060-1&u=/mcom/1999-68-226/",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  xxpages =      "887--891",
}

@Article{Gander:2000:AQR,
  author =       "Walter Gander and Walter Gautschi",
  title =        "Adaptive quadrature --- revisited",
  journal =      j-BIT-NUM-MATH,
  volume =       "40",
  number =       "1",
  pages =        "84--101",
  month =        mar,
  year =         "2000",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1023/A:1022318402393",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 15:06:03 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=40&issue=1;
                 http://www.mai.liu.se/BIT/contents/bit40.html;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=40&issue=1&spage=84",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Gautschi:2000:BRC,
  author =       "Walter Gautschi",
  title =        "Book review: {{\em Computational Integration}}",
  journal =      j-MATH-COMPUT,
  volume =       "69",
  number =       "231",
  pages =        "1311--1312",
  month =        jul,
  year =         "2000",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Wed Nov 1 11:50:05 MST 2000",
  bibsource =    "http://www.ams.org/mcom/2000-69-231;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp2000.bib",
  URL =          "http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/bookrev-S0025-5718-00-01249-7.html;
                 http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/S0025-5718-00-01249-7.dvi;
                 http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/S0025-5718-00-01249-7.pdf;
                 http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/S0025-5718-00-01249-7.ps;
                 http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/S0025-5718-00-01249-7.tex",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Gautschi:2000:HOG,
  author =       "Walter Gautschi",
  title =        "High-order {Gauss--Lobatto} formulae",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "25",
  number =       "1--4",
  pages =        "213--222",
  month =        sep,
  year =         "2000",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1023/A:1016689830453",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65D32 (41A55)",
  MRnumber =     "1 827 155",
  bibdate =      "Mon Sep 29 08:37:05 MDT 2003",
  bibsource =    "http://www.kluweronline.com/issn/1017-1398;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib;
                 MathSciNet database",
  note =         "Mathematical journey through analysis, matrix theory
                 and scientific computation (Kent, OH, 1999).",
  URL =          "http://ipsapp007.kluweronline.com/content/getfile/5058/3/20/abstract.htm;
                 http://ipsapp007.kluweronline.com/content/getfile/5058/3/20/fulltext.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2000:QRR,
  author =       "Walter Gautschi and Laura Gori and M. Laura {Lo
                 Cascio}",
  title =        "Quadrature rules for rational functions",
  journal =      j-NUM-MATH,
  volume =       "86",
  number =       "4",
  pages =        "617--633",
  month =        oct,
  year =         "2000",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/PL00005412",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Mon Nov 13 16:17:20 MST 2000",
  bibsource =    "http://link.springer-ny.com/link/service/journals/00211/tocs/t0086004.htm;
                 http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0029-599X;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
  URL =          "http://link.springer-ny.com/link/service/journals/00211/bibs/0086004/00860617.htm;
                 http://link.springer-ny.com/link/service/journals/00211/papers/0086004/00860617.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Gautschi:2001:CHT,
  author =       "Walter Gautschi and J{\"o}rg Waldvogel",
  title =        "Computing the {Hilbert} transform of the generalized
                 {Laguerre} and {Hermite} weight functions",
  journal =      j-BIT-NUM-MATH,
  volume =       "41",
  number =       "3",
  pages =        "490--503",
  month =        jun,
  year =         "2001",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1023/A:1021915128433",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 15:06:04 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=41&issue=3;
                 http://www.mai.liu.se/BIT/contents/bit41.html;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=41&issue=3&spage=490",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Gautschi:2001:NBF,
  author =       "Walter Gautschi",
  title =        "{{\em Note\/}}: Barycentric formulae for cardinal
                 ({SINC}-) interpolants by {Jean-Paul Berrut}",
  journal =      j-NUM-MATH,
  volume =       "87",
  number =       "4",
  pages =        "791--792",
  month =        feb,
  year =         "2001",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/PL00005433",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Fri Feb 23 06:45:03 MST 2001",
  bibsource =    "http://link.springer-ny.com/link/service/journals/00211/tocs/t1087004.htm;
                 http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0029-599X;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
  URL =          "http://link.springer-ny.com/link/service/journals/00211/bibs/1087004/10870791.htm;
                 http://link.springer-ny.com/link/service/journals/00211/papers/1087004/10870791.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Gautschi:2001:P,
  author =       "Walter Gautschi and Francisco Marcell{\'a}n and Lothar
                 Reichel",
  title =        "Preface",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "127",
  number =       "1--2",
  pages =        "ix--xi",
  day =          "15",
  month =        jan,
  year =         "2001",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:43:38 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042700004908",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Gautschi:2001:URF,
  author =       "Walter Gautschi",
  title =        "The use of rational functions in numerical
                 quadrature",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "133",
  number =       "1--2",
  pages =        "111--126",
  day =          "1",
  month =        aug,
  year =         "2001",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:45:19 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042700006373",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Gautschi:2002:CBA,
  author =       "Walter Gautschi",
  title =        "Computation of {Bessel} and {Airy} functions and of
                 related {Gaussian} quadrature formulae",
  journal =      j-BIT-NUM-MATH,
  volume =       "42",
  number =       "1",
  pages =        "110--118",
  month =        mar,
  year =         "2002",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1023/A:1021974203359",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "33C10 (33C45 33F05 65D20 65D32)",
  MRnumber =     "MR1896388 (2003d:33010)",
  MRreviewer =   "Kh{\'e}lifa Trim{\`e}che",
  bibdate =      "Wed Jan 4 15:06:05 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=42&issue=1;
                 http://www.mai.liu.se/BIT/contents/bit42.html;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=42&issue=1&spage=110",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Gautschi:2002:GQA,
  author =       "W. Gautschi",
  title =        "{Gauss} quadrature approximations to hypergeometric
                 and confluent hypergeometric functions",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "139",
  number =       "1",
  pages =        "173--187",
  day =          "1",
  month =        feb,
  year =         "2002",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "33F05 (33C05 33C15 65D20)",
  MRnumber =     "MR1876879 (2002m:33029)",
  bibdate =      "Thu Dec 01 09:11:13 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  remark =       "The paper treats ordinary and confluent hypergeometric
                 functions $_2 F_1$ and $_1 F_1$, using their integral
                 representations to obtain Gaussian quadrature rules.",
}

@Article{Gautschi:2002:IBC,
  author =       "Walter Gautschi",
  title =        "The interplay between classical analysis and
                 (numerical) linear algebra --- a tribute to {Gene H.
                 Golub}",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "13",
  number =       "??",
  pages =        "119--147",
  month =        "????",
  year =         "2002",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Thu Jun 6 10:18:47 MDT 2013",
  bibsource =    "http://etna.mcs.kent.edu/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/etna.bib",
  URL =          "http://etna.mcs.kent.edu/vol.13.2002/pp119-147.dir/pp119-147.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
  subject-dates = "Gene Howard Golub (February 29, 1932--November 16,
                 2007)",
}

@Article{Anonymous:2003:BRIc,
  author =       "Anonymous",
  title =        "Book Review: {{\booktitle{Introduction to numerical
                 analysis}}, Texts in Applied Mathematics 12: Third
                 Edition. By J. Stoer and R. Bulirsch. Translated by R.
                 Bartels, W. Gautschi, and C. Witzgall. Springer, New
                 York. (2002). 744 pages. \$69.95}",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "46",
  number =       "2--3",
  pages =        "509--510",
  month =        jul # "\slash " # aug,
  year =         "2003",
  CODEN =        "CMAPDK",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 21:49:31 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0898122103900587",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}

@Article{Gautschi:2003:EEI,
  author =       "W. Gautschi and F. E. Harris and N. M. Temme",
  title =        "Expansions of the exponential integral in incomplete
                 gamma functions",
  journal =      j-APPL-MATH-LETT,
  volume =       "16",
  number =       "7",
  pages =        "1095--1099",
  month =        oct,
  year =         "2003",
  CODEN =        "AMLEEL",
  DOI =          "https://doi.org/10.1016/S0893-9659(03)90100-5",
  ISSN =         "0893-9659 (print), 1873-5452 (electronic)",
  ISSN-L =       "0893-9659",
  MRclass =      "33B20",
  bibdate =      "Wed Dec 4 10:29:43 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/harris-frank-e.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  ZMnumber =     "1058.33002",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics Letters",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08939659",
}

@Article{Gautschi:2004:GGR,
  author =       "Walter Gautschi",
  title =        "Generalized {Gauss--Radau} and {Gauss--Lobatto}
                 Formulae",
  journal =      j-BIT-NUM-MATH,
  volume =       "44",
  number =       "4",
  pages =        "711--720",
  month =        dec,
  year =         "2004",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/s10543-004-3812-0",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 15:06:06 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=44&issue=4;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=44&issue=4&spage=711",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Book{Gautschi:2004:OPC,
  author =       "Walter Gautschi",
  title =        "Orthogonal Polynomials: Computation and
                 Approximation",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "viii + 301",
  year =         "2004",
  ISBN =         "0-19-850672-4",
  ISBN-13 =      "978-0-19-850672-0",
  LCCN =         "QA404.5 .G356 2004",
  bibdate =      "Fri Apr 17 10:43:12 MDT 2009",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcw.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Orthogonal polynomials",
  xxseries =     "Numerical mathematics and scientific computation;
                 Oxford science publications",
  xxURL =        "http://www.loc.gov/catdir/enhancements/fy0621/2004556094-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0621/2004556094-t.html;
                 http://www.loc.gov/catdir/enhancements/fy0726/2004556094-b.html",
}

@Article{Gautschi:2005:CPO,
  author =       "Walter Gautschi",
  title =        "Computing polynomials orthogonal with respect to
                 densely oscillating and exponentially decaying weight
                 functions and related integrals",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "184",
  number =       "2",
  pages =        "493--504",
  day =          "15",
  month =        dec,
  year =         "2005",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 13:00:35 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042705000440",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Gautschi:2005:HLF,
  author =       "Walter Gautschi",
  title =        "The {Hardy--Littlewood} function: an exercise in
                 slowly convergent series",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "179",
  number =       "1--2",
  pages =        "249--254",
  day =          "1",
  month =        jul,
  year =         "2005",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 13:00:05 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042704004510",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Gautschi:2005:HNG,
  author =       "Walter Gautschi",
  title =        "A historical note on {Gauss--Kronrod} quadrature",
  journal =      j-NUM-MATH,
  volume =       "100",
  number =       "3",
  pages =        "483--484",
  month =        may,
  year =         "2005",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/s00211-005-0592-7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Sat May 14 10:26:41 MDT 2005",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0029-599X;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
  abstract =     "The idea of Gauss--Kronrod quadrature, in a germinal
                 form, is traced back to an 1894 paper of R. Skutsch
                 [Skutsch, Rudolf: {\"U}ber Formelpaare der mechanischen
                 Quadratur. [On pairs of Formulas for mechanical
                 quadrature]. Arch. Math. Phys. 13(2), 78--83 (1894)].",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Gautschi:2005:NQC,
  author =       "Walter Gautschi",
  title =        "Numerical Quadrature Computation of the {Macdonald}
                 Function for Complex Orders",
  journal =      j-BIT-NUM-MATH,
  volume =       "45",
  number =       "3",
  pages =        "593--603",
  month =        sep,
  year =         "2005",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/s10543-005-0020-5",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 15:06:07 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=45&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=45&issue=3&spage=593",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Gautschi:2005:OPM,
  author =       "Walter Gautschi",
  title =        "Orthogonal polynomials (in {Matlab})",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "178",
  number =       "1--2",
  pages =        "215--234",
  day =          "1",
  month =        jun,
  year =         "2005",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/j.cam.2004.03.029",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 13:00:05 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib;
                 https://www.math.utah.edu/pub/tex/bib/matlab.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042704003760",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Gautschi:2006:CKL,
  author =       "Walter Gautschi",
  title =        "Computing the {Kontorovich--Lebedev} Integral
                 Transforms and their Inverses",
  journal =      j-BIT-NUM-MATH,
  volume =       "46",
  number =       "1",
  pages =        "21--40",
  month =        mar,
  year =         "2006",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/s10543-005-0036-x",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Oct 31 11:37:27 MDT 2007",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Gautschi:2006:CTR,
  author =       "Walter Gautschi",
  title =        "The circle theorem and related theorems for
                 {Gauss}-type quadrature rules",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "25",
  pages =        "129--137",
  year =         "2006",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Mon Sep 6 12:28:30 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/etna.bib",
  URL =          "http://etna.mcs.kent.edu/vol.25.2006/pp129-137.dir/pp129-137.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Gautschi:2006:OPQ,
  author =       "Walter Gautschi",
  title =        "Orthogonal Polynomials, Quadrature, and Approximation:
                 Computational Methods and Software (in {Matlab})",
  journal =      j-LECT-NOTES-MATH,
  volume =       "1883",
  pages =        "1--77",
  year =         "2006",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/978-3-540-36716-1_1",
  ISBN =         "3-540-31062-2 (print), 3-540-36716-0 (e-book)",
  ISBN-13 =      "978-3-540-31062-4 (print), 978-3-540-36716-1
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  MRclass =      "41A55 (65T99; 65D30; 42C05); 33F05 (33C45 42C05
                 65D20)",
  MRnumber =     "MR2243527 (2008m:33060)",
  bibdate =      "Fri May 9 19:07:06 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm2000.bib;
                 https://www.math.utah.edu/pub/tex/bib/matlab.bib",
  URL =          "http://link.springer.com/content/pdf/10.1007/978-3-540-36716-1_1.pdf;
                 http://link.springer.com/content/pdf/bfm:978-3-540-36716-1/1.pdf",
  ZMnumber =     "1101.41029",
  acknowledgement = ack-nhfb,
  book-DOI =     "https://doi.org/10.1007/b128597",
  book-URL =     "http://www.springerlink.com/content/978-3-540-36716-1",
  fjournal =     "Lecture Notes in Mathematics",
  journal-URL =  "http://link.springer.com/bookseries/304",
}

@Book{Fellmann:2007:LE,
  author =       "Emil Alfred Fellmann",
  title =        "{Leonhard Euler}",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "xv + 179",
  year =         "2007",
  DOI =          "https://doi.org/10.1007/978-3-7643-7539-3",
  ISBN =         "3-7643-7538-8, 3-7643-7539-6 (e-book)",
  ISBN-13 =      "978-3-7643-7538-6, 978-3-7643-7539-3 (e-book)",
  LCCN =         "QA29.E8 F452 2007",
  bibdate =      "Thu Jun 27 09:12:11 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/histmath.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Translated by E. Gautschi and W. Gautschi from the
                 1995 German original of the same title.",
  URL =          "http://www.loc.gov/catdir/toc/fy0709/2006937470.html",
  acknowledgement = ack-nhfb,
  subject =      "Euler, Leonhard; Mathematicians; Switzerland;
                 Biography",
  subject-dates = "1707--1783",
  xxURL =        "http://www.loc.gov/catdir/toc/fy0709/2006937470.html",
}

@Article{Gautschi:2007:CIJ,
  author =       "Walter Gautschi and Paul Leopardi",
  title =        "Conjectured inequalities for {Jacobi} polynomials and
                 their largest zeros",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "45",
  number =       "1--4",
  pages =        "217--230",
  month =        aug,
  year =         "2007",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-007-9067-5",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Fri Jan 10 10:17:18 MST 2020",
  bibsource =    "http://link.springer.com/journal/11075/45/1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "https://link.springer.com/article/10.1007/s11075-007-9067-5",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2007:GTT,
  author =       "Walter Gautschi",
  title =        "A guided tour through my bibliography",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "45",
  number =       "1--4",
  pages =        "11--35",
  month =        aug,
  year =         "2007",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-006-9051-5",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Tue Jul 8 19:14:29 MDT 2008",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=45&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=45&issue=1&spage=11",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  keywords =     "bibliography; Walter Gautschi",
}

@Article{Gautschi:2008:CIL,
  author =       "Walter Gautschi",
  title =        "On a conjectured inequality for the largest zero of
                 {Jacobi} polynomials",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "49",
  number =       "1--4",
  pages =        "195--198",
  month =        dec,
  year =         "2008",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-008-9207-6",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Mon May 17 15:07:19 MDT 2010",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=49&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=49&issue=1&spage=195",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2008:EAC,
  author =       "Walter Gautschi",
  title =        "On {Euler}'s attempt to compute logarithms by
                 interpolation: a commentary to his letter of {February
                 16, 1734} to {Daniel Bernoulli}",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "219",
  number =       "2",
  pages =        "408--415",
  day =          "1",
  month =        oct,
  year =         "2008",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 13:13:26 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S037704270600714X",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@InProceedings{Gautschi:2008:ESL,
  author =       "Walter Gautschi",
  title =        "{Euler} Special Lecture: {Leonhard Euler}: His life,
                 the man, and his works",
  crossref =     "Jeltsch:2008:ICI",
  pages =        "447--??",
  year =         "2008",
  bibdate =      "Wed Aug 26 12:03:46 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
}

@Article{Gautschi:2008:LEH,
  author =       "Walter Gautschi",
  title =        "{Leonhard Euler}: His Life, the Man, and His Works",
  journal =      j-SIAM-REVIEW,
  volume =       "50",
  number =       "1",
  pages =        "3--33",
  year =         "2008",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/070702710",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Tue Dec 2 17:02:42 MST 2008",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIREV/50/1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcw.bib",
  URL =          "http://link.aip.org/link/?SIR/50/3/1",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  keywords =     "and personality; Leonhard Euler; sketch of Euler's
                 life; works",
  xxmonth =      "????",
}

@Article{Gautschi:2008:LGW,
  author =       "Walter Gautschi and Carla Giordano",
  title =        "{Luigi Gatteschi}'s work on asymptotics of special
                 functions and their zeros",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "49",
  number =       "1--4",
  pages =        "11--31",
  month =        dec,
  year =         "2008",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-008-9208-5",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Mon May 17 14:08:26 MDT 2010",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=49&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=49&issue=1&spage=11",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2008:NEC,
  author =       "Walter Gautschi",
  title =        "The numerical evaluation of a challenging integral",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "49",
  number =       "1--4",
  pages =        "187--194",
  month =        dec,
  year =         "2008",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-008-9157-z",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Mon May 17 15:07:19 MDT 2010",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=49&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=49&issue=1&spage=187",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2009:CIZ,
  author =       "Walter Gautschi",
  title =        "On conjectured inequalities for zeros of {Jacobi}
                 polynomials",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "50",
  number =       "1",
  pages =        "93--96",
  month =        jan,
  year =         "2009",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-008-9217-4",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Mon May 17 14:08:29 MDT 2010",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=50&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=50&issue=1&spage=93",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2009:HOG,
  author =       "Walter Gautschi",
  title =        "High-order generalized {Gauss--Radau} and
                 {Gauss--Lobatto} formulae for {Jacobi} and {Laguerre}
                 weight functions",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "51",
  number =       "2",
  pages =        "143--149",
  month =        jun,
  year =         "2009",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-008-9247-y",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Mon May 17 14:08:37 MDT 2010",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=51&issue=2;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  note =         "Tributes to Gene H. Golub, Part II.",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=51&issue=2&spage=143",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2009:HSB,
  author =       "Walter Gautschi",
  title =        "How sharp is {Bernstein}'s inequality for {Jacobi}
                 polynomials?",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "36",
  pages =        "1--8",
  year =         "2009--2010",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Wed May 15 09:41:26 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/etna.bib",
  URL =          "http://etna.mcs.kent.edu/vol.36.2009-2010/pp1-8.dir/pp1-8.pdf;
                 http://etna.mcs.kent.edu/volumes/2001-2010/vol36/abstract.php?vol=36&pages=1-8",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Gautschi:2009:NCI,
  author =       "Walter Gautschi",
  title =        "New conjectured inequalities for zeros of {Jacobi}
                 polynomials",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "50",
  number =       "3",
  pages =        "293--296",
  month =        mar,
  year =         "2009",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-008-9230-7",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Mon May 17 14:08:33 MDT 2010",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=50&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  note =         "See remark \cite{Gautschi:2011:RSC}.",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=50&issue=3&spage=293",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2009:VPR,
  author =       "Walter Gautschi",
  title =        "Variable-precision recurrence coefficients for
                 nonstandard orthogonal polynomials",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "52",
  number =       "3",
  pages =        "409--418",
  month =        nov,
  year =         "2009",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-009-9283-2",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Mon May 17 14:08:45 MDT 2010",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=52&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=52&issue=3&spage=409",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Qi:2009:CLC,
  author =       "Feng Qi",
  title =        "A class of logarithmically completely monotonic
                 functions and application to the best bounds in the
                 second {Gautschi--Kershaw}'s inequality",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "224",
  number =       "2",
  pages =        "538--543",
  day =          "15",
  month =        feb,
  year =         "2009",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 13:13:29 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042708002604",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Gautschi:2010:GQR,
  author =       "Walter Gautschi",
  title =        "{Gauss} quadrature routines for two classes of
                 logarithmic weight functions",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "55",
  number =       "2--3",
  pages =        "265--277",
  month =        nov,
  year =         "2010",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-010-9366-0",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65D30 (41A10 41A55)",
  MRnumber =     "2720632",
  MRreviewer =   "Alexandru M. Bica",
  bibdate =      "Sat Oct 16 17:22:51 MDT 2010",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=55&issue=2;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=55&issue=2&spage=265",
  abstract =     "By means of the Matlab symbolic\slash
                 variable-precision facilities, routines are developed
                 that generate an arbitrary number of recurrence
                 coefficients to any given precision for polynomials
                 orthogonal with respect to weight functions of Laguerre
                 and Jacobi type containing logarithmic factors. The
                 vehicle used is a symbolic modified Chebyshev algorithm
                 based on ordinary as well as modified moments, executed
                 with sufficiently high precision. The results are
                 applied to Gaussian quadrature of integrals involving
                 weight functions of the type mentioned.",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  keywords =     "Gaussian quadrature; logarithmic weight functions;
                 modified Chebyshev algorithm - Variable-precision
                 arithmetic; orthogonal polynomials",
}

@Article{Gautschi:2010:STN,
  author =       "Walter Gautschi",
  title =        "The spiral of {Theodorus}, numerical analysis, and
                 special functions",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "235",
  number =       "4",
  pages =        "1042--1052",
  day =          "15",
  month =        dec,
  year =         "2010",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/j.cam.2009.11.054",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65D05 (01A29 33C47 65B10 65D30)",
  MRnumber =     "2727636",
  MRreviewer =   "Amparo Gil",
  bibdate =      "Sat Feb 25 13:24:31 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2010.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042709008012",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@InCollection{Gautschi:2011:EMI,
  author =       "Walter Gautschi",
  title =        "Experimental Mathematics Involving Orthogonal
                 Polynomials",
  crossref =     "Gautschi:2011:ACH",
  pages =        "117--134",
  year =         "2011",
  DOI =          "https://doi.org/10.1007/978-1-4419-6594-3_9",
  MRclass =      "33C45 (26D05 33-02 33C90 33F05 41A17 41A55 65D30)",
  MRnumber =     "2759122",
  MRreviewer =   "Jos\'{e} Luis L\'{o}pez",
  bibdate =      "Thu Jan 09 18:58:26 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  URL =          "https://link.springer.com/chapter/10.1007/978-1-4419-6594-3_9",
  acknowledgement = ack-nhfb,
}

@Article{Gautschi:2011:LWF,
  author =       "Walter Gautschi",
  title =        "The {Lambert} {$W$}-functions and some of their
                 integrals: a case study of high-precision computation",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "57",
  number =       "1",
  pages =        "27--34",
  month =        may,
  year =         "2011",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-010-9409-6",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "33F05 (33E20 65D20 65D30)",
  MRnumber =     "2786727",
  bibdate =      "Wed Apr 27 08:44:14 MDT 2011",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=57&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=57&issue=1&spage=27",
  abstract =     "The real-valued Lambert W-functions considered here
                 are $ w_0 (y) $ and $ w_{-1}(y) $, solutions of $ w e^w
                 = y $, $ - 1 / e < y < 0 $, with values respectively in
                 $ ( - 1, 0) $ and $ ( - \infty, - 1) $. A study is made
                 of the numerical evaluation to high precision of these
                 functions and of the integrals, $ \alpha > 0 $, $ \beta
                 \in \mathbb {R} $, and $ \alpha > - 1 $, $ \beta < 1 $.
                 For the latter we use known integral representations
                 and their evaluation by nonstandard Gaussian
                 quadrature, if $ \alpha \neq \beta $, and explicit
                 formulae involving the trigamma function, if $ \alpha =
                 \beta $.",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  keywords =     "Integrals of Lambert W-functions; Lambert W-functions;
                 Nonstandard Gaussian quadrature; Variable-precision
                 computation",
}

@InCollection{Gautschi:2011:MCG,
  author =       "Walter Gautschi",
  title =        "My Collaboration with {Gradimir V. Milovanovi{\'c}}",
  crossref =     "Gautschi:2011:ACH",
  pages =        "33--43",
  year =         "2011",
  DOI =          "https://doi.org/10.1007/978-1-4419-6594-3_2",
  MRclass =      "01A70",
  MRnumber =     "2759115",
  bibdate =      "Thu Jan 09 18:58:26 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
}


@Article{Gautschi:2011:OSO,
  author =       "Walter Gautschi",
  title =        "Optimally scaled and optimally conditioned
                 {Vandermonde} and {Vandermonde}-like matrices",
  journal =      j-BIT-NUM-MATH,
  volume =       "51",
  number =       "1",
  pages =        "103--125",
  month =        mar,
  year =         "2011",
  CODEN =        "BITTEL, NBITAB",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "15A12 (15B99 65F35)",
  MRnumber =     "2784655",
  MRreviewer =   "Dario Fasino",
  bibdate =      "Mon Aug 29 17:23:07 MDT 2011",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=51&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=51&issue=1&spage=103",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Gautschi:2011:RNC,
  author =       "Walter Gautschi",
  title =        "Remark on {``New conjectured inequalities for zeros of
                 Jacobi polynomials''} by {Walter Gautschi, Numer.
                 Algorithms 50:293--296 (2009)}",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "57",
  number =       "4",
  pages =        "511--511",
  month =        aug,
  year =         "2011",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-010-9442-5",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "33C45 (33F99)",
  MRnumber =     "2819459",
  bibdate =      "Fri Jul 22 09:49:03 MDT 2011",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=57&issue=4;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  note =         "See \cite{Gautschi:2009:NCI}.",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=57&issue=4&spage=511",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2012:IBA,
  author =       "W. Gautschi",
  title =        "Interpolation before and after {Lagrange}",
  journal =      "Rend. Semin. Mat. Univ. Politec. Torino",
  volume =       "70",
  number =       "4",
  pages =        "347--368",
  year =         "2012",
  ISSN =         "0373-1243",
  MRclass =      "01A50 (41A05 65-03 65D05)",
  MRnumber =     "3305552",
  bibdate =      "Fri Oct  8 10:05:20 2021",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Rendiconti del Seminario Matematico. Universit\`a e
                 Politecnico Torino",
}

@Article{Gautschi:2012:NIS,
  author =       "Walter Gautschi",
  title =        "Numerical integration over the square in the presence
                 of algebraic\slash logarithmic singularities with an
                 application to aerodynamics",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "61",
  number =       "2",
  pages =        "275--290",
  month =        oct,
  year =         "2012",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-012-9611-9",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65D30",
  MRnumber =     "2969296",
  bibdate =      "Wed Mar 6 09:10:29 MST 2013",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=61&issue=2;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  note =         "See erratum \cite{Gautschi:2013:ENI}.",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=61&issue=2&spage=275",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2012:SRJ,
  author =       "Walter Gautschi",
  title =        "Sub-range {Jacobi} polynomials",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "61",
  number =       "4",
  pages =        "649--657",
  month =        dec,
  year =         "2012",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-012-9556-z",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "33C47 (65D20 65D30)",
  MRnumber =     "2995225",
  bibdate =      "Wed Mar 6 09:10:52 MST 2013",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=61&issue=4;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  note =         "See erratum \cite{Gautschi:2017:ESR}.",
  URL =          "http://link.springer.com/article/10.1007/s11075-012-9556-z/;
                 http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=61&issue=4&spage=649-657",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2013:ENI,
  author =       "Walter Gautschi",
  title =        "Erratum to: {Numerical integration over the square in
                 the presence of algebraic\slash logarithmic
                 singularities with an application to aerodynamics}",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "64",
  number =       "4",
  pages =        "759--759",
  month =        dec,
  year =         "2013",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-013-9787-7",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Fri Feb 7 05:40:26 MST 2014",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=64&issue=4;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  note =         "See \cite{Gautschi:2012:NIS}.",
  URL =          "http://link.springer.com/article/10.1007/s11075-013-9787-7;
                 http://link.springer.com/content/pdf/10.1007/s11075-013-9787-7.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2013:NNS,
  author =       "Walter Gautschi",
  title =        "Neutralizing nearby singularities in numerical
                 quadrature",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "64",
  number =       "3",
  pages =        "417--425",
  month =        nov,
  year =         "2013",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-012-9672-9",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65D30",
  MRnumber =     "3119999",
  MRreviewer =   "Maria Carmela De Bonis",
  bibdate =      "Mon Dec 2 18:18:12 MST 2013",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=64&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "http://link.springer.com/article/10.1007/s11075-012-9672-9",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2013:RMO,
  author =       "Walter Gautschi",
  title =        "Repeated modifications of orthogonal polynomials by
                 linear divisors",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "63",
  number =       "2",
  pages =        "369--383",
  month =        jun,
  year =         "2013",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-012-9627-1",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "42C05 (33C47 65D30 65D32)",
  MRnumber =     "3057205",
  MRreviewer =   "Ulrich D. Jentschura",
  bibdate =      "Mon Jun 24 10:55:12 MDT 2013",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=63&issue=2;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "http://link.springer.com/article/10.1007/s11075-012-9627-1",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2014:HPG,
  author =       "Walter Gautschi",
  title =        "High-precision {Gauss--Tur{\'a}n} quadrature rules for
                 {Laguerre} and {Hermite} weight functions",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "67",
  number =       "1",
  pages =        "59--72",
  month =        sep,
  year =         "2014",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-013-9774-z",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65D30",
  MRnumber =     "3252837",
  MRreviewer =   "Gheorghe Coman",
  bibdate =      "Wed Feb 11 21:57:10 MST 2015",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=67&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "http://link.springer.com/article/10.1007/s11075-013-9774-z",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Lun:2014:IZJ,
  author =       "Yen Chi Lun and Fernando Rodrigo Rafaeli",
  title =        "Inequalities for zeros of {Jacobi} polynomials via
                 {Sturm}'s theorem: {Gautschi}'s conjectures",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "67",
  number =       "3",
  pages =        "549--563",
  month =        nov,
  year =         "2014",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-013-9807-7",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Wed Feb 11 21:57:10 MST 2015",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=67&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "http://link.springer.com/article/10.1007/s11075-013-9807-7",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2015:POR,
  author =       "Walter Gautschi",
  title =        "Polynomials orthogonal with respect to exponential
                 integrals",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "70",
  number =       "1",
  pages =        "215--226",
  month =        sep,
  year =         "2015",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-014-9943-8",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "33C47 (65D30)",
  MRnumber =     "3391167",
  bibdate =      "Tue Sep 29 11:17:09 MDT 2015",
  bibsource =    "http://link.springer.com/journal/11075/70/1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "http://link.springer.com/article/10.1007/s11075-014-9943-8",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  keywords =     "$E_\nu$ (exponential integral of arbitrary positive
                 order); Chebyshev algorithm; Matlab; orthogonal
                 polynomials; quadrature rules",
}

@Article{Gautschi:2016:AER,
  author =       "Walter Gautschi",
  title =        "Algorithm 957: Evaluation of the Repeated Integral of
                 the Coerror Function by Half-Range {Gauss--Hermite}
                 Quadrature",
  journal =      j-TOMS,
  volume =       "42",
  number =       "1",
  pages =        "9:1--9:10",
  month =        feb,
  year =         "2016",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/2735626",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65D20 (65D30)",
  MRnumber =     "3472425",
  bibdate =      "Tue Mar 1 17:07:56 MST 2016",
  bibsource =    "http://www.acm.org/pubs/contents/journals/toms/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  abstract =     "Nonstandard Gaussian quadrature is applied to evaluate
                 the repeated integral $ i^n \erfc x $ of the coerror
                 function for $ n \in N_0 $, $ x \in R $ in an
                 appropriate domain of the $ (n, x)$-plane. Relevant
                 software in MATLAB is provided: in particular, two
                 routines evaluating the function to an accuracy of 12
                 respective 30-decimal digits.",
  acknowledgement = ack-nhfb,
  articleno =    "9",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@Book{Gautschi:2016:OPM,
  author =       "Walter Gautschi",
  title =        "Orthogonal polynomials in {MATLAB}: exercises and
                 solutions",
  volume =       "26",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "ix + 335",
  year =         "2016",
  ISBN =         "1-61197-429-1 (paperback), 1-61197-430-5",
  ISBN-13 =      "978-1-61197-429-4 (paperback), 978-1-61197-430-0",
  LCCN =         "QA404.5 .G3564 2016",
  MRclass =      "33-01 (33-04 33C45 65D20 68W30)",
  MRnumber =     "3509205",
  bibdate =      "Thu Jan 9 19:03:59 MST 2020",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Software, environments, and tools",
  abstract =     "Techniques for generating orthogonal polynomials
                 numerically have appeared only recently, within the
                 last 30 or so years. \booktitle{Orthogonal Polynomials
                 in MATLAB: Exercises and Solutions} describes these
                 techniques and related applications, all supported by
                 MATLAB programs, and presents them in a unique format
                 of exercises and solutions designed by the author to
                 stimulate participation. Important computational
                 problems in the physical sciences are included as
                 models for readers to solve their own problems.",
  acknowledgement = ack-nhfb,
  subject =      "MATLAB; MATLAB; Orthogonal polynomials; Problems,
                 exercises, etc; Data processing; Orthogonal
                 polynomials; Algorithmus; Orthogonale Polynome;
                 Approximation; MATLAB",
  tableofcontents = "Preface \\
                 1. A guide to the software packages OPQ and SOPQ \\
                 2. Answers to exercises on orthogonal polynomials \\
                 3. Answers to exercises on Sobolev orthogonal
                 polynomials \\
                 4. Answers to exercises on quadrature \\
                 5. Answers to exercises on approximation \\
                 A. The software package OPQ (Orthogonal Polynomials and
                 Quadrature) \\
                 B The software package SOPQ (Symbolic Orthogonal
                 Polynomials and Quadrature)",
}

@Article{Gautschi:2017:ESR,
  author =       "Walter Gautschi",
  title =        "Erratum to: {Sub-range Jacobi polynomials}",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "74",
  number =       "2",
  pages =        "637--637",
  month =        feb,
  year =         "2017",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-016-0257-x",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "33C47 (65D20 65D30)",
  MRnumber =     "3599668",
  bibdate =      "Wed Mar 1 09:12:14 MST 2017",
  bibsource =    "http://link.springer.com/journal/11075/74/2;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  note =         "See \cite{Gautschi:2012:SRJ}.",
  URL =          "http://link.springer.com/content/pdf/10.1007/s11075-016-0257-x.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2017:MPZ,
  author =       "Walter Gautschi",
  title =        "Monotonicity properties of the zeros of {Freud} and
                 sub-range {Freud} polynomials: Analytic and empirical
                 results",
  journal =      j-MATH-COMPUT,
  volume =       "86",
  number =       "304",
  pages =        "855--864",
  month =        "",
  year =         "2017",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.1090/mcom/3181",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33C47 (33F05)",
  MRnumber =     "3584551",
  MRreviewer =   "Anbhu Swaminathan",
  bibdate =      "Sat Feb 18 08:32:49 MST 2017",
  bibsource =    "http://www.ams.org/mcom/2017-86-304;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib",
  URL =          "http://www.ams.org/journals/mcom/2017-86-304/S0025-5718-2016-03181-6;
                 http://www.ams.org/journals/mcom/2017-86-304/S0025-5718-2016-03181-6/S0025-5718-2016-03181-6.pdf;
                 http://www.ams.org/mathscinet/search/author.html?mrauthid=71975",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Gautschi:2017:POR,
  author =       "Walter Gautschi",
  title =        "Polynomials orthogonal with respect to cardinal
                 {B}-spline weight functions",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "76",
  number =       "4",
  pages =        "1099--1107",
  month =        dec,
  year =         "2017",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-017-0298-9",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65D07 (42C05)",
  MRnumber =     "3736229",
  MRreviewer =   "M. A. Fortes",
  bibdate =      "Mon Nov 27 06:28:22 MST 2017",
  bibsource =    "http://link.springer.com/journal/11075/76/4;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2018:BTP,
  author =       "Walter Gautschi and Gradimir V. Milovanovi{\'c}",
  title =        "{Binet}-type polynomials and their zeros",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "50",
  pages =        "52--70",
  year =         "2018",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1553/etna\_vol50s52",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  MRclass =      "33C47 (65D20)",
  MRnumber =     "3882260",
  MRreviewer =   "Iv\'{a}n Area",
  bibdate =      "Mon Mar 18 13:30:42 MDT 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/etna.bib",
  URL =          "http://etna.mcs.kent.edu/vol.50.2018/pp52-70.dir/pp52-70.pdf;
                 http://etna.mcs.kent.edu/volumes/2011-2020/vol50/abstract.php?vol=50&pages=52-70",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@InCollection{Gautschi:2018:DTM,
  author =       "Walter Gautschi",
  booktitle =    "Frontiers in orthogonal polynomials and $q$-series",
  title =        "A discrete top-down {Markov} problem in approximation
                 theory",
  volume =       "1",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "267--289",
  year =         "2018",
  MRclass =      "41A17 (26D05 41A10 65K05)",
  MRnumber =     "3791624",
  MRreviewer =   "Yamilet Quintana",
  bibdate =      "Fri Oct  8 10:10:30 2021",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  series =       "Contemp. Math. Appl. Monogr. Expo. Lect. Notes",
  acknowledgement = ack-nhfb,
}

@InCollection{Gautschi:2018:ILA,
  author =       "Walter Gautschi",
  booktitle =    "Frontiers in orthogonal polynomials and $q$-series",
  title =        "On the {Ismail--Letessier--Askey} monotonicity
                 conjecture for zeros of ultraspherical polynomials",
  volume =       "1",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "251--266",
  year =         "2018",
  MRclass =      "33C45 (65D20)",
  MRnumber =     "3791623",
  bibdate =      "Fri Oct  8 10:11:19 2021",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  series =       "Contemp. Math. Appl. Monogr. Expo. Lect. Notes",
  acknowledgement = ack-nhfb,
}

@Article{Gautschi:2018:PAS,
  author =       "Walter Gautschi",
  title =        "Progress by accident: some reflections on my career",
  journal =      j-SIAM-NEWS,
  volume =       "51",
  number =       "10",
  pages =        "7--8",
  year =         "2018",
  ISSN =         "1557-9573",
  MRclass =      "41-03 (33-03 65-03)",
  MRnumber =     "3929650",
  bibdate =      "Fri Oct  8 10:11:54 2021",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM News",
  journal-URL =  "http://www.siam.org/news/",
}

@Book{Gautschi:2018:SRO,
  author =       "Walter Gautschi",
  title =        "A software repository for orthogonal polynomials",
  volume =       "28",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "viii + 60",
  year =         "2018",
  DOI =          "https://doi.org/10.1137/1.9781611975222",
  ISBN =         "1-61197-522-0",
  ISBN-13 =      "978-1-61197-522-2",
  LCCN =         "QA404.5 .G3567 2018",
  MRclass =      "33-04 (33C45 33F05 42C05 65D20)",
  MRnumber =     "3810767",
  bibdate =      "Fri Oct 8 10:13:35 2021",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  series =       "Software, Environments, and Tools",
  abstract =     "Classical and quasi-classical weight functions ---
                 Nonclassical weight functions. This book provides
                 access to mathematical objects that are of interest in
                 all the sciences and engineering. It provides data
                 object identification numbers where the relevant
                 information (Matlab pieces of software and numerical
                 tables) can be found.",
  acknowledgement = ack-nhfb,
  subject =      "Orthogonal polynomials; Computer programs;
                 Directories; Engineering mathematics; Digital
                 libraries; Digital Object Identifiers; Polyn{\^o}mes
                 orthogonaux; Logiciels; R{\'e}pertoires;
                 Math{\'e}matiques de l'ing{\'e}nieur; Biblioth{\`e}ques
                 virtuelles; Identificateurs d'objets num{\'e}riques;
                 Digital libraries.; Digital Object Identifiers.;
                 Computer programs.",
  tableofcontents = "Classical and quasi-classical weight functions \\
                 Nonclassical weight functions",
}

@Article{Gautschi:2018:ZSJ,
  author =       "Walter Gautschi",
  title =        "On the zeros of subrange {Jacobi} polynomials",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "79",
  number =       "3",
  pages =        "759--768",
  month =        nov,
  year =         "2018",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-017-0459-x",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "33C47 (65D20)",
  MRnumber =     "3869504",
  MRreviewer =   "Lalit Mohan Upadhyaya",
  bibdate =      "Tue Oct 30 08:59:49 MDT 2018",
  bibsource =    "http://link.springer.com/journal/11075/79/3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  note =         "See correction \cite{Gautschi:2019:CSR}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Pozza:2018:LAC,
  author =       "Stefano Pozza and Miroslav S. Prani{\'c} and
                 Zden{\v{e}}k Strako{\v{s}}",
  title =        "The {Lanczos} algorithm and complex {Gauss}
                 quadrature",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "50",
  pages =        "1--19",
  year =         "2018",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Wed Nov 7 07:27:24 MST 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/etna.bib",
  URL =          "http://etna.mcs.kent.edu/vol.50.2018/pp1-19.dir/pp1-19.pdf;
                 http://etna.mcs.kent.edu/volumes/2011-2020/vol50/abstract.php?vol=50&pages=1-19",
  abstract =     "Gauss quadrature can be naturally generalized in order
                 to approximate quasi-definite linear functionals, where
                 the interconnections with (formal) orthogonal
                 polynomials, (complex) Jacobi matrices, and the Lanczos
                 algorithm are analogous to those in the positive
                 definite case. In this survey we review these
                 relationships with giving references to the literature
                 that presents them in several related contexts. In
                 particular, the existence of the $n$-weight (complex)
                 Gauss quadrature corresponds to successfully performing
                 the first $n$ steps of the Lanczos algorithm for
                 generating biorthogonal bases of the two associated
                 Krylov subspaces. The Jordan decomposition of the
                 (complex) Jacobi matrix can be explicitly expressed in
                 terms of the Gauss quadrature nodes and weights and the
                 associated orthogonal polynomials. Since the output of
                 the Lanczos algorithm can be made real whenever the
                 input is real, the value of the Gauss quadrature is a
                 real number whenever all relevant moments of the
                 quasi-definite linear functional are real.",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://etna.mcs.kent.edu/",
  remark =       "Special volume dedicated to Walter Gautschi on the
                 occasion of his 90th birthday.",
}

@Article{Gautschi:2019:CSR,
  author =       "Walter Gautschi",
  title =        "Correction to: {Sub-range Jacobi polynomials}",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "81",
  number =       "2",
  pages =        "771--771",
  month =        jun,
  year =         "2019",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-019-00715-9",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "33C47 (65D20 65D30)",
  MRnumber =     "3953169",
  bibdate =      "Mon May 27 06:26:06 MDT 2019",
  bibsource =    "http://link.springer.com/journal/11075/81/2;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  note =         "See \cite{Gautschi:2018:ZSJ}.",
  URL =          "http://link.springer.com/content/pdf/10.1007/s11075-019-00715-9.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2019:CST,
  author =       "Walter Gautschi and Ernst Hairer",
  title =        "On conjectures of {Stenger} in the theory of
                 orthogonal polynomials",
  journal =      j-J-INEQUAL-APPL,
  pages =        "27",
  year =         "2019",
  DOI =          "https://doi.org/10.1186/s13660-019-2107-6",
  ISSN =         "1025-5834",
  ISSN-L =       "1025-5834",
  MRclass =      "33C45",
  MRnumber =     "3959312",
  MRreviewer =   "Alexander V. Dyachenko",
  bibdate =      "Thu Oct 3 05:45:54 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib",
  note =         "Paper no. 159.",
  URL =          "https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-019-2107-6",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Inequalities and Applications",
  journal-URL =  "http://journalofinequalitiesandapplications.springeropen.com/",
}

@Article{Gautschi:2021:OPR,
  author =       "Walter Gautschi and Gradimir V. Milovanovi{\'c}",
  title =        "Orthogonal polynomials relative to a generalized
                 {Marchenko--Pastur} probability measure",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "88",
  number =       "3",
  pages =        "1233--1249",
  month =        nov,
  year =         "2021",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-021-01073-1",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Fri Oct 8 09:51:49 MDT 2021",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "http://link.springer.com/article/10.1007/s11075-021-01073-1",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Book{Gautschi:2021:SRG,
  author =       "Walter Gautschi",
  title =        "A software repository for {Gaussian} quadratures and
                 {Christoffel} functions",
  volume =       "32",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  tableofcontents = "Classical and quasi-classical weight functions
                 \\
                 Nonclassical weight functions",
  subject =      "Gaussian quadrature formulas; Computer programs;
                 Directories; Christoffel--Darboux formula; Digital
                 libraries; Digital libraries",
  abstract =     "This companion piece to A Software Repository for
                 Orthogonal Polynomials (2018) focuses on Gaussian
                 quadrature and the related Christoffel function.",
  pages =        "xvii + 134",
  year =         "2021",
  LCCN =         "QA299.4.G3 G38 2021",
  ISBN =         "1-61197-634-0 (paperback), 1-61197-635-9 (e-book)",
  ISBN-13 =      "978-1-61197-634-2 (paperback), 978-1-61197-635-9
                 (e-book)",
  MRclass =      "65-02 (41-02 41A55 65D30)",
  MRnumber =     "4191207",
  bibdate =      "Fri Oct  8 10:16:44 2021",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  series =       "Software, Environments, and Tools",
  acknowledgement = ack-nhfb,
}

@Article{Gautschi:2022:ALP,
  author =       "Walter Gautschi",
  title =        "Another look at polynomials orthogonal relative to
                 exponential integral weight functions",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "91",
  number =       "4",
  pages =        "1547--1557",
  month =        dec,
  year =         "2022",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-022-01313-y",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Wed Nov 16 09:03:39 MST 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "https://link.springer.com/article/10.1007/s11075-022-01313-y",
  acknowledgement = ack-nhfb,
  ajournal =     "Numer. Algorithms",
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Gautschi:2022:OPR,
  author =       "Walter Gautschi and Gradimir V. Milovanovi{\'c}",
  title =        "Orthogonal polynomials relative to weight functions of
                 {Prudnikov} type",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "90",
  number =       "1",
  pages =        "263--270",
  month =        may,
  year =         "2022",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-021-01187-6",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Tue Apr 19 12:23:14 MDT 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "https://link.springer.com/article/10.1007/s11075-021-01187-6",
  acknowledgement = ack-nhfb,
  ajournal =     "Numer. Algorithms",
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

%%% ====================================================================
%%%           Part 2: Publications about Walter Gautschi
%%%
%%% Bibliography entries, sorted in approximate publication order with
%%% ``bibsort --byyear'':
@Article{Kershaw:1983:SEW,
  author =       "D. Kershaw",
  title =        "Some extensions of {W. Gautschi}'s inequalities for
                 the gamma function",
  journal =      j-MATH-COMPUT,
  volume =       "41",
  number =       "164",
  pages =        "607--611",
  month =        oct,
  year =         "1983",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33A15 (26D20 65D20)",
  MRnumber =     "84m:33003",
  MRreviewer =   "P. Anandani",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR
                 database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{I:1991:BRH,
  author =       "E. I.",
  title =        "Book Review: {Heinz Rutishauser, \booktitle{Lectures
                 on Numerical Mathematics} (translated from the German
                 by Walter Gautschi), Birkhauser, Boston, 1990, xv + 546
                 pp., 23.5 cm. Price \$49}",
  journal =      j-MATH-COMPUT,
  volume =       "57",
  number =       "196",
  pages =        "869--870",
  month =        oct,
  year =         "1991",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Wed Aug 26 06:50:13 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib",
  URL =          "https://www.jstor.org/stable/2938724",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  xxauthor =     "Eugene Isaacson",
}

@InCollection{Rice:1994:FBW,
  author =       "John R. Rice",
  title =        "Foreword [on the 65th birthday of {Walter Gautschi}]",
  crossref =     "Zahar:1994:ACF",
  pages =        "ix--x",
  year =         "1994",
  MRclass =      "01A70",
  MRnumber =     "MR1333603 (96c:01042a)",
  bibdate =      "Sat Dec 29 12:36:18 2007",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Zahar:1994:IBW,
  author =       "R. V. M. Zahar",
  title =        "Introduction [on the 65th birthday of {Walter
                 Gautschi}]",
  crossref =     "Zahar:1994:ACF",
  volume =       "119",
  pages =        "xi--xvi",
  year =         "1994",
  MRclass =      "01A70",
  MRnumber =     "1333604",
  bibdate =      "Fri Oct 8 10:25:46 2021",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  series =       "Internat. Ser. Numer. Math.",
  acknowledgement = ack-nhfb,
}

@Article{Giordano:1998:UTG,
  author =       "C. Giordano and A. Laforgia and J. Pecari{\'c}",
  title =        "Unified treatment of {Gautschi--Kershaw} type
                 inequalities for the gamma function",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "99",
  number =       "1--2",
  pages =        "167--175",
  day =          "16",
  month =        nov,
  year =         "1998",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:36:13 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S037704279800154X",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Hochbruck:1999:GTM,
  author =       "Marlis Hochbruck and Christian Lubich",
  title =        "A {Gautschi}-type method for oscillatory second-order
                 differential equations",
  journal =      j-NUM-MATH,
  volume =       "83",
  number =       "3",
  pages =        "403--426",
  month =        sep,
  year =         "1999",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Mon Oct 18 10:45:18 MDT 1999",
  bibsource =    "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083003.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  URL =          "http://link.springer-ny.com/link/service/journals/00211/bibs/9083003/90830403.htm;
                 http://link.springer-ny.com/link/service/journals/00211/papers/9083003/90830403.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@InCollection{Boisvert:2001:HMF,
  author =       "Ronald F. Boisvert and Daniel W. Lozier",
  title =        "{{\booktitle{Handbook of Mathematical Functions}}}",
  crossref =     "Lide:2001:CEM",
  pages =        "135--139",
  year =         "2001",
  bibdate =      "Mon Nov 06 07:39:27 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
  URL =          "https://nvlpubs.nist.gov/nistpubs/sp958-lide/135-139.pdf;
                 https://nvlpubs.nist.gov/nistpubs/sp958-lide/html/135-139.html",
  acknowledgement = ack-nhfb,
  keywords =     "Abramowitz, M.; Antosiewicz, H. A.; Blanch, G.;
                 Cahill, W. F.; Curtiss, J. H.; Davis, P. J.;
                 Erd{\'e}lyi, A.; Gautschi, W.; Goldberg, K.; Gray, M.
                 C.; Hamming, R. W.; Haynsworth, E. V.; Hochstrasser, U.
                 W.; Lehmer, D. H.; Liepman, D. S.; Lowan, A. N.; Luke,
                 Y. L.; McNish, A. G.; Metropolis, N. C.; Miller, J. C.
                 P.; Morse, P. M.; Newman, M.; Oberhettinger, F.; Olver,
                 F. W. J.; Peavy, S.; Polonsky, I.; Rosser, J. B.;
                 Schopf, A.; Severo, N. C.; Slater, L. J.; Southard, T.
                 H.; Stegun, I. A.; Thacher, Jr., H. C.; Thomson, L. M.
                 Milne; Todd, John; Tompkins, C. B.; Tukey, J. W.;
                 Zelen, M.; Zucker. R.",
  remark =       "This paper provides a history of the development and
                 production of the 1964 \booktitle{Handbook of
                 Mathematical Functions}.",
  subject-dates = "Frank William John Olver (15 December 1924--23 April
                 2013)",
}

@Article{Alzer:2003:GHM,
  author =       "Horst Alzer",
  title =        "On {Gautschi}'s harmonic mean inequality for the gamma
                 function",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "157",
  number =       "1",
  pages =        "243--249",
  day =          "1",
  month =        aug,
  year =         "2003",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:52:37 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042703004564",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Grimm:2005:EBG,
  author =       "Volker Grimm",
  title =        "On error bounds for the {Gautschi}-type exponential
                 integrator applied to oscillatory second-order
                 differential equations",
  journal =      j-NUM-MATH,
  volume =       "100",
  number =       "1",
  pages =        "71--89",
  month =        mar,
  year =         "2005",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/s00211-005-0583-8",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  bibdate =      "Sat May 14 10:26:41 MDT 2005",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0029-599X;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Grimm:2005:NGT,
  author =       "Volker Grimm",
  title =        "A note on the {Gautschi}-type method for oscillatory
                 second-order differential equations",
  journal =      j-NUM-MATH,
  volume =       "102",
  number =       "1",
  pages =        "61--66",
  month =        nov,
  year =         "2005",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/s00211-005-0639-9",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  bibdate =      "Sat Nov 26 18:13:08 MST 2005",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=102&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=102&issue=1&spage=61",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Botchev:2006:GTS,
  author =       "M. A. Botchev and D. Harutyunyan and J. J. W. van der
                 Vegt",
  title =        "The {Gautschi} time stepping scheme for edge finite
                 element discretizations of the {Maxwell} equations",
  journal =      j-J-COMPUT-PHYS,
  volume =       "216",
  number =       "2",
  pages =        "654--686",
  day =          "10",
  month =        aug,
  year =         "2006",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/j.jcp.2006.01.014",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 22:13:22 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999106000052",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{Segura:2006:ROP,
  author =       "Javier Segura",
  title =        "Review of {{\booktitle{Orthogonal Polynomials:
                 Computation and Approximation}} by Walter Gautschi}",
  journal =      j-SIAM-REVIEW,
  volume =       "48",
  number =       "2",
  pages =        "431--433",
  month =        jun,
  year =         "2006",
  CODEN =        "SIREAD",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Thu Jan 09 19:25:51 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "https://www.jstor.org/stable/20453824",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
}

@Article{Koumandos:2007:CIG,
  author =       "Stamatis Koumandos",
  title =        "On a conjectured inequality of {Gautschi} and
                 {Leopardi} for {Jacobi} polynomials",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "44",
  number =       "3",
  pages =        "249--253",
  month =        mar,
  year =         "2007",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-007-9098-y",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "subject classification (2000); Primary 26D05;
                 Secondary 33B10; 33C45; 42A05",
  bibdate =      "Tue Jul 8 19:14:29 MDT 2008",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=44&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=44&issue=3&spage=249",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  keywords =     "Inequalities; Jacobi polynomials; Trigonometric
                 functions",
}

@Article{Qi:2008:WGI,
  author =       "Feng Qi and Bai-Ni Guo",
  title =        "{Wendel}'s and {Gautschi}'s inequalities:
                 {Refinements}, extensions, and a class of
                 logarithmically completely monotonic functions",
  journal =      j-APPL-MATH-COMP,
  volume =       "205",
  number =       "1",
  pages =        "281--290",
  day =          "1",
  month =        nov,
  year =         "2008",
  CODEN =        "AMHCBQ",
  DOI =          "https://doi.org/10.1016/j.amc.2008.07.005",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  bibdate =      "Fri Sep 3 10:53:23 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0096300308005377",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003/",
}

@Article{Joulak:2009:GCG,
  author =       "H{\'e}di Joulak and Bernhard Beckermann",
  title =        "On {Gautschi}'s conjecture for generalized
                 {Gauss--Radau} and {Gauss--Lobatto} formulae",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "233",
  number =       "3",
  pages =        "768--774",
  day =          "1",
  month =        dec,
  year =         "2009",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 13:24:19 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042709001241",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Kunisch:2015:GTS,
  author =       "Karl Kunisch and Stefan H. Reiterer",
  title =        "A {Gautschi} time-stepping approach to optimal control
                 of the wave equation",
  journal =      j-APPL-NUM-MATH,
  volume =       "90",
  number =       "??",
  pages =        "55--76",
  month =        apr,
  year =         "2015",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  bibdate =      "Tue Feb 10 17:20:06 MST 2015",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0168927414001937",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274/",
}

@Misc{Townsend:2016:ROP,
  author =       "Alex Townsend",
  title =        "A review of {{\booktitle{Orthogonal Polynomials in
                 MATLAB: Exercises and Solutions}} by Gautschi}",
  howpublished = "Web document.",
  pages =        "2",
  day =          "5",
  month =        nov,
  year =         "2016",
  bibdate =      "Thu Jan 09 19:29:26 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/matlab.bib",
  URL =          "http://pi.math.cornell.edu/~ajt/papers/Gautschi.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Xu:2016:EEE,
  author =       "Zhiguo Xu and Xuanchun Dong and Yongjun Yuan",
  title =        "Error estimates in the energy space for a
                 {Gautschi}-type integrator spectral discretization for
                 the coupled nonlinear {Klein--Gordon} equations",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "292",
  number =       "??",
  pages =        "402--416",
  day =          "15",
  month =        jan,
  year =         "2016",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 13:34:53 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2015.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042715003799",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Shi:2019:EGT,
  author =       "Wei Shi and Xinyuan Wu",
  title =        "Explicit {Gautschi}-type integrators for nonlinear
                 multi-frequency oscillatory second-order initial value
                 problems",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "81",
  number =       "4",
  pages =        "1275--1294",
  month =        aug,
  year =         "2019",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-018-0635-7",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Sat Aug 3 16:13:17 MDT 2019",
  bibsource =    "http://link.springer.com/journal/11075/81/4;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

%%% ====================================================================
%%% Conference proceedings and cross referenced publications must come
%%% last.   They are sorted by year and then by citation label with
%%% ``bibsort --byyear'':
@Proceedings{Wong:1990:ACA,
  editor =       "R. (Roderick) Wong",
  booktitle =    "Asymptotic and Computational Analysis: Conference in
                 Honor of {Frank W. J. Olver}'s 65th Birthday",
  title =        "Asymptotic and Computational Analysis: Conference in
                 Honor of {Frank W. J. Olver}'s 65th Birthday",
  volume =       "124",
  publisher =    pub-MARCEL-DEKKER,
  address =      pub-MARCEL-DEKKER:adr,
  pages =        "xii + 755",
  year =         "1990",
  ISBN =         "0-8247-8347-6",
  ISBN-13 =      "978-0-8247-8347-1",
  LCCN =         "QA299.6 .A88 1990",
  bibdate =      "Wed May 9 09:22:13 MDT 2007",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Lecture Notes in Pure and Applied Mathematics",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0647/90002810-d.html",
  abstract =     "Papers presented at the International Symposium on
                 Asymptotic and Computational Analysis, held June 1989,
                 Winnipeg, Manitoba, sponsored by the Department of
                 Applied Mathematics, University of Manitoba and the
                 Canadian Applied Mathematics Society.",
  acknowledgement = ack-nhfb,
  author-dates = "Frank William John Olver (15 December 1924--23 April
                 2013)",
  subject =      "Numerical analysis; Congresses; Asymptotic expansions;
                 Olver, Frank W. J.",
  subject-dates = "Frank William John Olver (15 December 1924--23 April
                 2013)",
  tableofcontents = "Preface / ii \\
                 Contributors / ix \\
                 \\
                 Invited Papers \\
                 \\
                 Graphs as an Aid to Understanding Special Functions /
                 R. A. Askey / 3 \\
                 Asymptotics of Integrals, Series, and Operators / L.
                 Berg / 35 \\
                 Asymptotic Expansions for the Coefficient Functions
                 Associated with Linear Second-Order Differential
                 Equations: The Simple Pole Case / W. G. C. Boyd / 53
                 \\
                 Landen Transformations of Integrals / B. C. Carlson /
                 75 \\
                 Accelerating the Convergence of Chebyshev Series / L.
                 M. Ciasullo and J. A. Cochran / 95 \\
                 Practical Methods for the Uniform Asymptotic Evaluation
                 of Oscillating Integrals with Several Coalescing Saddle
                 Points / J. N. L. Connor / 137 \\
                 New Inequalities for the Zeros of Confluent
                 Hypergeometric Functions / Luigi Gatteschi / 175 \\
                 How (Un)stable Are Vandermonde Systems? / Walter
                 Gautschi / 193 \\
                 Singular Point and Exponential Asymptotics / Floyd B.
                 Hanson / 211 \\
                 Uniform Asymptotic Remainders / D. S. Jones / 241 \\
                 Period Tripling and Subharmonic Oscillations in
                 Marangoni Flows in a Cylindrical Liquid Bridge /
                 Nicholas D. Kazarinoff and Joseph S. Wilkowski / 265
                 \\
                 Positive Solutions for Degenerate and Nondegenerate
                 Elliptic Systems: Existence and Numerical
                 Approximations / Anthony W. Leung and Guangwei Fan /
                 285 \\
                 Observable Tunneling in Several Dimensions / R. E.
                 Meyer / 299 \\
                 On Stokes Phenomenon and Converging Factors / Frank W.
                 J. Olver / 329 \\
                 Singularly Perturbed Boundary Value Problems Viewed in
                 the Li{\'e}nard Plane / J. D. Allen and R. E. O'Malley,
                 Jr. / 357 \\
                 On the Asymptotic Theory of the Orr--Sommerfeld / W. H.
                 Reid / Problem \\
                 Gevrey Property of Formal Solutions in a Parameter /
                 Yasutaka Sibuya / 393 \\
                 A Riccati Approach to the Airy Equation / Donald R.
                 Smith / 403 \\
                 A System of Polynomials Associated with the Chester,
                 Friedman, and Ursell Technique / K. Soni and R. P. Soni
                 / 417 \\
                 Rational Approximation of the Step, Filter, and Impulse
                 Functions / Yasuhiko Ikebe, Marek Kowalski, and Frank
                 Stenger 455 / 441 \\
                 Polynomial Asymptotic Estimates of Gegenbauer,
                 Laguerre, and Jacobi Polynomials / Nico M. Temme / 455
                 \\
                 Integrals with a Large Parameter and the
                 Maximum-Modulus Principle / F. Ursell / 477 \\
                 Finite Axial Extension and Torsion of Elastic
                 Helicoidal Shells / Frederic Y. M. Wan / 491 \\
                 Some Properties of Convolution Sequences and
                 Asymptotics for the Taylor Coefficients for Products of
                 Bessel Functions / Jet Wimp / 517 \\
                 A Generalization of Olver's Algorithm for Linear
                 Difference Systems / R. V. M. Zahar / 535 \\
                 \\
                 Contributed Papers \\
                 \\
                 Continental Shelf Wave Scattering: Partial Removal of
                 the Rigid Lid / Anthony M. J. Davis / 555 \\
                 Some Aspects of Invariant Subspaces Computation / Luca
                 Dieci and Robert D. Russell / 565 \\
                 Error Bounds via Complete Monotonicity for a Uniform
                 Asymptotic Expansion of the Legendre Function
                 $P_m^{-m}(\cosh z)$ / C. L. Frenzen / 587 \\
                 Computational Asymptotics of Fourth-Order Operators /
                 P. A. Carinhas and S. A. Fulling / 601 \\
                 Universal Asymptotic Distribution Functions mod 1 /
                 William M. Y. Goh and Eric Schmutz / 619 \\
                 On the $n$-Variable Saddle Point and Steepest Descent
                 Methods / D. Kaminski / 627 \\
                 Applications of the Method of Steepest Descents in
                 Wave-Propagation Problems / Francesco Mainardi and
                 Giuliano Vitali / 639 \\
                 The Asymptotics of Pearcey's Integral for Complex
                 Variables / R. B. Paris / 653 \\
                 Asymptotic Methods in Magnetoconvection / N. Rudraiah,
                 O. P. Chandna, and R. M. Barron / 669 \\
                 The Interior Layer Structure for a Linear Parabolic
                 Problem with Discontinuous Data / Shagi-Di Shih / 685
                 \\
                 Asymptotic Expansions of Solutions to $\Delta u - u =
                 f$ at Infinity / D. Siegel / 697 \\
                 Approximating Zeros of Solutions of Second-Order Linear
                 ODEs by ``Phase Function'' Methods / R. Spigler and M.
                 Vianello / 707 \\
                 Asymptotic Expansions of Integrals of Two Bessel
                 Functions / B. J. Stovanov, R. A. Farrell, and J. F.
                 Bird / 723 \\
                 On Eigenvalues with Exponentially Small Imaginary Part
                 / A. D. Wood and R. B. Paris / 741 \\
                 Index / 751",
}

@InCollection{Zahar:1994:PWG,
  author =       "R. V. M. (Ramsay Vincent Michael) Zahar",
  title =        "Publications of {Walter Gautschi}",
  crossref =     "Zahar:1994:ACF",
  pages =        "xxxvi--xlvi",
  year =         "1994",
  MRclass =      "01A70",
  MRnumber =     "1333606",
  bibdate =      "Fri Oct 08 10:23:15 2021",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
}

@Book{Abramowitz:1964:HMF,
  editor =       "Milton Abramowitz and Irene A. Stegun",
  key =          "NBS",
  booktitle =    "Handbook of Mathematical Functions with Formulas,
                 Graphs, and Mathematical Tables",
  title =        "Handbook of Mathematical Functions with Formulas,
                 Graphs, and Mathematical Tables",
  volume =       "55",
  publisher =    "U. S. Department of Commerce",
  address =      "Washington, DC, USA",
  pages =        "xiv + 1046",
  year =         "1964",
  LCCN =         "QA47.A161 1972; QA 55 A16h 1972",
  bibdate =      "Thu Jan 27 07:58:12 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/han-wri-mat-sci-2ed.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  note =         "Tenth printing, with corrections (December 1972). This
                 book is also available online at
                 \path=http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP=
                 in bitmap image format.",
  series =       "Applied mathematics series",
  abstract =     "This book is a compendium of mathematical formulas,
                 tables, and graphs. It contains a table of analytical
                 integrals, differential equations, and numerical
                 series; and includes tables of trigonometric and
                 hyperbolic functions, tables for numerical integration,
                 rules for differentiation and integration, and
                 techniques for point interpolation and function
                 approximation. Additionally, it devotes a entire
                 section to mathematical and physical constants as
                 fractions and powers of Pi, e, and prime numbers; and
                 discusses statistics by presenting combinatorial
                 analysis and probability functions.",
  acknowledgement = ack-nhfb,
  tableofcontents = "Mathematical constants / David S. Liepman \\
                 Physical constants and conversion factors / A. G.
                 McNish \\
                 Elementary analytical methods / Milton Abramowitz \\
                 Elementary transcendental functions: logarithmic,
                 exponential, circular and hyperbolic functions / Ruth
                 Zucker \\
                 Exponential integral and related functions / Walter
                 Gautschi and William F. Cahill \\
                 Gamma function and related functions / Philip J. Davis
                 \\
                 Error function and Fresnel integrals / Walter Gautschi
                 \\
                 Legendre functions / Irene A. Stegun \\
                 Bessel functions of integer order / F. W. J. Olver \\
                 Bessell functions of fractional order / H. A.
                 Antosiewicz \\
                 Integrals of Bessel functions / Yudell L. Luke \\
                 Struve functions and related functions / Milton
                 Abramowitz \\
                 Confluent hypergeometric functions / Lucy Joan Slater
                 \\
                 Coulomb wave functions / Milton Abramowitz \\
                 Hypergeometric functions / Fritz Oberhettinger \\
                 Jacobian elliptic functions and theta functions;
                 Elliptic integrals / L. M. Milne-Thomson \\
                 Weierstrass elliptic and related functions / Thomas H.
                 Southard \\
                 Parabolic cylinder functions / J. C. P. Miller\ldots{}
                 Mathieu functions / Gertrude Blanch \\
                 Spheroidal wave functions / Arnold N. Lowan \\
                 Orthogonal polynomials / Urs W. Hochstrasser \\
                 Bernoulli and Euler polynomials, Riemann zeta function
                 / Emilie V. Haynesworth and Karl Goldberg \\
                 Combinatorial analysis / K. Goldberg, M. Newman and E.
                 Haynesworth \\
                 Numerical interpolation, differentiation and
                 integration / Philip J. Davis and Ivan Polonsky \\
                 Probability functions / Marvin Zelen and Norman C.
                 Severo \\
                 Miscellaneous functions / Irene A. Stegun \\
                 Scales of notation / S. Peavy and A. Schopf \\
                 Laplace transforms",
}

@Proceedings{Askey:1975:TAS,
  editor =       "Richard Askey",
  booktitle =    "{Theory and application of special functions:
                 proceedings of an advanced seminar sponsored by the
                 Mathematics Research Center, the University of
                 Wisconsin-Madison, March 31--April 2, 1975}",
  title =        "{Theory and application of special functions:
                 proceedings of an advanced seminar sponsored by the
                 Mathematics Research Center, the University of
                 Wisconsin-Madison, March 31--April 2, 1975}",
  number =       "35",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xi + 560",
  year =         "1975",
  ISBN =         "0-12-064850-4",
  ISBN-13 =      "978-0-12-064850-4",
  LCCN =         "QA3 .U45 no. 35 QA351",
  bibdate =      "Sat Oct 30 07:41:32 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Publication of the Mathematics Research Center, the
                 University of Wisconsin",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  meetingname =  "Advanced Seminar on Special Functions, Madison, Wis.,
                 1975.",
  subject =      "Functions, Special; Congresses",
}

@Proceedings{Butzer:1981:BCI,
  editor =       "Paul Leo Butzer and F. (Franziska) Feh{\'e}r",
  booktitle =    "{E. B. Christoffel}, the influence of his work on
                 mathematics and the physical sciences",
  title =        "{E. B. Christoffel}, the influence of his work on
                 mathematics and the physical sciences",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "xxiv + 761",
  year =         "1981",
  DOI =          "https://doi.org/10.1007/978-3-0348-5452-8",
  ISBN =         "3-7643-1162-2",
  ISBN-13 =      "978-3-7643-1162-9",
  LCCN =         "QA7 I57 1981; QA 7 .I57 1981; QA76 .I556 1981",
  bibdate =      "Tue Jan 3 12:47:30 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 sirsi.library.utoronto.ca:2200/UNICORN",
  URL =          "https://link.springer.com/book/10.1007/978-3-0348-5452-8",
  acknowledgement = ack-nhfb,
  meetingname =  "International Christoffel Symposium in Honour of
                 Christoffel on the 150th Anniversary of His Birth
                 (1979: Aachen, Germany, and Monschau, Germany)",
  remark =       "In English, French, German, and Italian. Contains
                 expanded versions of the twelve invited lectures given
                 at the International Christoffel Symposium, held on
                 November 8--11, 1979 at Achen and Monschau.",
  subject =      "Christoffel, Edwin Bruno; Mathematics; Science",
  subject-dates = "1829--1900",
  tableofcontents = "Front Matter / i--xxv \\
                 Portrait of E. B. Christoffel / ii \\
                 Preface / v \\
                 Publications of E. B. Christoffel / ix \\
                 Contents / xi \\
                 List of Sponsors / xvii \\
                 Addresses by G. Urban, F.-W. Janssen, and W. Kruse /
                 xvii \\
                 \\
                 I: Christoffel and His Time \\
                 \\
                 Front Matter / 1--1 \\
                 An Outline of the Life and Work of E. B. Christoffel
                 (1829--1900) / Paul L. Butzer / 2--29 \\
                 Zur Genealogie E. B. Christoffels / Manfred Jansen /
                 30--32 \\
                 Christoffel und die Mathematik an der polytechnischen
                 Schule Z{\"u}rich / Max-Albert Knus / 33--41 \\
                 Die Berliner Gewerbeakademie und ihre Mathematiker /
                 Eberhard Knobloch / 42--51 \\
                 Das Mathematische Seminar der Universit{\"a}t
                 Strassburg 1872--1900 / Friedrich R. Wollmersh{\"a}user
                 / 52--70 \\
                 \\
                 II: Gauss--Christoffel Quadrature Formulae \\
                 \\
                 Front Matter / 71--71 \\
                 A Survey of Gauss--Christoffel Quadrature Formulae /
                 Walter Gautschi / 72--147 \\
                 Numeri di Christoffel e polinomi s-ortogonali /
                 Alessandro Ossicini, Francesco Rosati / 148--157 \\
                 \\
                 III: Orthogonal Polynomials, Continued Fractions and
                 Pad{\'e} Approximation \\
                 \\
                 Front Matter / 159--159 \\
                 Die Bedeutung der Christoffelschen Summenformel f{\"u}r
                 die Entwicklung nach Orthogonalpolynomen / J. Meixner /
                 160--172 \\
                 Orthogonal Polynomials which Satisfy Second Order
                 Differential Equations / F. V. Atkinson, W. N. Everitt
                 / 173--181 \\
                 {\"U}ber Orthogonalpolynome mit besonderen
                 Eigenschaften / Wolfgang Hahn / 182--189 \\
                 The Work of E. B. Christoffel on the Theory of
                 Continued Fractions / Peter Wynn / 190--202 \\
                 A Priori Truncation Error Estimates for Stieltjes
                 Fractions / Wolfgang J. Thron / 203--211 \\
                 Generalisations of Pad{\'e} Approximation for Chebyshev
                 and Fourier Series / J. S. R. Chisholm, A. K. Common /
                 212--231 \\
                 An Asymptotic, Pad{\'e} Approximant Method for Legendre
                 Series / George A. Baker Jr., J. E. Gubernatis /
                 232--242 \\
                 \\
                 IV: Christoffel--Schwarz Transformation and Conformal
                 Representation \\
                 \\
                 Front Matter / 243--243 \\
                 Die Bedeutung der Arbeiten Christoffels f{\"u}r die
                 Funktionentheorie / Albert Pfluger / 244--252 \\
                 Remarks on the Schwarz--Christoffel Transformation / A.
                 W. Goodman / 253--262 \\
                 Computer Application of the Schwarz--Christoffel
                 Transformation / Lloyd N. Trefethen / 263--274 \\
                 Regularity Properties of Solutions of Elliptic
                 Equations Near Corners / A. Azzam, E. Kreyszig /
                 275--289 \\
                 Das logarithmische Potential und die konforme Abbildung
                 mehrfach zusammenh{\"a}ngender Gebiete / Dieter Gaier /
                 290--303 \\
                 \\
                 V: Theta Functions, Automorphic Functions and Riemann
                 Surfaces \\
                 \\
                 Front Matter / 305--305 \\
                 On Automorphic Functions / Christian Pommerenke /
                 306--313 \\
                 Semigroups of Holomorphic Maps of a Riemann Surface
                 into itself which are Homomorphs of the Set of Positive
                 Reals Considered Additively / Maurice Heins / 314--331
                 \\
                 Bemerkungen zur isometrischen Verheftung ebener Gebiete
                 / Alfred Huber / 332--335 \\
                 Eine Bemerkung zu Andrianovs expliziten Formeln f{\"u}r
                 die Wirkung der Heckeoperatoren auf Thetareihen /
                 Eberhard Freitag / 336--351 \\
                 Schottky's Invariant and Quadratic Forms \\
                 Jun-ichi Igusa / 352--362 \\
                 \\
                 VI: Differential Equations, Potential Theory \\
                 \\
                 Front Matter / 363--363 \\
                 A propos d un travail de Christoffel sur les
                 {\'e}quations diff{\'e}rentielles / J. Martinet /
                 364--366 \\
                 {\"U}ber die Beitr{\"a}ge Christoffels zur
                 Potentialtheorie / Marcel Brelot / 367--377 \\
                 Application d un Th{\'e}or{\`e}me de H{\"o}rmander
                 {\`a} l Etude des Singularit{\'e}s des Probl{\`e}mes
                 aux Limites Hyperboliques / H. G. Garnir, E.
                 Lejeune-Rifaut / 378--390 \\
                 On Fundamental Systems of Differential Semi-Invariants
                 in Several Variables / Hisasi Morikawa / 391--396 \\
                 Parabolicity and the Riemann Theorem / Mitsuru Nakai,
                 Leo Sario / 397--400 \\
                 On the Structure of the Set of Eigenfunctions of
                 Certain Irregular Boundary Problems / Agnes I. Benedek,
                 Rafael Panzone / 401--410 \\
                 \\
                 VII: Shock Waves, Continuum Mechanics \\
                 \\
                 Front Matter / 411--411 \\
                 Historischer {\"U}berblick zur mathematischen Theorie
                 von Unstetigkeitswellen seit Riemann und Christoffel /
                 Ernst H{\"o}lder / 412--434 \\
                 G. Herglotz Behandlung von Beschleunigungswellen in
                 seiner Vorlesung \ogMechanik der Kontinua\fg angewandt
                 auf die Stosswellen von Christoffel / Ernst H{\"o}lder
                 / 435--448 \\
                 Unstetigkeitsfl{\"a}chen in der Kontinuumsmechanik / W.
                 Arrenbrecht, J. Ballmann / 449--460 \\
                 \\
                 VIII: Riemannian Geometry, Submanifolds \\
                 \\
                 Front Matter / 461--461 \\
                 Die Bedeutung von Christoffel f{\"u}r die Geometrie /
                 W. Klingenberg / 462--473 \\
                 E. B. Christoffels Weg zum absoluten
                 Differentialkalk{\"u}l und sein Beitrag zur Theorie des
                 Kr{\"u}mmungstensors / M. Pinl / 474--479 \\
                 Une caract{\'e}risation purement m{\'e}trique des
                 vari{\'e}t{\'e}s Riemanniennes {\`a} courbure constante
                 / Marcel Berger / 480--492 \\
                 Immersions et rep{\`e}res mobiles / Daniel Bernard /
                 493--507 \\
                 The Euclidean Laplacian / Thomas James Willmore /
                 508--516 \\
                 \\
                 IX: Invariant Theory, Differential Operators and Field
                 Physics \\
                 \\
                 Front Matter / 517--517 \\
                 Christoffel und die Invariantentheorie / W. Burau /
                 518--525 \\
                 Christoffel's Work on the Equivalence Problem for
                 Riemannian Spaces and Its Importance for Modem Field
                 Theories of Physics / J{\"u}rgen Ehlers / 526--542 \\
                 Some Characterizations of Differential Operators on
                 Vector Bundles / M. De Wilde, P. Lecomte / 543--549 \\
                 Connections in Generalized Gauge Fields / Hanno Rund /
                 550--560 \\
                 Remarks on the Cauchy Problem for the Maxwell Equations
                 in a Curved Space-Time / Hans Triebel / 561--566 \\
                 \\
                 X: Affine and Projective Structures, Nonlinear
                 Differential Geometry \\
                 \\
                 Front Matter / 567--567 \\
                 Die Bedeutung Christoffelscher Zusammenh{\"a}nge in der
                 affinen Differentialgeometrie / Woldemar Barthel,
                 Reinhard Volkmer / 568--583 \\
                 On Projective Covariant Differentiation / Robert C.
                 Gunning / 584--591 \\
                 Generic Minimal Submanifolds with Flat Normal
                 Connection / Kentaro Yano, Masahiro Kon / 592--599 \\
                 {\"U}ber die Verallgemeinerung der Christoffelschen
                 {\"U}bertragungstheorie in Linienelementenr{\"a}umen /
                 Arthur Mo{\'o}r / 600--610 \\
                 Die Verallgemeinerung Christoffelscher
                 Zusammenh{\"a}nge in der nichtlinearen
                 Differentialgeometrie / Woldemar Barthel, Helmut Pabel
                 / 611--623 \\
                 \\
                 XI: G-Spaces, Convex Bodies and Foundations \\
                 \\
                 Front Matter / 625--625 \\
                 Symmetric Spaces and Ellipses / H. Busemann, B. B.
                 Phadke / 626--635 \\
                 Zum Beweis eines Eindeutigkeitssatzes von A. D.
                 Aleksandrow / Kurt Leichtweiss / 636--652 \\
                 Der Liouvillesche Satz {\"u}ber winkeltreue
                 (orthogonaltreue) Abbildungen f{\"u}r singul{\"a}re
                 Metriken / Walter Benz / 653--656 \\
                 Affine Einbettung absoluter R{\"a}ume beliebiger
                 Dimension / Helmut Karzel, Monika K{\"o}nig / 657--670
                 \\
                 \\
                 XII: Dispersion of Light, Dynamical Systems \\
                 \\
                 Front Matter / 671--671 \\
                 A Cohomological Invariant of Discrete Dynamical Systems
                 / Victor Guillemin, Richard Melrose / 672--679 \\
                 Dispersion und mechanische {\"A}thertheorien im
                 19. Jahrhundert / Karl von Meyenn / 680--703 \\
                 Generalized Riemann Integrals and the Divergence
                 Theorem for Differentiable Vector Fields / Jean Mawhin
                 / 704--714 \\
                 \\
                 XIII: Short Communications \\
                 \\
                 Front Matter / 715--717 \\
                 Index to the ``Short Communications'' / 716 \\
                 \\
                 Short Articles on Christoffel's Work \\
                 \\
                 Christoffel's Work on Shock Waves / F. V. Atkinson /
                 718--720 \\
                 Subsequent Work on Christoffel's Problem about
                 Determining a Surface from Local Measurements / Wm. J.
                 Firey / 721--723 \\
                 Recognition of Christoffel's Work on Quadrature during
                 and after His Lifetime / Walter Gautschi / 724--727 \\
                 Remarks on E. B. Christoffel's Paper: {\"U}ber die
                 kleinen Schwingungen eines periodisch eingerichteten
                 Systems materieller Punkte / Jean Mawhin / 728--730 \\
                 Remark upon Developments in the Theories of the Moment
                 Problem and of Quadrature, Subsequent to the Work of
                 Christoffel / P. Wynn / 731--734 \\
                 Kommentar eines Geod{\"a}ten zu einer Arbeit E. B.
                 Christoffels / Erik W. Grafarend / 735--742 \\
                 \\
                 Short Commentaries \\
                 \\
                 Das Werk Christoffels f{\"u}r die Differentialgeometrie
                 / W. Barthel / 743--743 \\
                 Der Ricci-Kalk{\"u}l im Vergleich zur Methode der
                 Pfaffschen Formen / W. Haack / 743--744 \\
                 Christoffel's Work in Complex Analysis / M. Heins /
                 744--744 \\
                 Christoffel's Paper of 1866 on Implicit Differential
                 Equations / J. Mawhin / 744--745 \\
                 Der Einflu{\ss} Christoffels auf die Potentialtheorie /
                 M. Brelot / 745--745 \\
                 Zum Vortrag von Herrn Brelot {\"u}ber Christoffels
                 Beitr{\"a}ge zur Potentialtheorie / Cl. M{\"u}ller /
                 745--746 \\
                 Zur Christoffel--Darboux-Formel / H. Kalf / 746--747
                 \\
                 Christoffels Bedeutung vom Standpunkt des Physikers /
                 K. Bleuler / 747--747 \\
                 On the Concept of Connections (Gauge Theories) in
                 Modern Physics / H. A. Kastrup / 747--748 \\
                 Christoffel und die Feldphysik / J. Ehlers / 748--748
                 \\
                 \\
                 Comments on the Ranking of Christoffel \\
                 \\
                 Christoffel und die Differentialgeometrie / W.
                 Klingenberg / 749--749 \\
                 Christoffel und die Geometrie / K. Leichtweiss /
                 749--749 \\
                 Christoffel und die Funktionentheorie / A. Pfluger /
                 749--749 \\
                 Christoffel and Numerical Analysis / W. Gautschi /
                 749--749 \\
                 Christoffel und die Kontinuumsmechanik / E. H{\"o}lder
                 / 750--750 \\
                 A General Evaluation of Christoffel / P. L. Butzer, F.
                 Feh{\'e}r / 750--750 \\
                 Back Matter / 751--761 \\
                 \\
                 Alphabetical List of Paper / 751 \\
                 Index of AMS Subject Classification Numbers / 754 \\
                 Index of Key Words and Phrases / 757",
}

@Book{Golub:1984:SNA,
  editor =       "Gene H. Golub",
  booktitle =    "Studies in Numerical Analysis",
  title =        "Studies in Numerical Analysis",
  volume =       "24",
  publisher =    pub-MATH-ASSOC-AMER,
  address =      pub-MATH-ASSOC-AMER:adr,
  pages =        "x + 415",
  year =         "1984",
  ISBN =         "0-88385-126-1 (v. 1), 0-88385-100-8 (set)",
  ISBN-13 =      "978-0-88385-126-5 (v. 1), 978-0-88385-100-5 (set)",
  LCCN =         "QA297 .S83 1984",
  MRclass =      "65-06",
  MRnumber =     "88i:65007",
  bibdate =      "Sat Oct 22 17:16:36 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "Studies in mathematics",
  acknowledgement = ack-nhfb,
  author-dates = "Gene Howard Golub (February 29, 1932--November 16,
                 2007)",
  keywords =     "numerical analysis",
  tableofcontents = "Gene H. Golub / Preface \\
                 James H. Wilkinson / The perfidious polynomial \\
                 Jorge J. Mor{\'e} and D. C. Sorensen / Newton's method
                 \\
                 Iain S. Duff / Research directions in sparse matrix
                 computations \\
                 Walter Gautschi / Questions of numerical conditions
                 related to polynomials \\
                 Paul Concus, Gene H. Golub, and Dianne P. O'Leary / A
                 generalized conjugate gradient method for the numerical
                 solution of elliptic partial differential equations \\
                 J. Barkley Rosser / Solving differential equations on a
                 hand held programmable calculator \\
                 V. Pereyra / Finite difference solution of boundary
                 value problems in ordinary differential equations \\
                 Dennis C. Jespersen / Multigrid methods for partial
                 differential equations \\
                 Paul N. Swarztrauber / Fast Poisson solvers \\
                 Peter Henrici / Poisson's equation in a hypercube:
                 discrete Fourier methods, eigenfunction expansions,
                 Pad{\'e} approximation to eigenvalues",
}

@Proceedings{Gautschi:1994:MCH,
  editor =       "Walter Gautschi",
  booktitle =    "{Mathematics of computation, 1943--1993: a
                 half-century of computational mathematics: Mathematics
                 of Computation 50th Anniversary Symposium, August
                 9--13, 1993, Vancouver, British Columbia}",
  title =        "{Mathematics of computation, 1943--1993: a
                 half-century of computational mathematics: Mathematics
                 of Computation 50th Anniversary Symposium, August
                 9--13, 1993, Vancouver, British Columbia}",
  volume =       "48",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "xix + 643",
  year =         "1994",
  ISBN =         "0-8218-0291-7, 0-8218-0353-0 (pt. 1), 0-8218-0354-9
                 (pt. 2)",
  ISBN-13 =      "978-0-8218-0291-5, 978-0-8218-0353-0 (pt. 1),
                 978-0-8218-0354-7 (pt. 2)",
  ISSN =         "0160-7634",
  LCCN =         "QA1 .A56 v.48 1994; QA297.M385 1993",
  MRclass =      "00B25 (11-06 65-06)",
  MRnumber =     "95j:00014",
  bibdate =      "Mon Oct 24 11:37:20 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1940.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcw.bib",
  note =         "See also SIAM Review, September 1995, {\bf 37}(3), p.
                 483.",
  series =       "Proceedings of Symposia in Applied Mathematics",
  acknowledgement = ack-nhfb,
  author-dates = "Frank William John Olver (15 December 1924--23 April
                 2013)",
  tableofcontents = "Preface / xi \\
                 Mathematics of Computation: A brief history / Eugene
                 Isaacson / xvii \\
                 \\
                 Part I. Symposium on Numerical Analysis \\
                 \\
                 Invited Papers \\
                 \\
                 On the development of multigrid methods and their
                 analysis / James H. Bramble / 5 \\
                 An introduction to inverse problems / Margaret Cheney /
                 21 \\
                 Algorithms for unconstrained optimization: A review of
                 recent developments / Donald Goldfarb / 33 \\
                 A survey of componentwise perturbation theory in
                 numerical linear algebra / Nicholas J. Higham / 49 \\
                 Numerical evaluation of special functions / D. W.
                 Lozier and F. W. J. Olver / 79 \\
                 A survey of numerical cubature over triangles / J. N.
                 Lyness and Ronald Cools / 127 \\
                 New trends in the use and analysis of integral
                 equations / J. C. Nedelec / 151 \\
                 Applications of multivariate splines / Larry L.
                 Schumaker / 177 \\
                 Initial value problems for ordinary differential
                 equations: Development of ideas, techniques, and
                 implementation / Hans J. Stetter / 205 \\
                 Multiresolution methods for partial differential
                 equations / Roger Temam / 225 \\
                 \\
                 Contributed Papers \\
                 \\
                 A comparison of techniques for solving ill-conditioned
                 problems arising from the immersed boundary method /
                 Loyce Adams and Zhiyun Yang / 243 \\
                 A mixed spectral-collocation and operator splitting
                 method for the Wigner-Poisson equation / Anton Arnold /
                 249 \\
                 Finite volume methods for irregular one-dimensional
                 grids / M. J. Berger, R. J. Leveque, and L. G. Stern /
                 255 \\
                 Linear rational interpolation of continuous functions
                 over an interval / Jean-Paul Berrut / 261 \\
                 A von Neumann reflection for the 2-D Burgers equation /
                 M. Brio and J. K. Hunter / 265 \\
                 Slow evolution from the boundary: A new stabilizing
                 constraint in ill-posed continuation problems / Alfred
                 S. Carasso / 269 \\
                 A finite element method for the 2D drift-diffusion
                 semiconductor model / Zhangxin Chen / 275 \\
                 Splitting functions and numerical analysis of WR-type
                 methods for evolutionary and stationary problems / S.
                 De Marchi, M. Vianello, and R. Zanovello / 281 \\
                 Error estimates for a quadrature rule for Cauchy
                 principal value integrals / Kai Diethelm / 287 \\
                 A numerical radius approach to stable difference
                 schemes for parabolic systems / Moshe Goldberg / 293
                 \\
                 An extension of the Olver-Sookne method for the
                 solution of second-order linear difference equations /
                 Takemitsu Hasegawa and Tatsuo Torii / 297 \\
                 The Faber polynomials for circular arcs / Matthew He /
                 301 \\
                 Finite element approximation for optimal control of
                 electrically conducting fluid flows / L. S. Hou and S.
                 S. Ravindran / 305 \\
                 ADI methods for heat equations with discontinuities
                 along an arbitrary interface / Zhilin Li and Anita Mayo
                 / 311 \\
                 Eigenvalue approximation of Fredholm integral operators
                 / E. B. Lin / 317 \\
                 Spectral methods for singular perturbation problems /
                 Wenbin Liu and Tao Tang / 323 \\
                 A quaternion-Jacobi method for symmetric matrices /
                 Niloufer Mackey / 327 \\
                 On constructing Chebyshev series solutions of
                 differential equations / Allan J. MacLeod / 333 \\
                 Multiquadric collocation methods in the numerical
                 solution of Volterra integral and integro-differential
                 equations / Athena Makroglou / 337 \\
                 Methods for solving large eigenvalue problems
                 associated with configuration interaction electronic
                 structure calculations / Kristyn J. Maschhoff / 343 \\
                 Computing limiting normals to real surfaces / Donal
                 O'Shea and Les Wilson / 349 \\
                 Orthogonal spline collocation solution of nonlinear
                 Schr{\"o}dinger equations / Mark P. Robinson / 355 \\
                 Who invented the computer? The debate from the
                 viewpoint of computer architecture / Ra{\'u}l Rojas /
                 361 \\
                 Locking and boundary layer effects in the finite
                 element approximation of the Reissner--Mindlin plate
                 model / Christoph Schwab and Manil Suri / 367 \\
                 Efficient spectral Galerkin methods for some elliptic
                 problems / Jie Shen / 373 \\
                 Periodic solutions of higher-order difference equations
                 in two independent variables / Qin Sheng and Ravi P.
                 Agarwal / 377 \\
                 Front tracking based on high-resolution wave
                 propagation methods / Keh-Ming Shyue / 383 \\
                 Time-splitting methods for nonhomogeneous conservation
                 laws / Tao Tang and Zhen-Huan Teng / 389 \\
                 Numerical aspects of uniform Airy-type asymptotic
                 expansions / N. M. Temme / 395 \\
                 Local dynamics and bifurcation consistencies of
                 continuous-time dynamical systems and their numerical
                 discretizations / Xin Wang, Edward K. Blum, and Qingnan
                 Li / 399 \\
                 Computing integrals of the complex error function / J.
                 A. C. Weideman / 403 \\
                 Quadratures for improper integrals and their
                 applications in integral equations / Yuesheng Xu and
                 Yunhe Zhao / 409 \\
                 Spline harmonic analysis and wavelet bases / Valery A.
                 Zheludev / 415 \\
                 \\
                 Part II. Minisymposium on Computational Number Theory
                 Dedicated to the memory of Derrick Henry Lehmer \\
                 \\
                 Invited Papers \\
                 \\
                 Algorithms for quadratic orders / Ingrid Biehl and
                 Johannes Buchmann / 425 \\
                 Analytic computations in number theory / Andrew M.
                 Odlyzko / 451 \\
                 The number field sieve / Carl Pomerance / 465 \\
                 Factoring integers before computers / H. C. Williams
                 and J. O. Shallit / 481 \\
                 \\
                 Contributed Papers \\
                 \\
                 Explicit bounds for primes in residue classes / Eric
                 Bach and Jonathan Sorenson / 535 \\
                 Ramanujan and Euler's constant / Richard P. Brent / 541
                 \\
                 Congruential sieves on FPGA computers / Nathan D.
                 Bronson and Duncan A. Buell / 547 \\
                 Lehmer pairs of zeros and the Riemann $\xi$-function /
                 George Csordas, Wayne Smith, and Richard S. Varga / 553
                 \\
                 A record Aliquot sequence / Andrew W. P. Guy and
                 Richard K. Guy / 557 \\
                 Implications of computational mathematics for the
                 philosophy of mathematics / Andrew J. Lazarus / 561 \\
                 Square roots of products of algebraic numbers / Peter
                 L. Montgomery / 567 \\
                 A locally parameterized version of Lehmer's problem /
                 Gary A. Ray / 573 \\
                 A new method for finding amicable pairs / H. J. J. te
                 Riele / 577 \\
                 Generalized Fermat numbers / Hans Riesel and Anders
                 Bj{\"o}rn / 583 \\
                 Evaluation of $\zeta_K(2)$ for some totally real
                 algebraic number fields K of degree 9 / Kisao Takeuchi
                 / 589 \\
                 The period of the Bell exponential integers modulo a
                 prime / Samuel S. Wagstaff, Jr. / 595 \\
                 Computing invariant polynomials of $p$-adic reflection
                 groups / Changsheng Xu / 599 \\
                 Author Index / 603 \\
                 Subject Index / 619",
}

@Proceedings{Zahar:1994:ACF,
  editor =       "R. V. M. (Ramsay Vincent Michael) Zahar",
  booktitle =    "{Approximation and computation: a Festschrift in honor
                 of Walter Gautschi: proceedings of the Purdue
                 conference, December 2--5, 1993}",
  title =        "{Approximation and computation: a Festschrift in honor
                 of Walter Gautschi: proceedings of the Purdue
                 conference, December 2--5, 1993}",
  volume =       "119",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "xlvi + 591",
  year =         "1994",
  ISBN =         "0-8176-3753-2",
  ISBN-13 =      "978-0-8176-3753-8",
  LCCN =         "QA221 .A634 1994",
  bibdate =      "Wed May 9 09:01:57 MDT 2007",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "International series of numerical mathematics",
  acknowledgement = ack-nhfb,
  subject =      "Approximation theory; Congresses; Orthogonal
                 polynomials; Numerical integration; Functions,
                 Special",
}

@Proceedings{Gautschi:1999:ACO,
  editor =       "Walter Gautschi and Gene H. Golub and Gerhard Opfer",
  booktitle =    "Applications and computation of orthogonal
                 polynomials: conference at the Mathematical Research
                 Institute Oberwolfach, Germany, March 22--28, 1998",
  title =        "Applications and computation of orthogonal
                 polynomials: conference at the Mathematical Research
                 Institute Oberwolfach, Germany, March 22--28, 1998",
  volume =       "131",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "xii + 268",
  year =         "1999",
  ISBN =         "3-7643-6137-9, 0-8176-6137-9 (paperback)",
  ISBN-13 =      "978-3-7643-6137-2, 978-0-8176-6137-3 (paperback)",
  LCCN =         "QA404.5 .A67 1999",
  bibdate =      "Thu Oct 16 11:26:28 2003",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  series =       "International series of numerical mathematics",
  acknowledgement = ack-nhfb,
  author-dates = "Gene Howard Golub (February 29, 1932--November 16,
                 2007)",
  tableofcontents = "The sensitivity of least squares polynomial
                 approximation / Bernhard Beckermann and Edward B. Saff
                 \\
                 Transpose-free look-ahead algorithms for Lanczos'
                 method / Claude Brezinski and Michela Redivo-Zaglia \\
                 Applications of anti-Gauss quadrature rules in linear
                 algebra / Daniela Calvetti, Lothar Reichel and Fiorella
                 Sgallari \\
                 Stieltjes polynomials and the error of Gauss--Kronrod
                 quadrature formulas / Sven Ehrich \\
                 Fast solution of confluent Vandermonde-like linear
                 systems using polynomial arithmetic / Hans-J{\"u}rgen
                 Fischer \\
                 On discrete polynomial least-squares approximation in
                 moving time windows / Erich Fuchs \\
                 Quadrature rules based on $s$-orthogonal polynomials
                 for evaluating integrals with strong singularities /
                 Laura Gori and Elisabetta Santi \\
                 Gegenbauer weight functions admitting $L_2$ Duffin and
                 Schaeffer type inequalities / David B. Hunter and Geno
                 Nikolov \\
                 Questions related to Gaussian quadrature formulas and
                 two-term recursions / Dirk P. Laurie \\
                 Construction and computation of a new set of orthogonal
                 polynomials / Shikang Li \\
                 Fourier transforms of orthogonal polynomials of
                 singular continuous spectral measures / Giorgio Mantica
                 \\
                 On a sequence of fast decreasing polynomial operators /
                 Hrushikesh N. Mhaskar and J{\"u}rgen Prestin \\
                 Muntz orthogonal polynomials and their numerical
                 evaluation / Gradimir V. Milovanovic \\
                 Positivity of Gauss--Kronrod formulae for a certain
                 ultraspherical weight function / Knut Petras \\
                 A Christoffel--Darboux-type formula for Szego
                 polynomials and polynomial evaluation / Michael-Ralf
                 Skrzipek \\
                 Applications of tensor-valued tri-variate Hermite
                 polynomials and spherical harmonics in the kinetic
                 theory of gases / Kurt Suchy \\
                 Indeterminate moment problems and a conjecture on the
                 growth of the entire functions in the Nevanlinna
                 parametrization / Galliano Valent \\
                 Spectral methods based on nonclassical orthogonal
                 polynomials / J. Andre C. Weideman",
}

@Book{Lide:2001:CEM,
  editor =       "D. R. Lide",
  booktitle =    "A Century of Excellence in Measurements, Standards,
                 and Technology: {A} Chronicle of Selected {NBS\slash
                 NIST} Publications, 1901--2000",
  title =        "A Century of Excellence in Measurements, Standards,
                 and Technology: {A} Chronicle of Selected {NBS\slash
                 NIST} Publications, 1901--2000",
  volume =       "958",
  publisher =    pub-NTIS,
  address =      pub-NTIS:adr,
  pages =        "ix + 386",
  year =         "2001",
  bibdate =      "Wed Oct 25 15:09:56 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "NIST Special Publication",
  URL =          "https://nvlpubs.nist.gov/nistpubs/sp958-lide/cntsp958old.htm",
  acknowledgement = ack-nhfb,
  subject-dates = "Magnus Rudolph Hestenes (13 February 1906--31 May
                 1991)",
  tableofcontents = "Introduction / David R. Lide / 002 \\
                 The Absolute Measurement of Inductance / A-M. Jeffrey,
                 N. B. Belecki, and J. F. Mayo-Wells / 005 \\
                 Determination of the Constants of Total Radiation From
                 a Black Body / Albert C. Parr / 007 \\
                 The Testing of Thermal Insulators / Robert R. Zarr /
                 010 \\
                 Precipitation Hardening of Metal Alloys / Sam Coriell /
                 014 \\
                 Construction and Operation of a Simple Homemade Radio
                 Receiving Outfit / Brian Belanger / 016 \\
                 Methods for Standardizing and Testing Precision Gage
                 Blocks / Ted Doiron / 019 \\
                 Recommended Minimum Requirements for Small Dwelling
                 Construction / Joel P. Zingeser / 022 \\
                 Visibility of Radiant Energy / Jonathan E. Hardis / 025
                 \\
                 Test of the Severity of Building Fires / David Evans,
                 Daniel Gross, and Richard Wright / 028 \\
                 Calculation of Compounds in Portland Cements / Geoffrey
                 Frohnsdorff / 033 \\
                 Development of the Visual-Type Airway Radio-Beacon
                 System / Hans J. Oser / 038 \\
                 A Hydrogen Isotope of Mass 2 / Walter J. Hamer and H.
                 Steffen Peiser / 043 \\
                 Air Flow and Turbulence in Boundary Layers / Norman A.
                 Mease and James E. Potzick / 046 \\
                 Thermodynamic Properties of Water and Steam for Power
                 Generation / Allan H. Harvey and Johanna M. H. Levelt
                 Sengers / 049 \\
                 Absolute Pressure Calibrations of Microphones / Victor
                 Nedzelnitsky / 053 \\
                 Absolute Determination of the Ampere / E. R. Williams,
                 R. E. Elmquist, N. B. Belecki, and J. F. Mayo-Wells /
                 056 \\
                 Radio Proximity Fuzes / John W. Lyons, E. A. Brown, and
                 B. Fonoroff / 059 \\
                 Stability of Double-Walled Manganin Resistors / R.
                 Dziuba, N. B. Belecki, and J. F. Mayo-Wells / 063 \\
                 Manufacture of Paper for War Maps and Other
                 Applications / William K. Wilson / 066 \\
                 Transmission of Sound Waves in Gases at Low Pressures /
                 Thomas M. Proctor / 069 \\
                 Atomic Energy Levels and Other Spectroscopic Data /
                 Wolfgang L. Wiese / 073 \\
                 Iteration Method for the Solution of the Eigenvalue
                 Problem of Linear Differential and Integral Operators /
                 Dianne P. O'Leary / 077 \\
                 Methods of Conjugate Gradients for Solving Linear
                 Systems / Dianne P. O'Leary / 081 \\
                 Computer Development at the National Bureau of
                 Standards / Russell A. Kirsch / 086 \\
                 Thermal Converters as AC--DC Transfer Standards for
                 Current and Voltage Measurements at Audio Frequencies /
                 J. R. Kinard, Jr., N. B. Belecki, and J. F. Mayo-Wells
                 / 090 \\
                 Selected Values of Chemical Thermodynamic Properties /
                 David R. Lide / 093 \\
                 Applied Inorganic Analysis / Charles M. Beck II / 097
                 \\
                 The Diamond Anvil Pressure Cell / Gasper Piermarini and
                 Stanley Block / 100 \\
                 Polymer Crystallization With Folded Chains / Freddy
                 Khoury, John Hoffman, and Tom Davis / 104 \\
                 Cryogenic Engineering / Richard H. Kropschot / 107 \\
                 Reversal of the Parity Conservation Law in Nuclear
                 Physics / Ralph P. Hudson / 111 \\
                 Effects of Configuration Interaction on Intensities and
                 Phase Shifts / Charles W. Clark / 116 \\
                 Electromagnetic Waves in Stratified Media / D. A. Hill
                 / 120 \\
                 ``Second Breakdown'' in Transistors / Harry A. Schafft
                 / 123 \\
                 Stress Relaxation With Finite Strain / Elliot Kearsley
                 and Barry Bernstein / 126 \\
                 Realistic Evaluation of the Precision and Accuracy of
                 Instrument Calibration Systems / M. Carroll Croarkin /
                 129 \\
                 Experimental Statistics / M. Carroll Croarkin / 132 \\
                 Handbook of Mathematical Functions / Ronald F. Boisvert
                 and Daniel W. Lozier / 135 \\
                 Paths, Trees, and Flowers / Christoph Witzgall, Ronald
                 Boisvert, Geraldine Cheok, Saul Gass, Alan Goldman, and
                 James Lawrence / 140 \\
                 Concepts, Terminology, and Notation for Optical
                 Modulation / Calvin S. McCamy / 145 \\
                 Theory of Light Scattering in Fluids / Raymond D.
                 Mountain / 149 \\
                 Scaling Analysis of Thermodynamic Properties in the
                 Critical Region of Fluids / Raymond D. Mountain / 152
                 \\
                 Resonance Tunneling of Field Emitted Electrons Through
                 Adsorbates on Metal Surfaces / J. W. Gadzuk / 155 \\
                 Quantitative Electron Probe Microanalysis / Dale E.
                 Newbury / 160 \\
                 Limits for Qualitative Detection and Quantitative
                 Determination / Richard M. Lindstrom / 164 \\
                 Traceability: An Evolving Concept / Brian Belanger,
                 Stanley Rasberry, Ernest Garner, Carroll Brickencamp,
                 and Charles Ehrlich / 167 \\
                 Code for Information Interchange / Martha M. Gray / 172
                 \\
                 Consumer Information Series / Walter G. Leight and W.
                 Reeves Tilley / 174 \\
                 Theory of Isoperibol Calorimetry for Laser Power and
                 Energy Measurement / Thomas R. Scott / 178 \\
                 Influence of Water on Crack Growth in Glass / Edwin
                 Fuller, William Luecke, and Stephen Freiman / 181 \\
                 Phase Equilibria Diagrams / Ronald Munro, Howard
                 McMurdie, Helen Ondik, and Terrell Vanderah / 184 \\
                 Determination of Reduced Cells in Crystallography /
                 Alan D. Mighell, Vicky Lynn Karen, and Ronald Munro /
                 188 \\
                 Speed of Light From Direct Frequency and Wavelength
                 Measurements / Donald B. Sullivan / 191 \\
                 Connecting Visible Wavelength Standards With X Rays and
                 {gamma}Rays / Richard D. Deslattes / 194 \\
                 Laser Cooling of Atoms / D. B. Sullivan / 200 \\
                 Spin-Polarized Electrons / Daniel T. Pierce and Robert
                 J. Celotta / 203 \\
                 Needs for Radioactivity Standards and Measurements in
                 Different Fields / Bert Coursey / 209 \\
                 The Topografiner: An Instrument for Measuring Surface
                 Microtopography / J. S. Villarurubia, R. D. Young, F.
                 Scire, E. C. Teague, and J. W. Gadzuk / 214 \\
                 Electron-Stimulated Desorption / Ted Madey and John
                 Yates / 219 \\
                 Photochemistry of Small Molecules / James R. McNesby
                 and Ralph Klein / 224 \\
                 Role of Standard Reference Materials in Measurement
                 Systems / Thomas E. Gills / 227 \\
                 Metrology and Standardization to Assist Industrializing
                 Economies / Lewis M. Branscomb / 230 \\
                 Publications Taking Us Toward a Metric America / Ralph
                 A. Richter / 234 \\
                 A New Approach to Manipulator Control: The Cerebellar
                 Model Articulation Controller / James S. Albus / 237
                 \\
                 Three Dimensional Metrology / Ted Doiron / 241 \\
                 Initial Graphics Exchange Specifications / Sharon K.
                 Kemmerer / 246 \\
                 Data Encryption Standard / William E. Burr / 250 \\
                 OMNIDATA and the Computerization of Scientific Data /
                 John R. Rumble, Jr. / 254 \\
                 FORTRAN Test Programs / John Cugini / 258 \\
                 Design and Evaluation Criteria for Energy Conservation
                 in New Buildings / Jim L. Heldenbrand / 260 \\
                 Computer Program for Heating and Cooling Loads in
                 Buildings / George Walton / 266 \\
                 Methods for Testing and Rating the Performance of
                 Heating and Air Conditioning Systems / James E. Hill /
                 270 \\
                 System for Fire Safety Evaluation of Health Care
                 Facilities / Harold Nelson / 275 \\
                 Estimation of Rate of Heat Release by Means of Oxygen
                 Consumption Measurements / Kenneth D. Steckler / 280
                 \\
                 Probability-Based Load Criteria for Structural Design /
                 Bruce R. Ellingwood / 283 \\
                 Resistivity-Dopant Density Relationship for
                 Phosphorus-Doped Silicon / W. R. Thurber / 289 \\
                 Critical Data for Critical Needs / John R. Rumble, Jr.
                 / 291 \\
                 Materials at Low Temperatures / Fred Fickett / 294 \\
                 Optical Fiber Characterization / D. L. Franzen / 297
                 \\
                 Quasicrystals / Ronald Munro, Frank Gale, and Carol
                 Handwerker / 300 \\
                 Protein Crystallography by Joint X-Ray and Neutron
                 Diffraction / Norman F. Berk / 303 \\
                 Strain Effects in Superconducting Compounds / J. W.
                 Ekin / 306 \\
                 Dental Research at the National Bureau of Standards /
                 John Tesk and Ronald Munro / 309 \\
                 Handbook for Standard Reference Materials Users /
                 Thomas E. Gills / 313 \\
                 A Practical Josephson Voltage Standard at One Volt / Y.
                 Tang, N. B. Belecki, and J. F. Mayo-Wells / 315 \\
                 Plane-Wave Scattering-Matrix Theory of Antennas and
                 Antenna-Antenna Interactions / A. G. Repjar and J. F.
                 Mayo-Wells / 319 \\
                 The Automated Manufacturing Research Facility / James
                 S. Albus / 322 \\
                 Submicrometer Linewidth Metrology / Michael T. Postek
                 and Robert D. Larrabee / 328 \\
                 Observation of Atoms Laser-Cooled Below the Doppler
                 Limit / Steven Rolston / 331 \\
                 Laser-Excited Hot-Electron Induced Desorption / J. W.
                 Gadzuk / 334 \\
                 Measurement of the Universal Gas Constant Using an
                 Acoustic Resonator / Michael R. Moldover / 339 \\
                 Thermal and Oxidative Degradation of Polymers / Takashi
                 Kashiwagi / 344 \\
                 HAZARD I: Software for Fire Hazard Assessment / Richard
                 Bukowski / 347 \\
                 Analysis of the Catastrophic Rupture of a Pressure
                 Vessel / Tom Siewert / 350 \\
                 Curing Those Uncontrollable Fits of Interaction / Don
                 Libes / 353 \\
                 Baldrige Criteria for Performance Excellence / Curt
                 Reimann and Debbie Smyth / 357 \\
                 The Advanced Technology Program / Robert Sienkiewicz
                 and Richard N. Spivack / 359 \\
                 NIST Manufacturing Extension Partnership / Anita
                 O'Brien / 363 \\
                 Questions and Answers on Quality / Maureen Breitenberg
                 / 366 \\
                 Uniformity in Weights and Measures Laws and Regulations
                 / Joan Koenig / 368 \\
                 Certification of 10 $\mu$m Diameter Polystyrene Spheres
                 (``Space Beads'') / Tom Lettieri / 371 \\
                 Bose--Einstein Condensation in a Dilute Atomic Vapor /
                 James Faller / 375 \\
                 Index / David R. Lide / 379",
}

@Proceedings{Jeltsch:2008:ICI,
  editor =       "Rolf Jeltsch and Gerhard Wanner",
  booktitle =    "{6th International congress on industrial and applied
                 mathematics, ICIAM 07, Z{\"u}rich, Switzerland,
                 16-20.07.2007}",
  title =        "{6th International congress on industrial and applied
                 mathematics, ICIAM 07, Z{\"u}rich, Switzerland,
                 16-20.07.2007}",
  publisher =    "European Mathematical Society Publishing House",
  address =      "Z{\"u}rich, Switzerland",
  pages =        "xlvi + 483",
  year =         "2008",
  DOI =          "https://doi.org/10.4171/056",
  ISBN =         "3-03719-056-6, 3-03719-556-8 (e-book)",
  ISBN-13 =      "978-3-03719-056-2, 978-3-03719-556-7 (e-book)",
  LCCN =         "QA1 .I73 2007",
  bibdate =      "Wed Aug 26 11:52:20 MDT 2020",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
  acknowledgement = ack-nhfb,
  tableofcontents = "ICIAM Congresses / ix \\
                 ICIAM Prize Winners / xi \\
                 Organization of the Congress / xiii \\
                 List of Sponsors / xxi \\
                 Opening Ceremony / xxxi \\
                 Presentation of the ICIAM Prizes by Ian Sloan, Chair of
                 the Prize Committee / xxxvii \\
                 Invited Lectures \\
                 Gr{\'e}goire Allaire, Fran{\c{c}}ois Jouve and Nicolas
                 Van Goethem / A level set method for the numerical
                 simulation of damage evolution / 3 \\
                 Christian Ebenbauer, Tobias Raff and Frank Allg{\"o}wer
                 / Dissipation inequalities in systems theory: An
                 introduction and recent results / 23 \\
                 Luis A. Caffarelli / Some nonlinear problems involving
                 non-local diffusions / 43 \\
                 Claudio Canuto / High-order methods for PDEs: Recent
                 advances and new perspectives / 57 \\
                 Margaret Cheney / Radar imaging / 89 \\
                 Albert Cohen / Adaptive approximations by greedy
                 algorithms / 99 \\
                 Weinan E / Multiscale analysis of density functional
                 theory / 133 \\
                 Michel Fortin, Carl Robitaille, Andr{\'e} Fortin and
                 Ali Rezgui / Frictional contact in solid mechanics /
                 131 \\
                 Roland Glowinski / Numerical methods for fully
                 nonlinear elliptic equations / 155 \\
                 Hitoshi Ishii / Asymptotic solutions of
                 Hamilton--Jacobi equations for large time and related
                 topics / 193 \\
                 Barbara Lee Keyfitz / Hyperbolic conservation laws.
                 Past and future / 219 \\
                 Robert V. Kohn and Sylvia Serfaty / Second-order PDE's
                 and deterministic games / 239 \\
                 Tatsien Li / Controllability and observability: From
                 ODEs to quasilinear hyperbolic systems / 251 \\
                 Jos{\'e} Mario Mart{\'\i}nez / Order-value optimization
                 and new applications / 279 \\
                 Christof Sch{\"u}tte, Frank Noe, Eike Meerbach, Philipp
                 Metzner and Carsten Hartmann / Conformation dynamics /
                 297 \\
                 Alexandros Beskos and Andrew Stuart / MCMC methods for
                 sampling function space / 337 \\
                 Ichiro Tsuda / Chaotic itinerancy reality in the
                 dynamic brain--episodic memory formation / 365 \\
                 Gunther Uhlmann / Visibility and invisibility / 381 \\
                 Jinchao Xu / Optimal algorithms for discretized partial
                 differential equations / 409 \\
                 Euler Special Lecture: Walter Gautschi / Leonhard
                 Euler: His life, the man, and his works / 447",
}

@Book{Gautschi:2011:ACH,
  editor =       "Walter Gautschi and Giuseppe Mastroianni and
                 Themistocles M. Rassias",
  booktitle =    "Approximation and Computation: In Honor of {Gradimir
                 V. Milovanovi{\'c}}",
  title =        "Approximation and Computation: In Honor of {Gradimir
                 V. Milovanovi{\'c}}",
  volume =       "42",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xviii + 482",
  year =         "2011",
  DOI =          "https://doi.org/10.1007/978-1-4419-6594-3",
  ISBN =         "1-4419-6593-9 (paperback), 1-4419-6594-7 (e-book),
                 1-4419-6595-5, 1-4614-2703-7",
  ISBN-13 =      "978-1-4419-6593-6 (paperback), 978-1-4419-6594-3
                 (e-book), 978-1-4419-6595-0, 978-1-4614-2703-2",
  LCCN =         "QA39.2 .A67 2011; QA221 .A6345 2011",
  bibdate =      "Thu Jan 9 18:51:01 MST 2020",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Springer Optimization and Its Applications",
  abstract =     "Approximation theory and numerical analysis are
                 central to the creation of accurate computer
                 simulations and mathematical models. Research in these
                 areas can influence the computational techniques used
                 in a variety of mathematical and computational
                 sciences. This collection of contributed chapters,
                 dedicated to the renowned mathematician Gradimir V.
                 Milovanovi{\'c}, represent the recent work of experts
                 in the fields of approximation theory and numerical
                 analysis. These invited contributions describe new
                 trends in these important areas of research including
                 theoretic developments, new computational algorithms,
                 and multidisciplinary applications. Special features of
                 this volume: --- Presents results and approximation
                 methods in various computational settings including
                 polynomial and orthogonal systems, analytic functions,
                 and differential equations. --- Provides a historical
                 overview of approximation theory and many of its
                 subdisciplines. --- Contains new results from diverse
                 areas of research spanning mathematics, engineering,
                 and the computational sciences.
                 ``\booktitle{Approximation and Computation}'' is
                 intended for mathematicians and researchers focusing on
                 approximation theory and numerical analysis, but can
                 also be a valuable resource to students and researchers
                 in engineering and other computational and applied
                 sciences.",
  acknowledgement = ack-nhfb,
  subject =      "Inform{\`a}tica; Matem{\`a}tica; Models
                 estoc{\`a}stics",
  tableofcontents = "Cont{\'e}: Part I Introduction. \\
                 The Scientific Work of Gradimir V. Milovanovi{\'c}
                 (Aleksandar Ivi{\'c}) \\
                 My Collaboration with Gradimir V. Milovanovi{\'c}
                 (Walter Gautschi) \\
                 On Some Major Trends in Mathematics (Themistocles M.
                 Rassias) \\
                 Part II Polynomials and Orthogonal Systems \\
                 An Application of Sobolev Orthogonal Polynomials to the
                 Computation of a Special Hankel Determinant (Paul
                 Barry, Predrag M. Rajkovi{\'c} and Marko D.
                 Petkovi{\'c}) \\
                 Extremal Problems for Polynomials in the Complex Plane
                 (Borislav Bojanov) \\
                 Energy of Graphs and Orthogonal Matrices (V.
                 Bo{\v{z}}in and M. Mateljevi{\'c}) \\
                 Interlacing Property of Zeros of Shifted Jacobi
                 Polynomials (Aleksandar S. Cvetkovi{\'c}) \\
                 Trigonometric Orthogonal Systems (Aleksandar S.
                 Cvetkovi{\'c} and Marija P. Stani{\'c}) \\
                 Experimental Mathematics Involving Orthogonal
                 Polynomials (Walter Gautschi) \\
                 Compatibility of Continued Fraction Convergents with
                 Pad{\'e} Approximants (Jacek Gilewicz and Rados{\l}aw
                 Jedynak) \\
                 Orthogonal Decomposition of Fractal Sets (Ljubi{\v{s}}a
                 M. Koci{\'c}, Sonja Gegovska Zajkova, Elena
                 Baba{\v{c}}e) \\
                 Positive Trigonometric Sums and Starlike Functions
                 (Stamatis Koumandos) \\
                 Part III Quadrature Formulae. \\
                 Quadrature Rules for Unbounded Intervals and Their
                 Application to Integral Equations (G. Monegato, L.
                 Scuderi) \\
                 Gauss-Type Quadrature Formulae for Parabolic Splines
                 with Equidistant Knots (Geno Nikolov and Corina Simian)
                 \\
                 Approximation of the Hilbert Transform on the Real Line
                 Using Freud Weights (Incoronata Notarangelo) \\
                 The Remainder Term of Gauss--Tu\'ran Quadratures for
                 Analytic Functions (Miodrag M. Spalevi{\'c} and
                 Miroslav S. Prani{\'c}) \\
                 Towards a General Error Theory of the Trapezoidal Rule
                 (J{\"o}rg Waldvogel) \\
                 Part IV Differential Equations \\
                 Finite Difference Method for a Parabolic Problem with
                 Concentrated Capacity and Time-Dependent Operator
                 (Dejan R. Bojovi{\'c} and Bo{\v{s}}ko S. Jovanovi{\'c})
                 \\
                 Adaptive Finite Element Approximation of the
                 Francfort--Marigo Model of Brittle Fracture (Siobhan
                 Burke, Christoph Ortner and Endre S{\"u}li) \\
                 A Nystr{\"o}m Method for Solving a Boundary Value
                 Problems on $[0, \infty)$ (Carmelina Frammartino) \\
                 Finite Difference Approximation of a Hyperbolic
                 Transmission Problem (Bo{\v{s}}ko S. Jovanovi{\'c}) \\
                 Homeomorphisms and Fredholm Theory for Perturbations of
                 Nonlinear Fredholm Maps of Index Zero and of AProper
                 Maps with Applications (P. S. Milojevi{\'c}) \\
                 Singular Support and FLq Continuity of
                 Pseudodifferential Operators (Stevan Pilipovi{\'c},
                 Nenad Teofanov and Joachim Toft) \\
                 On a Class of Matrix Differential Equations with
                 Polynomial Coefficients (Boro M. Piperevski) \\
                 Part V Applications \\
                 Optimized Algorithm for Petviashvili?s Method for
                 Finding Solitons in Photonic Lattices (Raka
                 Jovanovi{\'c} and Milan Tuba) \\
                 Explicit Method for the Numerical Solution of the
                 Fokker--Planck Equation of Filtered Phase Noise (Dejan
                 Mili{\'c}) \\
                 Numerical Method for Computer Study of Liquid Phase
                 Sintering: Densification Due to Gravity-Induced
                 Skeletal Settling (Zoran S. Nikoli{\'c}) \\
                 Computer Algebra and Line Search (Predrag
                 Stanimirovi{\'c}, Marko Miladinovi{\'c} and Ivan M.
                 Jovanovi{\'c}) \\
                 Roots of AG bands (Neboj{\v{s}}a Stevanovi{\'c} and
                 Petar V. Proti{\'c}) \\
                 Context Hidden Markov Model for Named Entity
                 Recognition (Branimir T. Todorovi{\'c}, Svetozar R.
                 Ran{\v{c}}i{\'c}, Edin H. Mulali{\'c}) \\
                 On the Interpolating Quadratic Spline (Zlatko Udovi\v
                 ci{\'c}) \\
                 Visualization of Infinitesimal Bending of Curves
                 (Ljubica S. Velimirovi{\'c}, Svetozar R.
                 Ran{\v{c}}i{\'c}, Milan Lj. Zlatanovi{\'c})",
}

@Book{Brezinski:2013:WGV,
  author =       "Claude Brezinski and Ahmed Sameh",
  booktitle =    "{Walter Gautschi}, Volume 1: Selected Works with
                 Commentaries",
  title =        "{Walter Gautschi}, Volume 1: Selected Works with
                 Commentaries",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xi + 694 + 50",
  year =         "2013",
  DOI =          "https://doi.org/10.1007/978-1-4614-7034-2",
  ISBN =         "1-4614-7033-1, 1-4614-7034-X",
  ISBN-13 =      "978-1-4614-7033-5, 978-1-4614-7034-2",
  MRclass =      "65-03 (01A75 33-03)",
  MRnumber =     "3309119",
  LCCN =         "QA297",
  bibdate =      "Thu Jan 9 19:14:41 MST 2020",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Contemporary Mathematicians",
  URL =          "http://site.ebrary.com/id/10787871",
  abstract =     "Walter Gautschi has written extensively on topics
                 ranging from special functions, quadrature and
                 orthogonal polynomials to difference and differential
                 equations, software implementations, and the history of
                 mathematics. He is world renowned for his pioneering
                 work in numerical analysis and constructive orthogonal
                 polynomials, including a definitive textbook in the
                 former, and a monograph in the latter area.",
  acknowledgement = ack-nhfb,
  subject =      "Gautschi, Walter; Gautschi, Walter,; Mathematical
                 analysis; Numerical analysis; Mathematical analysis.;
                 Numerical analysis.",
  subject-dates = "1927--",
  tableofcontents = "Preface \\
                 Part I Walter Gautschi \\
                 Biography of Walter Gautschi \\
                 A brief summary of my scientific work and highlights of
                 my career \\
                 Publications \\
                 Part II Commentaries \\
                 Numerical conditioning \\
                 Special functions \\
                 Interpolation and approximation \\
                 Part III Reprints \\
                 Numerical conditioning \\
                 Special functions \\
                 Interpolation and approximation",
}

@Book{Brezinski:2014:WGVa,
  editor =       "Claude Brezinski and Ahmed Sameh",
  booktitle =    "{Walter Gautschi}. Volume 2: selected works with
                 commentaries",
  title =        "{Walter Gautschi}. Volume 2: selected works with
                 commentaries",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "xiii + 914 + 33",
  year =         "2014",
  DOI =          "https://doi.org/10.1007/978-1-4614-7049-6",
  ISBN =         "1-4614-7048-X, 1-4614-7049-8 (e-book)",
  MRclass =      "65-03 (01A75 33-03 65D30)",
  MRnumber =     "3309120",
  ISBN-13 =      "978-1-4614-7048-9, 978-1-4614-7049-6 (e-book)",
  LCCN =         "QA404.5",
  bibdate =      "Thu Jan 9 19:16:48 MST 2020",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Contemporary mathematicians",
  URL =          "http://link.springer.com/10.1007/978-1-4614-7049-6",
  abstract =     "Walter Gautschi has written extensively on topics
                 ranging from special functions, quadrature and
                 orthogonal polynomials to difference and differential
                 equations, software implementations, and the history of
                 mathematics. He is world renowned for his pioneering
                 work in numerical analysis and constructive orthogonal
                 polynomials, including a definitive textbook in the
                 former, and a monograph in the latter area. This
                 three-volume set, Walter Gautschi: Selected Works with
                 Commentaries, is a compilation of Gautschis most
                 influential papers and includes commentaries by leading
                 experts. The work begins with a detailed biographical
                 section and ends with a section commemorating Walters
                 prematurely deceased twin brother. This title will
                 appeal to graduate students and researchers in
                 numerical analysis, as well as to historians of
                 science. Selected Works with Commentaries, Vol. 1
                 Numerical Conditioning Special Functions Interpolation
                 and Approximation Selected Works with Commentaries,
                 Vol. 2 Orthogonal Polynomials on the Real Line
                 Orthogonal Polynomials on the Semicircle Chebyshev
                 Quadrature Kronrod and Other Quadratures Gauss-type
                 Quadrature Selected Works with Commentaries, Vol. 3
                 Linear Difference Equations Ordinary Differential
                 Equations Software History and Biography Miscellanea
                 Works of Werner Gautschi.",
  acknowledgement = ack-nhfb,
  subject =      "Gautschi, Walter; Orthogonal polynomials; Numerical
                 integration; Mathematics; Numerical Analysis",
  subject-dates = "1927--",
  tableofcontents = "Part I: Commentaries \\
                 Orthogonal polynomials on the real line / Gradimir V.
                 Milovanovi{\'c} \\
                 Polynomials orthogonal on the semicircle / Lothar
                 Reichel \\
                 Chebyshev quadrature / Jaap Korevaar \\
                 Kronrod and other quadratures / Giovanni Monegato \\
                 Gauss-type quadrature / Walter Van Assche \\
                 Part II: Reprints \\
                 Papers on Orthogonal Polynomials on the Real Line /
                 Walter Gautschi \\
                 Papers on Orthogonal Polynomials on the Semicircle /
                 Walter Gautschi \\
                 Papers on Chebyshev Quadrature / Walter Gautschi \\
                 Papers on Kronrod and Other Quadratures / Walter
                 Gautschi \\
                 Papers on Gauss-type Quadrature / Walter Gautschi",
}

@Book{Brezinski:2014:WGVb,
  editor =       "Claude Brezinski and Ahmed Sameh",
  booktitle =    "{Walter Gautschi}. Volume 3: selected works with
                 commentaries",
  title =        "{Walter Gautschi}. Volume 3: selected works with
                 commentaries",
  MRclass =      "65-03 (01A75 33-03 65Lxx)",
  MRnumber =     "3309121",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "xi + 767 + 91 + 29",
  year =         "2014",
  DOI =          "https://doi.org/10.1007/978-1-4614-7132-5",
  ISBN =         "1-4614-7131-1, 1-4614-7132-X (e-book)",
  ISBN-13 =      "978-1-4614-7131-8, 978-1-4614-7132-5 (e-book)",
  LCCN =         "QA431",
  bibdate =      "Thu Jan 9 19:20:40 MST 2020",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Contemporary mathematicians",
  URL =          "http://link.springer.com/10.1007/978-1-4614-7132-5",
  abstract =     "Walter Gautschi has written extensively on topics
                 ranging from special functions, quadrature and
                 orthogonal polynomials to difference and differential
                 equations, software implementations, and the history of
                 mathematics. He is world renowned for his pioneering
                 work in numerical analysis and constructive orthogonal
                 polynomials, including a definitive textbook in the
                 former, and a monograph in the latter area. This
                 three-volume set, Walter Gautschi: Selected Works with
                 Commentaries, is a compilation of Gautschis most
                 influential papers and includes commentaries by leading
                 experts. The work begins with a detailed biographical
                 section and ends with a section commemorating Walters
                 prematurely deceased twin brother. This title will
                 appeal to graduate students and researchers in
                 numerical analysis, as well as to historians of
                 science. Selected Works with Commentaries, Vol. 1
                 Numerical Conditioning Special Functions Interpolation
                 and Approximation Selected Works with Commentaries,
                 Vol. 2 Orthogonal Polynomials on the Real Line
                 Orthogonal Polynomials on the Semicircle Chebyshev
                 Quadrature Kronrod and Other Quadratures Gauss-type
                 Quadrature Selected Works with Commentaries, Vol. 3
                 Linear Difference Equations Ordinary Differential
                 Equations Software History and Biography Miscellanea
                 Works of Werner Gautschi.",
  acknowledgement = ack-nhfb,
  subject =      "Gautschi, Walter; Gautschi, Walter,; Difference
                 equations; Differential equations; Mathematical
                 Computing; MATHEMATICS; Calculus.; Mathematical
                 Analysis.; Difference equations.; Differential
                 equations.",
  subject-dates = "1927--",
  tableofcontents = "Part I: Commentaries \\
                 Linear recurrence relations / Lisa Lorentzen \\
                 Ordinary differential equations / John Butcher \\
                 Computer algorithms and software packages / Gradimir V.
                 Milovanovi{\'c} \\
                 History and biography / Gerhard Wanner \\
                 Miscellanea / Martin J. Gander \\
                 Part II: Reprints \\
                 Papers on Linear Recurrence Relations / Walter Gautschi
                 \\
                 Papers on Ordinary Differential Equations / Walter
                 Gautschi \\
                 Papers on Computer Algorithms and Software Packages /
                 Walter Gautschi \\
                 Papers on History and Biography / Walter Gautschi \\
                 Papers on Miscellanea / Walter Gautschi \\
                 Part III: Werner Gautschi \\
                 Publications / Werner Gautschi \\
                 Obituaries \\
                 Recording / Trout Quintet",
}