Walter Gautschi - researchr alias

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2023

A Ramanujan integral and its derivatives: computation and analysisWalter Gautschi, Gradimir V. Milovanovic. moc, 93(347):1297-1308, October 2023. [doi]

2022

Another look at polynomials orthogonal relative to exponential integral weight functionsWalter Gautschi. na, 91(4):1547-1557, 2022. [doi]

Orthogonal polynomials relative to weight functions of Prudnikov typeWalter Gautschi, Gradimir V. Milovanovic. na, 90(1):263-270, 2022. [doi]

2021

Orthogonal polynomials relative to a generalized Marchenko-Pastur probability measureWalter Gautschi, Gradimir V. Milovanovic. na, 88(3):1233-1249, 2021. [doi]

2019

Correction to: Sub-range Jacobi polynomialsWalter Gautschi. na, 81(2):771, 2019. [doi]

2018

On the zeros of subrange Jacobi polynomialsWalter Gautschi. na, 79(3):759-768, 2018. [doi]

2017

Erratum to: Sub-range Jacobi polynomialsWalter Gautschi. na, 74(2):637, 2017. [doi]

Monotonicity properties of the zeros of Freud and sub-range Freud polynomials: Analytic and empirical resultsWalter Gautschi. moc, 86(304):855-864, 2017. [doi]

Polynomials orthogonal with respect to cardinal B-spline weight functionsWalter Gautschi. na, 76(4):1099-1107, 2017. [doi]

2016

Algorithm 957: Evaluation of the Repeated Integral of the Coerror Function by Half-Range Gauss-Hermite QuadratureWalter Gautschi. TOMS, 42(1):9, 2016. [doi]

2015

Polynomials orthogonal with respect to exponential integralsWalter Gautschi. na, 70(1):215-226, 2015. [doi]

2014

High-precision Gauss-Turán quadrature rules for Laguerre and Hermite weight functionsWalter Gautschi. na, 67(1):59-72, 2014. [doi]

2013

Neutralizing nearby singularities in numerical quadratureWalter Gautschi. na, 64(3):417-425, 2013. [doi]

Repeated modifications of orthogonal polynomials by linear divisorsWalter Gautschi. na, 63(2):369-383, 2013. [doi]

Erratum to: Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamicsWalter Gautschi. na, 64(4):759, 2013. [doi]

2012

Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamicsWalter Gautschi. na, 61(2):275-290, 2012. [doi]

Sub-range Jacobi polynomialsWalter Gautschi. na, 61(4):649-657, 2012. [doi]

2011

Remark on New conjectured inequalities for zeros of Jacobi polynomials by Walter Gautschi, Numer. Algorithms 50: 293-296 (2009)Walter Gautschi. na, 57(4):511, 2011. [doi]

The Lambert W-functions and some of their integrals: a case study of high-precision computationWalter Gautschi. na, 57(1):27-34, 2011. [doi]

2010

Gauss quadrature routines for two classes of logarithmic weight functionsWalter Gautschi. na, 55(2-3):265-277, 2010. [doi]

The spiral of Theodorus, numerical analysis, and special functionsWalter Gautschi. jcam, 235(4):1042-1052, 2010. [doi]

2009

On conjectured inequalities for zeros of Jacobi polynomialsWalter Gautschi. na, 50(1):93-96, 2009. [doi]

High-order generalized Gauss-Radau and Gauss-Lobatto formulae for Jacobi and Laguerre weight functionsWalter Gautschi. na, 51(2):143-149, 2009. [doi]

Variable-precision recurrence coefficients for nonstandard orthogonal polynomialsWalter Gautschi. na, 52(3):409-418, 2009. [doi]

New conjectured inequalities for zeros of Jacobi polynomialsWalter Gautschi. na, 50(3):293-296, 2009. [doi]

2008

Luigi Gatteschi s work on asymptotics of special functions and their zerosWalter Gautschi, Carla Giordano. na, 49(1-4):11-31, 2008. [doi]

Leonhard Euler: His Life, the Man, and His WorksWalter Gautschi. siamrev, 50(1):3-33, 2008. [doi]

The numerical evaluation of a challenging integralWalter Gautschi. na, 49(1-4):187-194, 2008. [doi]

On a conjectured inequality for the largest zero of Jacobi polynomialsWalter Gautschi. na, 49(1-4):195-198, 2008. [doi]

2007

CommentaryWalter Gautschi. In Raymond Hon-Fu Chan, Chen Greif, Dianne P. O'Leary, editors, Milestones in Matrix Computation - Selected Works of Gene H. Golub, with Commentaries. pages 345-358, Oxford University Press, 2007.

A guided tour through my bibliographyWalter Gautschi. na, 45(1-4):11-35, 2007. [doi]

Conjectured inequalities for Jacobi polynomials and their largest zerosWalter Gautschi, Paul Leopardi. na, 45(1-4):217-230, 2007. [doi]

2005

A historical note on Gauss-Kronrod quadratureWalter Gautschi. nm, 100(3):483-484, 2005. [doi]

2003

Expansions of the exponential integral in incomplete gamma functionsWalter Gautschi, Frank E. Harris, Nico M. Temme. appml, 16(7):1095-1099, 2003. [doi]

2001

Barycentric formulae for cardinal (SINC-) interpolants by Jean-Paul BerrutWalter Gautschi. nm, 87(4):791-792, 2001. [doi]

2000

High-order Gauss-Lobatto formulaeWalter Gautschi. na, 25(1-4):213-222, 2000. [doi]

Quadrature rules for rational functionsWalter Gautschi, Laura Gori, Maria Laura Lo Cascio. nm, 86(4):617-633, 2000. [doi]

1999

A note on the recursive calculation of incomplete gamma functionsWalter Gautschi. TOMS, 25(1):101-107, 1999. [doi]

Algorithm 793: GQRAT - Gauss quadrature for rational functionsWalter Gautschi. TOMS, 25(2):213-239, 1999. [doi]

1998

Remark on algorithm 726: ORTHPOL - A package of routines for generating orthogonal polynomials and Gauss-type quadrature rulesWalter Gautschi. TOMS, 24(3):355-356, 1998. [doi]

1996

Stieltjes polynomials and related quadrature formulae for a class of weight functionsWalter Gautschi, Sotirios E. Notaris. moc, 65(215):1257-1268, 1996.

On quadrature convergence of extended Lagrange interpolationWalter Gautschi, Shikang Li. moc, 65(215):1249-1256, 1996.

1995

The work of Philip Rabinowitz on numerical integrationWalter Gautschi. na, 9(2):199-222, 1995. [doi]

1994

Algorithm 726; ORTHPOL - a package of routines for generating orthogonal polynomials and Gauss-type quadrature rulesWalter Gautschi. TOMS, 20(1):21-62, 1994. [doi]

1979

A Computational Procedure for Incomplete Gamma FunctionsWalter Gautschi. TOMS, 5(4):466-481, 1979. [doi]

Algorithm 542: Incomplete Gamma Functions [S14]Walter Gautschi. TOMS, 5(4):482-489, 1979. [doi]

1977

Algorithm 521: Repeated Integrals of the Coerror Function [S15]Walter Gautschi. TOMS, 3(3):301-302, 1977. [doi]

Evaluation of Repeated Integrals of the Coerror FunctionWalter Gautschi. TOMS, 3(3):240-252, 1977. [doi]

1973

Exponential Integrals [S13] (Algorithm 471)Walter Gautschi. CACM, 16(12):761-763, 1973.

1972

Zur Numerik rekurrenter RelationenWalter Gautschi. computing, 9(2):107-126, 1972. [doi]

1970

Remark on algorithm 282 [S22] derivatives of ex/x, cos(x)/x, and sin (x)/xWalter Gautschi, Bruce J. Klein. CACM, 13(1):53-54, 1970. [doi]

Recursive computation of certain derivatives&a study of error propagationWalter Gautschi, Bruce J. Klein. CACM, 13(1):7-9, 1970. [doi]

1969

Remark on algorithm 292 [S22]: regular coulomb wave functionsWalter Gautschi. CACM, 12(5):280, 1969. [doi]

Algorithm 363: complex error function [S15]Walter Gautschi. CACM, 12(11):635, 1969. [doi]

1968

Algorithms: Algorithm 331: Gaussian quadrature formulasWalter Gautschi. CACM, 11(6):432-436, 1968. [doi]

1966

Algorithm 292: regular Coulomb wave functionsWalter Gautschi. CACM, 9(11):793-795, 1966. [doi]

Algorithm 282: Derivatives of ::::e:::x:::/x, cos (x)/x, :::: AND ::::sin (x)/x::::Walter Gautschi. CACM, 9(4):272, 1966. [doi]

1965

Certification of algorithm 236 [S17]: Bessel functions of the first kindWalter Gautschi. CACM, 8(2):105-106, 1965. [doi]

Algorithms: ACM Algorithm 259: Legendre Functions for arguments larger than oneWalter Gautschi. CACM, 8(8):488-492, 1965. [doi]

1964

ACM Algorithm 236: Bessel Functions of the First KindWalter Gautschi. CACM, 7(8):479-480, 1964. [doi]

Certification of algorithm 222: Incomplete beta function ratiosWalter Gautschi. CACM, 7(4):244, 1964. [doi]

Algorithm 222: Incomplete beta functions ratiosWalter Gautschi. CACM, 7(3):143, 1964. [doi]

Algorithm 221: Gamma functionsWalter Gautschi. CACM, 7(3):143, 1964. [doi]

1961

Recursive Computation of Certain IntegralsWalter Gautschi. JACM, 8(1):21-40, 1961. [doi]

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