Walter Gautschi

According to our database, Walter Gautschi authored at least 64 papers between 1961 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2023

A Ramanujan integral and its derivatives: computation and analysis.

Walter Gautschi, Gradimir V. Milovanovic

Math. Comput., October, 2023

2022

Orthogonal polynomials relative to weight functions of Prudnikov type.

Walter Gautschi, Gradimir V. Milovanovic

Numer. Algorithms, 2022

Another look at polynomials orthogonal relative to exponential integral weight functions.

Walter Gautschi

Numer. Algorithms, 2022

2021

Orthogonal polynomials relative to a generalized Marchenko-Pastur probability measure.

Walter Gautschi, Gradimir V. Milovanovic

Numer. Algorithms, 2021

2019

Correction to: Sub-range Jacobi polynomials.

Walter Gautschi

Numer. Algorithms, 2019

2018

On the zeros of subrange Jacobi polynomials.

Walter Gautschi

Numer. Algorithms, 2018

2017

Polynomials orthogonal with respect to cardinal B-spline weight functions.

Walter Gautschi

Numer. Algorithms, 2017

Erratum to: Sub-range Jacobi polynomials.

Walter Gautschi

Numer. Algorithms, 2017

Monotonicity properties of the zeros of Freud and sub-range Freud polynomials: Analytic and empirical results.

Walter Gautschi

Math. Comput., 2017

2016

Algorithm 957: Evaluation of the Repeated Integral of the Coerror Function by Half-Range Gauss-Hermite Quadrature.

Walter Gautschi

ACM Trans. Math. Softw., 2016

2015

Polynomials orthogonal with respect to exponential integrals.

Walter Gautschi

Numer. Algorithms, 2015

2014

High-precision Gauss-Turán quadrature rules for Laguerre and Hermite weight functions.

Walter Gautschi

Numer. Algorithms, 2014

2013

Erratum to: Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics.

Walter Gautschi

Numer. Algorithms, 2013

Neutralizing nearby singularities in numerical quadrature.

Walter Gautschi

Numer. Algorithms, 2013

Repeated modifications of orthogonal polynomials by linear divisors.

Walter Gautschi

Numer. Algorithms, 2013

2012

Sub-range Jacobi polynomials.

Walter Gautschi

Numer. Algorithms, 2012

Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics.

Walter Gautschi

Numer. Algorithms, 2012

2011

Remark on "New conjectured inequalities for zeros of Jacobi polynomials" by Walter Gautschi, Numer. Algorithms 50: 293-296 (2009).

Walter Gautschi

Numer. Algorithms, 2011

The Lambert W-functions and some of their integrals: a case study of high-precision computation.

Walter Gautschi

Numer. Algorithms, 2011

2010

Gauss quadrature routines for two classes of logarithmic weight functions.

Walter Gautschi

Numer. Algorithms, 2010

The spiral of Theodorus, numerical analysis, and special functions.

Walter Gautschi

J. Comput. Appl. Math., 2010

2009

Variable-precision recurrence coefficients for nonstandard orthogonal polynomials.

Walter Gautschi

Numer. Algorithms, 2009

High-order generalized Gauss-Radau and Gauss-Lobatto formulae for Jacobi and Laguerre weight functions.

Walter Gautschi

Numer. Algorithms, 2009

New conjectured inequalities for zeros of Jacobi polynomials.

Walter Gautschi

Numer. Algorithms, 2009

On conjectured inequalities for zeros of Jacobi polynomials.

Walter Gautschi

Numer. Algorithms, 2009

2008

Leonhard Euler: His Life, the Man, and His Works.

Walter Gautschi

SIAM Rev., 2008

Luigi Gatteschi's work on asymptotics of special functions and their zeros.

Walter Gautschi, Carla Giordano

Numer. Algorithms, 2008

On a conjectured inequality for the largest zero of Jacobi polynomials.

Walter Gautschi

Numer. Algorithms, 2008

The numerical evaluation of a challenging integral.

Walter Gautschi

Numer. Algorithms, 2008

2007

Conjectured inequalities for Jacobi polynomials and their largest zeros.

Walter Gautschi, Paul C. Leopardi

Numer. Algorithms, 2007

A guided tour through my bibliography.

Walter Gautschi

Numer. Algorithms, 2007

Commentary.

Walter Gautschi

Proceedings of the Milestones in Matrix Computation, 2007

2005

A historical note on Gauss-Kronrod quadrature.

Walter Gautschi

Numerische Mathematik, 2005

2003

Expansions of the exponential integral in incomplete gamma functions.

Walter Gautschi, Frank E. Harris, Nico M. Temme

Appl. Math. Lett., 2003

2001

Barycentric formulae for cardinal (SINC-) interpolants by Jean-Paul Berrut.

Walter Gautschi

Numerische Mathematik, 2001

2000

Quadrature rules for rational functions.

Walter Gautschi, Laura Gori, Maria Laura Lo Cascio

Numerische Mathematik, 2000

High-order Gauss-Lobatto formulae.

Walter Gautschi

Numer. Algorithms, 2000

1999

Algorithm 793: GQRAT - Gauss quadrature for rational functions.

Walter Gautschi

ACM Trans. Math. Softw., 1999

A note on the recursive calculation of incomplete gamma functions.

Walter Gautschi

ACM Trans. Math. Softw., 1999

1998

Remark on algorithm 726: ORTHPOL - A package of routines for generating orthogonal polynomials and Gauss-type quadrature rules.

Walter Gautschi

ACM Trans. Math. Softw., 1998

1996

Stieltjes polynomials and related quadrature formulae for a class of weight functions.

Walter Gautschi, Sotirios E. Notaris

Math. Comput., 1996

On quadrature convergence of extended Lagrange interpolation.

Walter Gautschi, Shikang Li

Math. Comput., 1996

1995

The work of Philip Rabinowitz on numerical integration.

Walter Gautschi

Numer. Algorithms, 1995

1994

Algorithm 726; ORTHPOL - a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules.

Walter Gautschi

ACM Trans. Math. Softw., 1994

1979

Algorithm 542: Incomplete Gamma Functions [S14].

Walter Gautschi

ACM Trans. Math. Softw., 1979

A Computational Procedure for Incomplete Gamma Functions.

Walter Gautschi

ACM Trans. Math. Softw., 1979

1977

Algorithm 521: Repeated Integrals of the Coerror Function [S15].

Walter Gautschi

ACM Trans. Math. Softw., 1977

Evaluation of Repeated Integrals of the Coerror Function.

Walter Gautschi

ACM Trans. Math. Softw., 1977

1973

Exponential Integrals [S13] (Algorithm 471).

Walter Gautschi

Commun. ACM, 1973

1972

Zur Numerik rekurrenter Relationen.

Walter Gautschi

Computing, 1972

1970

Remark on algorithm 282 [S22] derivatives of ex/x, cos(x)/x, and sin (x)/x.

Walter Gautschi, Bruce J. Klein

Commun. ACM, 1970

Recursive computation of certain derivatives&a study of error propagation.

Walter Gautschi, Bruce J. Klein

Commun. ACM, 1970

1969

Algorithm 363: complex error function [S15].

Walter Gautschi

Commun. ACM, 1969

Remark on algorithm 292 [S22]: regular coulomb wave functions.

Walter Gautschi

Commun. ACM, 1969

1968

Algorithms: Algorithm 331: Gaussian quadrature formulas.

Walter Gautschi

Commun. ACM, 1968

1966

Algorithm 292: regular Coulomb wave functions.

Walter Gautschi

Commun. ACM, 1966

Algorithm 282: Derivatives of <i>e^x/x, cos (x)/x, </i> AND <i>sin (x)/x</i>.

Walter Gautschi

Commun. ACM, 1966

1965

Algorithms: ACM Algorithm 259: Legendre Functions for arguments larger than one.

Walter Gautschi

Commun. ACM, 1965

Certification of algorithm 236 [S17]: Bessel functions of the first kind.

Walter Gautschi

Commun. ACM, 1965

1964

ACM Algorithm 236: Bessel Functions of the First Kind.

Walter Gautschi

Commun. ACM, 1964

Certification of algorithm 222: Incomplete beta function ratios.

Walter Gautschi

Commun. ACM, 1964

Algorithm 222: Incomplete beta functions ratios.

Walter Gautschi

Commun. ACM, 1964

Algorithm 221: Gamma functions.

Walter Gautschi

Commun. ACM, 1964

1961

Recursive Computation of Certain Integrals.

Walter Gautschi

J. ACM, 1961