Walter Gautschi

Publication Activity (10 Years)

Years Active: 1961-2023
Publications (10 Years): 10

Top Topics

Orthogonal Polynomials

Top Venues

Numer. Algorithms

ACM Trans. Math. Softw.

Publications

Walter Gautschi, Gradimir V. Milovanovic
A Ramanujan integral and its derivatives: computation and analysis. Math. Comput. 93 (347) (2023)
Walter Gautschi
Another look at polynomials orthogonal relative to exponential integral weight functions. Numer. Algorithms 91 (4) (2022)
Walter Gautschi, Gradimir V. Milovanovic
Orthogonal polynomials relative to weight functions of Prudnikov type. Numer. Algorithms 90 (1) (2022)
Walter Gautschi, Gradimir V. Milovanovic
Orthogonal polynomials relative to a generalized Marchenko-Pastur probability measure. Numer. Algorithms 88 (3) (2021)
Walter Gautschi
Correction to: Sub-range Jacobi polynomials. Numer. Algorithms 81 (2) (2019)
Walter Gautschi
On the zeros of subrange Jacobi polynomials. Numer. Algorithms 79 (3) (2018)
Walter Gautschi
Polynomials orthogonal with respect to cardinal B-spline weight functions. Numer. Algorithms 76 (4) (2017)
Walter Gautschi
Monotonicity properties of the zeros of Freud and sub-range Freud polynomials: Analytic and empirical results. Math. Comput. 86 (304) (2017)
Walter Gautschi
Erratum to: Sub-range Jacobi polynomials. Numer. Algorithms 74 (2) (2017)
Walter Gautschi
Algorithm 957: Evaluation of the Repeated Integral of the Coerror Function by Half-Range Gauss-Hermite Quadrature. ACM Trans. Math. Softw. 42 (1) (2016)
Walter Gautschi
Polynomials orthogonal with respect to exponential integrals. Numer. Algorithms 70 (1) (2015)
Walter Gautschi
High-precision Gauss-Turán quadrature rules for Laguerre and Hermite weight functions. Numer. Algorithms 67 (1) (2014)
Walter Gautschi
Neutralizing nearby singularities in numerical quadrature. Numer. Algorithms 64 (3) (2013)
Walter Gautschi
Repeated modifications of orthogonal polynomials by linear divisors. Numer. Algorithms 63 (2) (2013)
Walter Gautschi
Erratum to: Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics. Numer. Algorithms 64 (4) (2013)
Walter Gautschi
Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics. Numer. Algorithms 61 (2) (2012)
Walter Gautschi
Sub-range Jacobi polynomials. Numer. Algorithms 61 (4) (2012)
Walter Gautschi
The Lambert W-functions and some of their integrals: a case study of high-precision computation. Numer. Algorithms 57 (1) (2011)
Walter Gautschi
Remark on "New conjectured inequalities for zeros of Jacobi polynomials" by Walter Gautschi, Numer. Algorithms 50: 293-296 (2009). Numer. Algorithms 57 (4) (2011)
Walter Gautschi
The spiral of Theodorus, numerical analysis, and special functions. J. Comput. Appl. Math. 235 (4) (2010)
Walter Gautschi
Gauss quadrature routines for two classes of logarithmic weight functions. Numer. Algorithms 55 (2-3) (2010)
Walter Gautschi
Variable-precision recurrence coefficients for nonstandard orthogonal polynomials. Numer. Algorithms 52 (3) (2009)
Walter Gautschi
High-order generalized Gauss-Radau and Gauss-Lobatto formulae for Jacobi and Laguerre weight functions. Numer. Algorithms 51 (2) (2009)
Walter Gautschi
On conjectured inequalities for zeros of Jacobi polynomials. Numer. Algorithms 50 (1) (2009)
Walter Gautschi
New conjectured inequalities for zeros of Jacobi polynomials. Numer. Algorithms 50 (3) (2009)
Walter Gautschi, Carla Giordano
Luigi Gatteschi's work on asymptotics of special functions and their zeros. Numer. Algorithms 49 (1-4) (2008)
Walter Gautschi
The numerical evaluation of a challenging integral. Numer. Algorithms 49 (1-4) (2008)
Walter Gautschi
On a conjectured inequality for the largest zero of Jacobi polynomials. Numer. Algorithms 49 (1-4) (2008)
Walter Gautschi
Leonhard Euler: His Life, the Man, and His Works. SIAM Rev. 50 (1) (2008)
Walter Gautschi
A guided tour through my bibliography. Numer. Algorithms 45 (1-4) (2007)
Walter Gautschi, Paul C. Leopardi
Conjectured inequalities for Jacobi polynomials and their largest zeros. Numer. Algorithms 45 (1-4) (2007)
Walter Gautschi
A historical note on Gauss-Kronrod quadrature. Numerische Mathematik 100 (3) (2005)
Walter Gautschi, Frank E. Harris, Nico M. Temme
Expansions of the exponential integral in incomplete gamma functions. Appl. Math. Lett. 16 (7) (2003)
Walter Gautschi
Barycentric formulae for cardinal (SINC-) interpolants by Jean-Paul Berrut. Numerische Mathematik 87 (4) (2001)
Walter Gautschi
High-order Gauss-Lobatto formulae. Numer. Algorithms 25 (1-4) (2000)
Walter Gautschi, Laura Gori, Maria Laura Lo Cascio
Quadrature rules for rational functions. Numerische Mathematik 86 (4) (2000)
Walter Gautschi
Algorithm 793: GQRAT - Gauss quadrature for rational functions. ACM Trans. Math. Softw. 25 (2) (1999)
Walter Gautschi
A note on the recursive calculation of incomplete gamma functions. ACM Trans. Math. Softw. 25 (1) (1999)
Walter Gautschi
Remark on algorithm 726: ORTHPOL - A package of routines for generating orthogonal polynomials and Gauss-type quadrature rules. ACM Trans. Math. Softw. 24 (3) (1998)
Walter Gautschi, Sotirios E. Notaris
Stieltjes polynomials and related quadrature formulae for a class of weight functions. Math. Comput. 65 (215) (1996)
Walter Gautschi, Shikang Li
On quadrature convergence of extended Lagrange interpolation. Math. Comput. 65 (215) (1996)
Walter Gautschi
The work of Philip Rabinowitz on numerical integration. Numer. Algorithms 9 (2) (1995)
Walter Gautschi
Algorithm 726; ORTHPOL - a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules. ACM Trans. Math. Softw. 20 (1) (1994)
Walter Gautschi
Algorithm 542: Incomplete Gamma Functions [S14]. ACM Trans. Math. Softw. 5 (4) (1979)
Walter Gautschi
A Computational Procedure for Incomplete Gamma Functions. ACM Trans. Math. Softw. 5 (4) (1979)
Walter Gautschi
Algorithm 521: Repeated Integrals of the Coerror Function [S15]. ACM Trans. Math. Softw. 3 (3) (1977)
Walter Gautschi
Evaluation of Repeated Integrals of the Coerror Function. ACM Trans. Math. Softw. 3 (3) (1977)
Walter Gautschi
Exponential Integrals [S13] (Algorithm 471). Commun. ACM 16 (12) (1973)
Walter Gautschi
Zur Numerik rekurrenter Relationen. Computing 9 (2) (1972)
Walter Gautschi, Bruce J. Klein
Remark on algorithm 282 [S22] derivatives of ex/x, cos(x)/x, and sin (x)/x. Commun. ACM 13 (1) (1970)
Walter Gautschi, Bruce J. Klein
Recursive computation of certain derivatives&a study of error propagation. Commun. ACM 13 (1) (1970)
Walter Gautschi
Algorithm 363: complex error function [S15]. Commun. ACM 12 (11) (1969)
Walter Gautschi
Remark on algorithm 292 [S22]: regular coulomb wave functions. Commun. ACM 12 (5) (1969)
Walter Gautschi
Algorithms: Algorithm 331: Gaussian quadrature formulas. Commun. ACM 11 (6) (1968)
Walter Gautschi
Algorithm 292: regular Coulomb wave functions. Commun. ACM 9 (11) (1966)
Walter Gautschi
. Commun. ACM 9 (4) (1966)
Walter Gautschi
Algorithms: ACM Algorithm 259: Legendre Functions for arguments larger than one. Commun. ACM 8 (8) (1965)
Walter Gautschi
Certification of algorithm 236 [S17]: Bessel functions of the first kind. Commun. ACM 8 (2) (1965)
Walter Gautschi
Certification of algorithm 222: Incomplete beta function ratios. Commun. ACM 7 (4) (1964)
Walter Gautschi
ACM Algorithm 236: Bessel Functions of the First Kind. Commun. ACM 7 (8) (1964)
Walter Gautschi
Algorithm 222: Incomplete beta functions ratios. Commun. ACM 7 (3) (1964)
Walter Gautschi
Algorithm 221: Gamma functions. Commun. ACM 7 (3) (1964)
Walter Gautschi
Recursive Computation of Certain Integrals. J. ACM 8 (1) (1961)