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ORCIDWalter Gautschi
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- affiliation: Purdue University, West Lafayette, IN, USA
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Journal Articles
- 2023
[j63]Walter Gautschi, Gradimir V. Milovanovic:
A Ramanujan integral and its derivatives: computation and analysis. Math. Comput. 93(347): 1297-1308 (2023)- 2022
- [j62]Walter Gautschi
, Gradimir V. Milovanovic:
Orthogonal polynomials relative to weight functions of Prudnikov type. Numer. Algorithms 90(1): 263-270 (2022) - [j61]Walter Gautschi:
Another look at polynomials orthogonal relative to exponential integral weight functions. Numer. Algorithms 91(4): 1547-1557 (2022) - 2021
- [j60]Walter Gautschi, Gradimir V. Milovanovic:
Orthogonal polynomials relative to a generalized Marchenko-Pastur probability measure. Numer. Algorithms 88(3): 1233-1249 (2021) - 2019
- [j59]Walter Gautschi:
Correction to: Sub-range Jacobi polynomials. Numer. Algorithms 81(2): 771 (2019) - 2018
- [j58]Walter Gautschi:
On the zeros of subrange Jacobi polynomials. Numer. Algorithms 79(3): 759-768 (2018) - 2017
- [j57]Walter Gautschi:
Monotonicity properties of the zeros of Freud and sub-range Freud polynomials: Analytic and empirical results. Math. Comput. 86(304): 855-864 (2017) - [j56]Walter Gautschi:
Erratum to: Sub-range Jacobi polynomials. Numer. Algorithms 74(2): 637 (2017) - [j55]Walter Gautschi:
Polynomials orthogonal with respect to cardinal B-spline weight functions. Numer. Algorithms 76(4): 1099-1107 (2017) - 2016
- [j54]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): 9:1-9:10 (2016) - 2015
- [j53]Walter Gautschi:
Polynomials orthogonal with respect to exponential integrals. Numer. Algorithms 70(1): 215-226 (2015) - 2014
- [j52]Walter Gautschi:
High-precision Gauss-Turán quadrature rules for Laguerre and Hermite weight functions. Numer. Algorithms 67(1): 59-72 (2014) - 2013
- [j51]Walter Gautschi:
Repeated modifications of orthogonal polynomials by linear divisors. Numer. Algorithms 63(2): 369-383 (2013) - [j50]Walter Gautschi:
Neutralizing nearby singularities in numerical quadrature. Numer. Algorithms 64(3): 417-425 (2013) - [j49]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): 759 (2013) - 2012
- [j48]Walter Gautschi:
Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics. Numer. Algorithms 61(2): 275-290 (2012) - [j47]Walter Gautschi:
Sub-range Jacobi polynomials. Numer. Algorithms 61(4): 649-657 (2012) - 2011
- [j46]Walter Gautschi:
The Lambert W-functions and some of their integrals: a case study of high-precision computation. Numer. Algorithms 57(1): 27-34 (2011) - [j45]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): 511 (2011) - 2010
- [j44]Walter Gautschi:
The spiral of Theodorus, numerical analysis, and special functions. J. Comput. Appl. Math. 235(4): 1042-1052 (2010) - [j43]Walter Gautschi:
Gauss quadrature routines for two classes of logarithmic weight functions. Numer. Algorithms 55(2-3): 265-277 (2010) - 2009
- [j42]Walter Gautschi:
On conjectured inequalities for zeros of Jacobi polynomials. Numer. Algorithms 50(1): 93-96 (2009) - [j41]Walter Gautschi:
New conjectured inequalities for zeros of Jacobi polynomials. Numer. Algorithms 50(3): 293-296 (2009) - [j40]Walter Gautschi:
High-order generalized Gauss-Radau and Gauss-Lobatto formulae for Jacobi and Laguerre weight functions. Numer. Algorithms 51(2): 143-149 (2009) - [j39]Walter Gautschi:
Variable-precision recurrence coefficients for nonstandard orthogonal polynomials. Numer. Algorithms 52(3): 409-418 (2009) - 2008
- [j38]Walter Gautschi, Carla Giordano:
Luigi Gatteschi's work on asymptotics of special functions and their zeros. Numer. Algorithms 49(1-4): 11-31 (2008) - [j37]Walter Gautschi:
The numerical evaluation of a challenging integral. Numer. Algorithms 49(1-4): 187-194 (2008) - [j36]Walter Gautschi:
On a conjectured inequality for the largest zero of Jacobi polynomials. Numer. Algorithms 49(1-4): 195-198 (2008) - [j35]Walter Gautschi:
Leonhard Euler: His Life, the Man, and His Works. SIAM Rev. 50(1): 3-33 (2008) - 2007
- [j34]Walter Gautschi:
A guided tour through my bibliography. Numer. Algorithms 45(1-4): 11-35 (2007) - [j33]Walter Gautschi, Paul C. Leopardi:
Conjectured inequalities for Jacobi polynomials and their largest zeros. Numer. Algorithms 45(1-4): 217-230 (2007) - 2005
- [j32]Walter Gautschi:
A historical note on Gauss-Kronrod quadrature. Numerische Mathematik 100(3): 483-484 (2005) - 2003
- [j31]Walter Gautschi, Frank E. Harris, Nico M. Temme:
Expansions of the exponential integral in incomplete gamma functions. Appl. Math. Lett. 16(7): 1095-1099 (2003) - 2001
- [j30]Walter Gautschi:
Barycentric formulae for cardinal (SINC-) interpolants by Jean-Paul Berrut. Numerische Mathematik 87(4): 791-792 (2001) - 2000
- [j29]Walter Gautschi:
High-order Gauss-Lobatto formulae. Numer. Algorithms 25(1-4): 213-222 (2000) - [j28]Walter Gautschi, Laura Gori, Maria Laura Lo Cascio:
Quadrature rules for rational functions. Numerische Mathematik 86(4): 617-633 (2000) - 1999
- [j27]Walter Gautschi:
A note on the recursive calculation of incomplete gamma functions. ACM Trans. Math. Softw. 25(1): 101-107 (1999) - [j26]Walter Gautschi:
Algorithm 793: GQRAT - Gauss quadrature for rational functions. ACM Trans. Math. Softw. 25(2): 213-239 (1999) - 1998
- [j25]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): 355-356 (1998) - 1996
- [j24]Walter Gautschi, Shikang Li:
On quadrature convergence of extended Lagrange interpolation. Math. Comput. 65(215): 1249-1256 (1996) - [j23]Walter Gautschi, Sotirios E. Notaris:
Stieltjes polynomials and related quadrature formulae for a class of weight functions. Math. Comput. 65(215): 1257-1268 (1996) - 1995
- [j22]Walter Gautschi:
The work of Philip Rabinowitz on numerical integration. Numer. Algorithms 9(2): 199-222 (1995) - 1994
- [j21]Walter Gautschi:
Algorithm 726; ORTHPOL - a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules. ACM Trans. Math. Softw. 20(1): 21-62 (1994) - 1979
- [j20]Walter Gautschi:
A Computational Procedure for Incomplete Gamma Functions. ACM Trans. Math. Softw. 5(4): 466-481 (1979) - [j19]Walter Gautschi:
Algorithm 542: Incomplete Gamma Functions [S14]. ACM Trans. Math. Softw. 5(4): 482-489 (1979) - 1977
- [j18]Walter Gautschi:
Evaluation of Repeated Integrals of the Coerror Function. ACM Trans. Math. Softw. 3(3): 240-252 (1977) - [j17]Walter Gautschi:
Algorithm 521: Repeated Integrals of the Coerror Function [S15]. ACM Trans. Math. Softw. 3(3): 301-302 (1977) - 1973
- [j16]Walter Gautschi:
Exponential Integrals [S13] (Algorithm 471). Commun. ACM 16(12): 761-763 (1973) - 1972
- [j15]Walter Gautschi:
Zur Numerik rekurrenter Relationen. Computing 9(2): 107-126 (1972) - 1970
- [j14]Walter Gautschi, Bruce J. Klein:
Recursive computation of certain derivatives&a study of error propagation. Commun. ACM 13(1): 7-9 (1970) - [j13]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): 53-54 (1970) - 1969
- [j12]Walter Gautschi:
Remark on algorithm 292 [S22]: regular coulomb wave functions. Commun. ACM 12(5): 280 (1969) - [j11]Walter Gautschi:
Algorithm 363: complex error function [S15]. Commun. ACM 12(11): 635 (1969) - 1968
- [j10]Walter Gautschi:
Algorithms: Algorithm 331: Gaussian quadrature formulas. Commun. ACM 11(6): 432-436 (1968) - 1966
- [j9]Walter Gautschi:
Algorithm 282: Derivatives of ex/x, cos (x)/x, AND sin (x)/x. Commun. ACM 9(4): 272 (1966) - [j8]Walter Gautschi:
Algorithm 292: regular Coulomb wave functions. Commun. ACM 9(11): 793-795 (1966) - 1965
- [j7]Walter Gautschi:
Certification of algorithm 236 [S17]: Bessel functions of the first kind. Commun. ACM 8(2): 105-106 (1965) - [j6]Walter Gautschi:
Algorithms: ACM Algorithm 259: Legendre Functions for arguments larger than one. Commun. ACM 8(8): 488-492 (1965) - 1964
- [j5]Walter Gautschi:
Algorithm 221: Gamma functions. Commun. ACM 7(3): 143 (1964) - [j4]Walter Gautschi:
Algorithm 222: Incomplete beta functions ratios. Commun. ACM 7(3): 143 (1964) - [j3]Walter Gautschi:
Certification of algorithm 222: Incomplete beta function ratios. Commun. ACM 7(4): 244 (1964) - [j2]Walter Gautschi:
ACM Algorithm 236: Bessel Functions of the First Kind. Commun. ACM 7(8): 479-480 (1964) - 1961
- [j1]Walter Gautschi:
Recursive Computation of Certain Integrals. J. ACM 8(1): 21-40 (1961)
Parts in Books or Collections
- 2007
- [p1]Walter Gautschi:
Commentary. Milestones in Matrix Computation 2007: 345-358
Coauthor Index
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