PURR Registry

Subject

Creator

Walter Gautschi, 0000-0001-9184-8899 285
Suchuan Dong, 0000-0001-6778-0679 7
Gilles Deleuze 5
Fei Han 1
Monica Prezzi 1
Rodrigo Salgado 1

Type

Dataset 298

Date

2021 3
2020 53
2018 3
2017 128
2016 71
2015 3
2014 37

subject: Mathematics type: dataset

Total is 298 Results

32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^{1/2}(1-x)^{1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,1/2,32)

10.4231/R74Q7RWJ

Walter Gautschi

04/22/2014

32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^1/2}(1-x)^1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,1/2,32)

Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

SOPQ: Symbolic OPQ

10.4231/R7ZG6Q6T

Walter Gautschi

12/30/2015

This includes symbolic versions of some of the more important OPQ routines.

Airy weight function Bose-Einstein distribution Chebyshev-type quadratures Classical weight functions Computer Science Fermi Dirac weight Function Freud weight function Gauss-type quadrature rules Hermite weight function Jacobi weight functions K-Bessel weight function Laguerre weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Perl Script quadrature Software source code Walter Gautschi Archives Walter Gautschi Selected Works

MCD: Matlab programs for computing the Macdonald function for complex orders

10.4231/R7B8562S

Walter Gautschi

04/23/2014

A collection of FORTRAN and Matlab codes and their outputs to compute the Macdonald function for complex orders by numerical quadrature.

complex order Computer Science FORTRAN Gauss quadrature approximation Macdonald function Mathematics Matlab software modified Bessel function Quadrature and cubature formulas Software source code Walter Gautschi Archives

OWF: Matlab programs for computing orthogonal polynomials with respect to densely oscillating and exponentially decaying weight functions

10.4231/R7NK3BZ7

Walter Gautschi

04/23/2014

Software (in Matlab) is developed for computing variable-precision recurrence coefficients for orthogonal polynomials with respect to densely oscillating and exponentially decaying weight functions

Computer Science Densely oscillating weight functions Exponentially decaying weight functions Gaussian quadrature Mathematics Matlab Orthogonal polynomials Walter Gautschi Archives

CHA: Matlab programs for computing a challenging integral

10.4231/R7QJ7F7V

Walter Gautschi

04/23/2014

Matlab and FORTRAN codes to evaluate a densely and wildly oscillatory integral that had been proposed as a computational problem in the SIAM 100-Digit Challenge.

Computer Science FORTRAN Gauss quadrature approximation Jacobi weight functions Mathematics Matlab Numerical Evaluation Orthogonal polynomials Oscillatory integrals Software source code Walter Gautschi Archives

BIJ: Matlab programs for testing and extending Bernstein's Inequality for Jacobi polynomials

10.4231/R7V985Z5

Walter Gautschi

04/23/2014

Bernstein’s inequality for Jacobi polynomials is analyzed here analytically and computationally with regard to validity and sharpness

Bernstein’s inequality Computer Science Erdelyi–Magnus–Nevai conjecture Jacobi polynomials Mathematics Matlab Orthogonal polynomials Sharpness Software source code Walter Gautschi Archives

CIZJP: Matlab programs for conjectured inequalities for zeros of Jacobi polynomials

10.4231/R7KS6PH4

Walter Gautschi

04/23/2014

Inequalities for the largest zero of Jacobi polynomials are here extended to all zeros of Jacobi polynomials, and new relevant conjectures are formulated.

Computer Science Gauss quadrature approximation Inequalities Jacobi polynomials Mathematics Matlab Orthogonal polynomials Walter Gautschi Archives zeros