subject: Mathematics creator: Walter Gautschi, 0000-0001-9184-8899 type: dataset
Total is 285 Results
32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^4) computed on R by the SOPQ routine sr_freud(100,0,4,32)
10.4231/R7PN93HS
Walter Gautschi, 0000-0001-9184-8899
04/22/2014
32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^4) computed on R by the SOPQ routine sr_freud(100,0,4,32)
Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^6) computed on R by the SOPQ routine sr_freud(100,0,6,32)
10.4231/R7Z60KZ0
Walter Gautschi, 0000-0001-9184-8899
04/22/2014
32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^6) computed on R by the SOPQ routine sr_freud(100,0,6,32)
Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematical Concepts Mathematics OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^8) computed on R by the SOPQ routine sr_freud(100,0,8,32)
10.4231/R7TD9V74
Walter Gautschi, 0000-0001-9184-8899
04/22/2014
32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^8) computed on R by the SOPQ routine sr_freud(100,0,8,32)
Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients relative to the half-range Hermite weight function w(x)=exp(-x^2) on R_{+} computed by the SOPQ routine sr_halfrangehermite(100,32)
10.4231/R7X63JTM
Walter Gautschi, 0000-0001-9184-8899
04/22/2014
32-digit values of the first 100 recurrence coefficients relative to the half-range Hermite weight function w(x)=exp(-x^2) on R_+} computed by the SOPQ routine sr_halfrangehermite(100,32)
Computational methods Computer Science Equation Table Gaussian quadrature Hermite weight function Hilbert Transforms Integral Transforms Mathematics Matlab Numerical integrations OPQ routine Orthogonal polynomials Walter Gautschi Archives
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/R70Z715M
Walter Gautschi, 0000-0001-9184-8899
04/22/2014
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)
Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
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/R79G5JRN
Walter Gautschi, 0000-0001-9184-8899
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
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/R7SF2T39
Walter Gautschi, 0000-0001-9184-8899
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
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, 0000-0001-9184-8899
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, 0000-0001-9184-8899
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, 0000-0001-9184-8899
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
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