creator: Walter Gautschi, 0000-0001-9184-8899 type: dataset date: 2017
10.4231/R7959FHP
Walter Gautschi, 0000-0001-9184-8899
03/29/2017
This is a set of Matlab codes and data files for generating orthogonal polynomials and related quadrature rules.
Computer Science Gauss-type quadrature rules Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Software source code Variable-precision arithmetic Walter Gautschi Archives
10.4231/R7R20ZB7
Walter Gautschi, 0000-0001-9184-8899
01/10/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x)^a*(1+x)^b on [-c,c], c=1/2, a=-1/2, b=1/2
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Sub-range Jacobi polynomials Walter Gautschi Archives weight functions
10.4231/R7M906MW
Walter Gautschi, 0000-0001-9184-8899
01/10/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x ) = (1-x)^a*(1+x)^b on [-1,c], c = 0, a = -1/2, b = 1/2
Computer Science Jacobi weight functions Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Sub-range Jacobi polynomials Walter Gautschi Archives weight functions
10.4231/R7736NWN
Walter Gautschi, 0000-0001-9184-8899
01/10/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(2*mu)*exp(-x^2) on [c,Inf], c=1, mu=0
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Subrange Hermite polynomials Walter Gautschi Archives weight functions
10.4231/R7NC5Z6H
Walter Gautschi, 0000-0001-9184-8899
03/10/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=|x|^c*(1-x)^a*(1+x)^b on [-1,1], a=3/2, b=-1/2, c=-3/4
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7ST7MTX
Walter Gautschi, 0000-0001-9184-8899
03/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=log((1+x)/(1-x)) on [0,1]
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7GH9FZH
Walter Gautschi, 0000-0001-9184-8899
03/22/2017
Matlab routines for the first N recurrence coefficients of associated Legendre polynomials
Computer Science Legendre polynomials Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7BR8Q6R
Walter Gautschi, 0000-0001-9184-8899
03/22/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=-log(1-x^2) on [-1,1]
Computer Science Mathematics Modification algorithms for orthogonal polynomials Modified Chebyshev algorithm Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7XG9P5S
Walter Gautschi, 0000-0001-9184-8899
03/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=log((1+x^(1/2))/(1-x^(1/2))) on [0,1]
Computer Science Gaussian quadrature Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R72805M5
Walter Gautschi, 0000-0001-9184-8899
03/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=E_nu(x) on (0,Inf], nu=1
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
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