subject: Orthogonal polynomials date: 2017
Total is 122 Results
OPQ: A Matlab suite of programs for generating orthogonal polynomials and related quadrature rules
10.4231/R7959FHP
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
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=log(1/x) on [0,1]
10.4231/R7639MQT
03/30/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*[log(1/x)]^b on [0,1], a = 0, b = 1
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(1/2)*(1-x^(1/4))^(3/4) on [0,1]
10.4231/R7JD4TR2
01/10/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*(1-x^c)^b on [0,1], a = 1/2, b = 3/4, c = 1/4
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x)^(1/2)*x^(-1/2)*log(1/x) on [0,1]
10.4231/R7PZ56TN
01/10/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x)^a*x^b*log(1/x) on [0,1], a = 1/2, b = -1/2
Computer Science Mathematics Modification algorithms for orthogonal polynomials Modified Chebyshev algorithm Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(-1/2)*exp(-x)*(x-1-log(x)) on [0,Inf] obtained from moments
10.4231/R79P2ZMR
01/10/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*(x-1-log(x)) on [0,Inf], a=-1/2
Computer Science Gaussian quadrature Logarithmic weight functions Mathematics Modification algorithms for orthogonal polynomials Modified Chebyshev algorithm Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients, obtained by discretization, for a radiative transfer weight function with parameter c=2/3
10.4231/R7CF9N35
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-1/x) on [0,c], c=2/3
Computer Science Gauss quadrature rules Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac-type weight function with exponent r=3
10.4231/R7VH5KT8
01/13/2017
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=[1/(exp(x)+1)]^r on [0,Inf], r=3
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the bimodal weight function with parameter ε=1
10.4231/R7BK19B6
01/03/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp[-(x^2-1)^2/(4*ε)] on [-Inf,Inf], ε=1
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the bimodal weight function with parameter ε=.02
10.4231/R7319SWH
01/03/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp[-(x^2-1)^2/(4*ε)] on [-Inf,Inf], ε=.02
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the bimodal weight function with parameter ε=.1
10.4231/R76T0JNX
01/03/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp[-(x^2-1)^2/(4*ε)] on [-Inf,Inf], ε=.1
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
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