subject: Mathematics subject: Modification algorithms for orthogonal polynomials type: dataset
10.4231/R7NG4NKC
10/28/2016
A stable and efficient discretization procedure is developed to compute recurrence coefficients for orthogonal polynomials whose weight function is a polynomial cardinal B-spline of order greater than, or equal to, one.
B-spline Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials polynomials Walter Gautschi Archives weight functions
10.4231/R7V122R6
10/19/2016
32-digit values of the first 100 recurrence coefficients for the (normalized) weight function w(x)=c*x^(-5/6)e^(-x)Ai((3x/2)^(2/3)) on [0,Inf], c=2^(-1/6)*3^(1/6)/pi^(1/2), where Ai is the Airy function
Airy weight function Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives
10.4231/R7ST7MTX
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
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
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
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
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
10.4231/R7P26W4C
03/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*[log(e/x)]^b on [0,1], a=-1/2, b=1
Computer Science Mathematics Modification algorithms for orthogonal polynomials moment-based method Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7WM1BDT
03/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*[log(e/x)]^b on [0,1], a=-1/2, b=2
Computer Science Mathematics Modification algorithms for orthogonal polynomials moment-based method Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7RV0KQJ
03/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*[log(e/x)]^b on [0,1], a=1/2, b=1
Computer Science Mathematics Modification algorithms for orthogonal polynomials moment-based method Orthogonal polynomials Walter Gautschi Archives weight functions
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