subject: Orthogonal polynomials subject: Walter Gautschi Archives
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/R7MW2F3P
02/20/2020
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
10.4231/R7HH6H1D
11/22/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=((1-om2*x^2)*(1-x^2))^(-1/2) on [-1,1], om2=1/2
Chebyshev weight function Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7QN64Q2
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(2*μ)*exp(-x^2) on [c,Inf], c = -1, μ = -1/4
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Subrange Hermite polynomials Walter Gautschi Archives weight functions
10.4231/R7KW5D16
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(2*μ)*exp(-x^2) on [c,Inf], c = -1, μ = 1/4
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Subrange Hermite polynomials Walter Gautschi Archives weight functions
10.4231/R7028PHC
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-x^2) on [c,Inf], c = -√(1/2)
Computer Science Hermite weight function Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R72V2D3Z
01/20/2017
Matlab routine for the first N recurrence coefficients of Abel polynomials
Abel polynomials Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R76M34ST
01/20/2017
Matlab routine for the first N recurrence coefficients of Lindeloef polynomials
Computer Science Lindeloef polynomials Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7BC3WH5
01/20/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=|x|/(exp(2*π*|x|)-1) on [-Inf,Inf]
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
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