subject: Mathematics subject: Computer Science
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/R7RN35T0
10/05/2016
INERFC: Evaluation of the Repeated Integrals of the Coerror Function by Half-Range Gauss-Hermite Quadrature
Coerror Function Computer Science Mathematics Mathematics Education Matlab Quadrature and cubature formulas Walter Gautschi Archives
10.4231/R78G8HNQ
10/04/2016
Dataset contains matlab scripts for a paper dealing with the ILA monotonicity property for zeros of ultraspherical polynomials.
Computer Science Mathematics Matlab monotonicity polynomials ultraspherical polynomials Walter Gautschi Archives
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/R79C6VCS
01/30/2017
Matlab routine for the first N recurrence coefficients of Meixner orthogonal polynomials with parameters b and c
Computer Science Mathematics Meixner orthogonal polynomials Modification algorithms for orthogonal polynomials Orthogonal polynomials Variable-precision computation Walter Gautschi Archives weight functions
10.4231/R7X63JXZ
02/03/2017
Matlab routine for the N+1 recurrence coefficients of monic Hahn orthogonal polynomials with parameters N, a, and b
Computer Science Hahn orthogonal polynomials Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Variable-precision computation Walter Gautschi Archives weight functions
10.4231/R7HX19PP
02/03/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-a(x-x0)^2) on [0,Inf], with a=1/2, x0=1
Computer Science gaussian weight function Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Variable-precision computation Walter Gautschi Archives weight functions
10.4231/R7D50JZ8
02/03/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-a(x-x0)^2) on [0,Inf], with a=1/2, x0=-1
Computer Science gaussian weight function Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Variable-precision computation Walter Gautschi Archives weight functions
10.4231/R7F47M3H
01/30/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^d*exp(-b/x^a-c*x^a) on [0,Inf], a=2, b=c=1, d=0
Computer Science Mathematics Modification algorithms for orthogonal polynomials moment-based method Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7SF2T6N
02/03/2017
Matlab routine for the first N recurrence coefficients of Stieltjes-Wigert orthogonal polynomials with parameters σ and m
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Stieltjes-Wigert orthogonal polynomials Variable-precision computation Walter Gautschi Archives weight functions
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