subject: Orthogonal polynomials date: 2017
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
10.4231/R75M63PW
01/30/2017
Matlab routine for the first N recurrence coefficients of Charlier orthogonal polynomials with parameter a
Charlier orthogonal polynomials Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Variable-precision computation 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
10.4231/R7NP22FV
02/03/2017
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 moment-based method Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R74Q7RZF
02/14/2017
Matlab routine for the first N recurrence coefficients of squared Abel polynomials
Abel polynomials Computer Science Mathematics Orthogonal polynomials Subrange Hermite polynomials Variable-precision computation Walter Gautschi Archives weight functions
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