subject: Mathematics subject: Orthogonal polynomials
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/R7JW8BVZ
01/30/2017
Matlab routine for the first N recurrence coefficients of logistic orthogonal polynomials
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Variable-precision computation Walter Gautschi Archives weight functions
10.4231/R71Z42CW
01/30/2017
Matlab routine for the N+1 recurrence coefficients of Kravchuk orthogonal polynomials with parameters N and p
Computer Science Kravchuk orthogonal polynomials Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Variable-precision computation Walter Gautschi Archives weight functions
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
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