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subject: Modification algorithms for orthogonal polynomials subject: Orthogonal polynomials date: 2016

Total is 51 Results
OPCBSPL: Orthogonal polynomials relative to cardinal B-spline weight functions

10.4231/R7NG4NKC

Walter Gautschi ORCID logo

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

32-digit values of the first 100 recurrence coefficients for an Airy weight function

10.4231/R7V122R6

Walter Gautschi ORCID logo

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

32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac-type weight function with exponent r=2

10.4231/R77S7KR9

Walter Gautschi ORCID logo

12/09/2016

32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=[1/(exp(x)+1)]^r on [0,Inf], r=2

Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac-type weight function with exponent r=4

10.4231/R708639Z

Walter Gautschi ORCID logo

12/09/2016

32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=[1/(exp(x)+1)]^r on [0,Inf], r=4

Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

Jacobi polynomials

10.4231/R7PR7SZ5

Walter Gautschi ORCID logo

12/15/2016

Matlab routines for the first N recurrence coefficients of Jacobi polynomials

Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

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