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subject: Modification algorithms for orthogonal polynomials subject: Walter Gautschi Archives

Total is 230 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 weight function w(x)=log(1/x) on [0,1]

10.4231/R7639MQT

Walter Gautschi ORCID logo

03/30/2017

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*[log(1/x)]^b on [0,1], a = 0, b = 1

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

Loading variable-precision recurrence coefficients

10.4231/R7P26W3X

Walter Gautschi ORCID logo

11/22/2016

Loading a text file of variable-precision recurrence coefficients into Matlab symbolic or double-precision arrays

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

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x^4)^(1/2) on [0,1]

10.4231/R7DN432K

Walter Gautschi ORCID logo

11/15/2016

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*(1-x^c)^b on [0,1], a = 0, b = 1/2, c = 4

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

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