Datasets

subject: Mathematics date: 2016

Total is 71 Results
OPCBSPL: Orthogonal polynomials relative to cardinal B-spline weight functions

10.4231/R7NG4NKC

Walter Gautschi, 0000-0001-9184-8899

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, 0000-0001-9184-8899

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

Scripts for the Ismail-Letessier-Askey (ILA) monotonicity conjecture for zeros of ultraspherical polynomials

10.4231/R78G8HNQ

Walter Gautschi, 0000-0001-9184-8899

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

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