32-digit values of the first 100 recurrence coefficients for lower subrange Jacobi polynomials

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By Walter Gautschi

Purdue University

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

Version 1.0 - published on 10 Jan 2017 doi:10.4231/R7M906MW - cite this Archived on 13 Dec 2016

Licensed under Attribution 3.0 Unported

Description

32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=(1-x)^a*(1+x)^b on [-1,c], c=0, a=-1/2, b=1/2, are computed by a 2-component discretization procedure using the routine sr_lower_subrange_jacobi(32,100) with (global) input parameters dig=34, c=0, a=-1/2, b=1/2. For details concerning the discretization, see Section 2 in Walter Gautschi, "Sub-range Jacobi polynomials", Numerical algorithms 61 (2012), 649-657. doi: 10.1007/s11075-012-9556-z. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary parameters -1 < c < 1, a > -1, b > -1 and for different precisions.

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The dataset consists of one text file and five Matlab scripts.

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