32-digit values of the first 100 recurrence coefficients, obtained from moments, for a radiative transfer weight function with parameter c=16/3

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By Walter Gautschi

Purdue University

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-1/x) on [0,c], c=16/3

Version 1.0 - published on 10 Mar 2017 doi:10.4231/R7PC30CQ - cite this Archived on 11 Apr 2017

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)=exp(-1/x) on [0,c], c=16/3, are computed by a moment-based method using the routine sr_radtrans_cheb(dig,32,100,16/3), where dig=180 has been determined by the routine dig_radtrans_cheb(100,16/3,172,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for an arbitrary parameter c > 0 as well as for different precisions.

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

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