32-digit values of the first 63 recurrence coefficients for orthogonal polynomials relative to a weight function on [0,1] containing a logarithmic singularity

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By Walter Gautschi

Purdue University

32-digit values of the first 63 recurrence coefficients for the weight function w(x)=x^3*exp(-x)*log(1+1/x) on [0,1]

Version 1.0 - published on 27 Apr 2017 doi:10.4231/R70Z719D - cite this Archived on 27 May 2017

Licensed under Attribution 3.0 Unported

Description

32-digit values of the first 63 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^a*exp(-x)*log(1+1/x) on [0,1], a=3, are computed by a 1-component discretization method using the routine sr_explog_fin(32,63), where dig=36 and a=3 have to be entered when prompted by the routine. The number 36 of digits has been determined by the routine dig_explog_fin(63,32,4,32). The software provided in this dataset allows generating any number N<=65-ceil(a/2) of recurrence coefficients for any nonnegative integer a, and for any precision of less than, or equal, 32 digits.

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The dataset consists of two text files and eight Matlab scripts.

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