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

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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^a*exp(-x)*log(1+1/x) on [1,Inf], a=3

Version 1.0 - published on 27 Apr 2017 doi:10.4231/R74Q7S09 - 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 x(x)=x^a*exp(-x)*log(1+1/x) on [1,Inf], a=3, are computed by a 1-component discretization method using the routine sr_explog_inf(32,63), where dig=48 and a=3 have to be entered when prompted by the routine. The value 48 of dig has been determined by the routine dig_explog_inf(63,32,4,32), where a=3 has to be entered when prompted. 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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