32-digit values of the first 100 recurrence coefficients for a logarithmic weight function with rational argument

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By Walter Gautschi

Purdue University

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

Version 1.0 - published on 23 Mar 2017 doi:10.4231/R7ST7MTX - cite this Archived on 24 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)=log((1+x)/(1-x)) on [0,1] are computed by a moment-based method using the routine sr_(dig,32,100), where dig=180 has been determined by the routine dig_slograt(100,172,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for any desired precision. It requires Matlab release R2011b or later.

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The dataset consists of one text file and four Matlab scripts. The scripts require Matlab release R2011b or later.

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