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32-digit values of the first 100 recurrence coefficients for a lower subrange Binet weight function

By Walter Gautschi

Purdue University

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

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Version 2.0 - published on 14 Aug 2017 doi:10.4231/R7T151TH - cite this Archived on 15 Sep 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-exp(-x)) on [0,c], c=1, are computed by a moment-based method using the routine sr_lsrbinet(dig,100,1,32), where dig=528 has been determined by the routine dig_lsrbinet(100,1,520,4,32). The routines in this dataset allow generating the first N recurrence coefficients for any N and to any accuracy, also for lower subrange polynomials orthogonal on [0,c] for any 0 < c < Inf.

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Notes

The dataset consists of one text file and four Matlab scripts. This is an updated and improved dataset.