32-digit values of the first 100 recurrence coefficients for the upper subrange Binet weight function on [c,Inf], c=1

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By Walter Gautschi

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

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Version 3.0 - published on 24 Oct 2017 doi:10.4231/R7CZ35CV - cite this Archived on 25 Nov 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 [c,Inf], c=1, are computed by a moment-based method using the routine sr_usrbinet_alt(dig,32,100,1), where dig=128 has been determined by the routine dig_usrbinet_alt(100,1,120,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary c, 0 < c < Inf, and for different precisions.

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The dataset consists of one text file and four Matlab scripts. This is a considerably modified version. The matlab scripts sgauss.m and sr_laguerre.m were removed; and scripts smom_usrbinet.m, dig_usrbinet.m, and sr_usrbinet.m were updated.

 
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