32-digit values of the first 100 recurrence coefficients for the lower subrange Binet weight function on [0,c], c=1

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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-exp(-x)) on [0,c], c=1

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Version 4.0 - published on 10 Jan 2018 doi:10.4231/R7QF8R2P - cite this

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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,32,100,1), where dig=528 has been determined by the routine dig_lsrbinet(100,1,520,4,32). 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 seven Matlab scripts.

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