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32-digit values of the first 100 recurrence coefficients for an upper subrange Binet weight function

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 2.0 - published on 14 Aug 2017 doi:10.4231/R7JM27SS - 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 [c,Inf], c=1, are computed by a moment-based method using the routine sr_usrbinet(dig,100,1,32), where dig=128 has been determined by the routine dig_usrbinet(100,1,120,4,32). The routines in this dataset allow generating the first N recurrence coefficients for any N and to any accuracy, also for upper subrange polynomials orthogonal on [c,Inf] for any 0 < c < Inf.

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