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32-digit values of the first 100 recurrence coefficients for the 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 [-Inf,Inf]

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Version 1.0 - published on 14 Aug 2017 doi:10.4231/R7P55KH7 - 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 [-Inf,Inf] are computed by a moment-based method using the routine sr_binet(dig,32,100), where dig=64 has been determined by the routine dig_binet(100,56,4,32). The respective moments are expressible in terms of the gamma and zeta functions. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for any precision.

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The dataset consists of one text file and four Matlab scripts.