32-digit values of the first 100 recurrence coefficients for the reciprocal gamma weight function

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By Walter Gautschi

Purdue University

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

Version 1.0 - published on 23 Nov 2016 doi:10.4231/R7S180GF - cite this Archived on 24 Dec 2016

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)=1/gamma(x) on [0,Inf] are computed by a multicomponent discretization procedure using the routine sr_recgamma(dig,100), where dig=36 has been determined by the routine dig_recgamma(100,32,4,32). The results are in complete agreement to all twenty digits of the first 40 recurrence coefficients given in Table 1 of Walter Gautschi, "Polynomials orthogonal with respect to the reciprocal gamma function", BIT 22 (1982), 387-389, doi: 10.1007/BF01934452. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for different precisions.

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

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