32-digit values of the first 100 recurrence coefficients for upper subrange generalized Hermite polynomials with exponent -1/2

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By Walter Gautschi

Purdue University

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(2*mu)*exp(-x^2) on [c,Inf], c=1, mu=-1/4

Version 1.0 - published on 10 Nov 2016 doi:10.4231/R7FN145H - cite this Archived on 13 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)=x^(2*mu)*exp(-x^2) on [c,Inf], c=1, mu=-1/4, are computed by a moment-based method using the routine sr_upper_subrange_ghermite(dig,32,100,1,-1/4), where dig=152 has been determined by the routine dig_upper_subrange_ghermite(100,1,-1/4,144,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary c > 0, mu > -1/2, as well as for different precisions.

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

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