32-digit values of the first 100 recurrence coefficients for the half-range generalized Hermite weight function with exponent 0

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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 [0,Inf], mu=0

Version 2.0 - published on 29 Nov 2016 doi:10.4231/R7ZP443R - cite this Archived on 30 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 [0,Inf], mu=0, are computed by a moment-based method using the routine sr_hrghermite(dig,32,100,0), where dig=140 has been determined by the routine dig_hrghermite(100,0,132,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for an arbitrary mu > -1/2, as well as for different precisions.

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Notes

The version 2.0 of this dataset was supplemented by four Matlab scripts and an updated text file.

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