32-digit values of the first 100 recurrence coefficients for the upper subrange Hermite weight function on [c,Inf], c=√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)=exp(-x^2) on [c,Inf], c=√1/2

Version 1.0 - published on 03 Feb 2017 doi:10.4231/R7NP22FV - cite this Archived on 04 Mar 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)=exp(-x^2) on [c,Inf], c=√1/2, are computed by a moment-based method using the routine sr_upper_subrange_ghermite(dig,32,100,√1/2,0), where dig=152 has been determined by the routine dig_upper_subrange_ghermite(100,√1/2,0,144,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary real c as well as for different precisions.

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The dataset contains a data file and five Matlab routines.

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