32-digit values of the first 100 recurrence coefficients for a half-range hyperexponential 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)=exp(-exp(x)) on [0,Inf]

Version 1.0 - published on 27 Feb 2017 doi:10.4231/R7JQ0Z1W - cite this Archived on 28 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(-exp(x)) on [0,Inf] are computed by a 4-component discretization procedure using the routine sr_hypexp(nofdig,N), with nofdig=32, N=100, and dig=36 entered when prompted. The value dig=36 has been determined by the routine dig_shypexp(100,34,2,32) (which may take as long as an hour to run). 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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