32-digit values of the first 100 recurrence coefficients for a symmetric 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 [-Inf,Inf]

Version 1.0 - published on 14 Feb 2017 doi:10.4231/R7KP804N - cite this Archived on 15 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 [-Inf ,Inf] are computed by an 8-component discretization procedure using the routine sr_hypexpsymm(nofdig,N), with nofdig=32, N=100, and dig=36 entered when prompted. The value dig=36 has been determined by the routine dig_shypexpsymm(100,34,2,32) (which may take as long as two hours 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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