32-digit values of the first 100 recurrence coefficients for the exponential integral weight function E_1 on [0,Inf]

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By Walter Gautschi

Purdue University

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=E_nu(x) on (0,Inf], nu=1

Version 2.0 - published on 23 Mar 2017 doi:10.4231/R72805M5 - cite this Archived on 24 Apr 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)=E_nu(x) on (0,Inf], nu=1, are computed by a moment-based method using the routine sr_Enu(dig,32,100,1), where dig=124 has been determined by the routine dig_Enu(100,1,116,4,32). For the moments, see Exercise 2.26(a) in Walter Gautschi, "Orthogonal polynomials: exercises and solutions", Software, Environments, and Tools, SIAM, Philadelphia, PA, 2016. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary nu > 0 as well as for different precisions.

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Notes

The dataset consists of one text file and four Matlab scripts. The version 2.0 contains a corrected txt file.

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