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32-digit values of the first 100 recurrence coefficients for the finite-range exponential integral weight function on [0,16]

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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,c], nu=1, c=16

Version 1.0 - published on 26 Oct 2016 doi:10.4231/R7WS8R7X - cite this Archived on 13 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)=E_nu(x) on (0,c], nu=1, c=16, are computed by a moment-based method using the routine sr_Enufin(dig,32,100,16), where dig=180 has been determined by the routine dig_Enufin(100,1,16,172,4,32). For the moments, see Exercise 2.26(c) 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 and c > 0, as well as for different precisions.

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The dataset consists of one text file and seven Matlab scripts.

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