32-digit values of the first 100 recurrence coefficients for the half-range Freud weight function with exponent 8

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By Walter Gautschi

Purdue University

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [0,Inf], mu=0, nu=8

Version 1.0 - published on 23 Oct 2017 doi:10.4231/R76D5R5W - cite this Archived on 24 Nov 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)=x^mu*exp(-x^nu) on [0,Inf], mu=0, nu=8, are computed by a moment-based method using the routine sr_hrfreud(dig,32,100,0,8), where dig=164 has been determined by the routine dig_hrfreud(100,0,8,156,4,32). For the respective moments, see Exercise 2.20(a) in Walter Gautschi,"Orthogonal polynomials in MATLAB. 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 exponents mu > -1, nu > 0, as well as for different precisions.

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

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