32-digit values of the first 100 recurrence coefficients for the Freud weight function with exponent 3

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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|^μ*exp(-|x|^ν) on [-Inf,Inf], μ=0, ν=3

Version 1.0 - published on 27 Feb 2017 doi:10.4231/R7HT2M9T - 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)=|x|^μ*exp(-|x|^ν) on [-Inf,Inf], μ=0, ν=3 are computed by a moment-based method using the routine sr_freud(dig,32,100,0,3), where dig=80 has been determined by the routine dig_freud(100,0,3,72,4,32). For the respective moments, see Exercise 2.23(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 with arbitrary exponents μ > -1, ν > 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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