32-digit values of the first 100 recurrence coefficients for the Schroedinger weight function with exponent mu=5

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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^4/16) on [0,Inf], mu=5

Version 1.0 - published on 09 Dec 2016 doi:10.4231/R7QR4V3Z - cite this Archived on 10 Jan 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^4/16) on [0,Inf], mu = 5, are computed by a moment-based method using the routine sr_schroedinger(dig,100,32,5), where dig = 156 has been determined by the routine dig_hrfreud(100,5,4,148,4,32). The software in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary exponent mu > -1 as well as for different precisions.

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

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