32-digit values of the first 100 recurrence coefficients for the Morse weight function

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By Walter Gautschi

Purdue University

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp[-5*x+6*(exp(-x)-1)] on [0,Inf]

Version 1.0 - published on 13 Jan 2017 doi:10.4231/R7G44N8B - cite this Archived on 14 Feb 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)=exp[-5*x+6*(exp(-x)-1)] on [0,Inf] are computed by a 6-component discretization procedure using the routine sr_morse(32,100) with dig=34 entered at the prompt. The value dig=34 has been determined by the routine dig_smorse(100,32,2,32), attesting to the high stability of the procedure. (Both routines may take several hours to run.) The software provided in this dataset allows generating an arbitray number N of recurrence coefficients for different precisions.

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

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