32-digit values of the first 65 recurrence coefficients for the Krylov-Pal'tsev weight function on [0,Inf] with exponent 1/2

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By Walter Gautschi

Purdue University

32-digit values of the first 65 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*log(1+1/x) on [0,Inf], a=1/2

Version 1.0 - published on 10 May 2017 doi:10.4231/R7KH0KBM - cite this Archived on 11 Jun 2017

Licensed under Attribution 3.0 Unported

Description

32-digit values of the first 65 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^a*exp(-x)*log(1+1/x) on [0,Inf], a=1/2, are computed by a 2-component discretization method using the routine sr_explogalg1half0inf(32), where dig=48 has to be entered when prompted by the routine. The value 48 of dig has been determined by the routine dig_alg1halfexplog(32,4,32). The software provided in this dataset allows generating any number N <= 65 of recurrence coefficients for any noninteger a > -1, as well as for different precisions.

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The dataset consists of three text files and eight Matlab scripts.

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