32-digit values of the first 100 recurrence coefficients for a four-parameter exponential weight function with parameters 2, 1, 1, 0

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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^d*exp(-b/x^a-c*x^a) on [0,Inf], a=2, b=c=1, d=0

Version 1.0 - published on 30 Jan 2017 doi:10.4231/R7F47M3H - cite this Archived on 03 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^d*exp(-b/x^a-c*x^a) on [0,Inf], a=2, b=c=1, d=0, are computed by a moment-based method using the routine sr_exp_abcd(dig,32,100,2,1,1,0), where dig=144 has been determined by the routine dig_exp_abcd(100,2,1,1,0,136,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary a > 0, b > 0, c > 0, d real, as well as for different precisions.

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The dataset contains a text file and four Matlab routines.

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