32-digit values of the first 100 recurrence coefficients for a Gaussian weight function with parameters 1/2 and 1

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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(-a(x-x0)^2) on [0,Inf], with a=1/2, x0=1

Version 1.0 - published on 03 Feb 2017 doi:10.4231/R7HX19PP - cite this Archived on 04 Mar 2017

Licensed under Attribution 3.0 Unported

Description

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-a(x-x0)^2) on [0,Inf], a=1/2, x0=1, are computed by making use of the relations α_k=x0+a_k/√ a, k=0,1,2, . . . , β_0=b_0/√ a, β_k=b_k/a, k=1,2, . . . , where a_k, b_k are the recurrence coefficients for the upper subrange Hermite weight function on [c,Inf], c=-x_0*√ a), cf. datasets 10.4231/R7028PHC and 10.4231/R7NP22FV.

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

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