32-digit values of the first 100 recurrence coefficients for the half-range squared generalized Binet weight function with parameter 1/2

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By Walter Gautschi

Purdue University

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=log^2(1-a*exp(-x)) on [0,Inf], a = 1/2

Version 1.0 - published on 23 Oct 2017 doi:10.4231/R7FT8J7R - cite this Archived on 24 Nov 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)=log^2(1-a*exp(-x)) on [0,Inf], a = 1/2, are computed by a moment-based method using the routine sr_hrsqgbinet(dig,32,100,1/2), where dig=124 has been determined by the routine dig_hrsqgbinet(100,1/2,116,4,32). For the respective moments, see W. Gautschi and G.V. Milovanović, "Binet-type polynomials and their zeros", Electron. Trans. Numer. Anal., to appear. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for any parameter a, 0 < a < 1, to any precision.

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

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