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

Version 1.0 - published on 23 Oct 2017 doi:10.4231/R7QC01NW - 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(1-a*exp(-x)) on [0,Inf], a = 1/2, are computed by a moment-based method using the routine sr_hrgbinet(dig,32,100,1/2), where dig=128 has been determined by the routine dig_hrgbinet(100,1/2,120,4,32). 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, and to any precision.

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

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