32-digit values of the first 100 recurrence coefficients for the half-range squared Binet weight function

Listed in Datasets

By Walter Gautschi

Purdue University

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

Version 1.0 - published on 23 Oct 2017 doi:10.4231/R7KK98Z2 - 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-exp(-x)) on [0,Inf] are computed by a moment-based method using the routine sr_hrsqbinet(dig,32,100), where dig=168 has been determined by the routine dig_hrsqbinet(100,160,4,32). 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 to any precision.

Cite this work

Researchers should cite this work as follows:

Tags

Notes

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

The Purdue University Research Repository (PURR) is a university core research facility provided by the Purdue University Libraries, the Office of the Executive Vice President for Research and Partnerships, and Information Technology at Purdue (ITaP).