The first 100 recurrence coefficients for a Pollaczek-type weight function with parameters in the interval [1/10,10]

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By Walter Gautschi

Purdue University

The first 100 recurrence coefficients for the weight function w(x)=exp(-(1-x^2)^(-a)) on [-1,1], a=1/10, 1/2, 1, 2, . . . , 10

Version 1.0 - published on 27 Feb 2017 doi:10.4231/R73R0QV2 - cite this Archived on 28 Mar 2017

Licensed under Attribution 3.0 Unported

Description

Plots are generated, using the routine runplot_pollaczek.m, of the weight function w(x)=exp(-(1-x^2)^(-a)) on [-1,1], for a=1/10, 1/2, 1, 2, . . . , 10, and of the corresponding beta recurrence coefficients. When prompted, d=36 and the value of "a" have to be entered. Run times, for each "a", vary between 3 min and 15 min, and for all twelve values of "a", the run time is about 2 and 1/4 hours.

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Notes

The dataset consists of six Matlab scripts and two eps files.

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