32-digit values of the first 100 recurrence coefficients for a Pollaczek-type 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)=exp(-(1-x^2)^(-a)) on [-1,1], a=1/2

Version 1.0 - published on 27 Feb 2017 doi:10.4231/R72R3PP7 - cite this Archived on 28 Mar 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)=exp(-(1-x^2)^(-a)) on [-1,1], a=1/2, are computed by a 5-component discretization procedure using the routine sr_pollaczek(32,100), where dig=36 to be entered has been determined by the routine dig_pollaczek(100,32,4,32). See also 10.4231/R73R0QV2 for values of the parameter a in the range 1/10 <= a <= 10.

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

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