32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(1/2)*(1-x^(1/4))^(3/4) on [0,1]

Listed in Datasets

By Walter Gautschi

Purdue University

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*(1-x^c)^b on [0,1], a = 1/2, b = 3/4, c = 1/4

Version 1.0 - published on 10 Jan 2017 doi:10.4231/R7JD4TR2 - cite this Archived on 16 Dec 2016

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)=x^a* (1-x^c)^b on [0,1], a = 1/2, b = 3/4, c = 1/4, are computed by a moment-based method using the routine sr_alg(dig,32,100,1/2,3/4,1/4), where dig=180 has been determined by the routine dig_alg(100,1/2,3/4,1/4,172,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary a > -1/2, b > -1/2, c > 0, as well as for different precisions.

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).