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

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*exp(-x)*(x-1-log(x)) on [0,Inf], a=-1/2

Version 1.0 - published on 10 Jan 2017 doi:10.4231/R79P2ZMR - cite this Archived on 31 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*exp(-x)*(x-1-log(x)) on [0,Inf], a=-1/2, are computed by a moment-based method using the routine sr_lalog(dig,32,100,-1/2), where dig=124 has been determined by the routine dig_laglog(100,-1/2,116,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary a>-1 as well as for different precisions. For the moments, see Section 2.1 of Walter Gautschi, "Gauss quadrature routines for two classes of logarithmic weight functions", Numerical Algorithms 55 (2010), 265-277. doi: 10.1007/s11075-010-9366-0.

Cite this work

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).