32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac 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)=[1/(exp(x)+1)]^r on [0,Inf], r=1

Version 2.0 - published on 29 Nov 2016 doi:10.4231/R7HQ3WW3 - cite this Archived on 30 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)=[1/(exp(x)+1)]^r on [0,Inf], r=1, are computed by a moment-based method using the routine sr_fermidirac(dig,32,100,1), where dig=124 has been determined by the routine dig_fermidirac(100,1,116,4,32). For the respective moments, see Section 5 of Walter Gautschi, Variable-precision recurrence coefficients for nonstandard orthogonal polynomials, Numerical Algorithms 52 (2009). pp. 409-418. doi: 10.1007/s11075-009-9283-2. The software in this dataset allows generating an arbitrary number N of recurrence coefficients for an arbitrary integer r > 0 as well as for different precisions.

Cite this work

Researchers should cite this work as follows:

Tags

Notes

The Matlab scripts were added to the 2.0 version of the dataset.

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).