You may have heard that PURR may be down temporarily this Thursday (10/17) for maintenance. The maintenance is being rescheduled, and we do not expect to have any downtime this week. We will let you know when the maintenance has been rescheduled. close

32-digit values of the first 100 recurrence coefficients for a four-parameter exponential weight function with parameters 2, 1, 1, 0

Listed in Datasets

By Walter Gautschi

Purdue University

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

Version 1.0 - published on 30 Jan 2017 doi:10.4231/R7F47M3H - cite this Archived on 03 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)=x^d*exp(-b/x^a-c*x^a) on [0,Inf], a=2, b=c=1, d=0, are computed by a moment-based method using the routine sr_exp_abcd(dig,32,100,2,1,1,0), where dig=144 has been determined by the routine dig_exp_abcd(100,2,1,1,0,136,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary a > 0, b > 0, c > 0, d real, as well as for different precisions.

Cite this work

Researchers should cite this work as follows:

Tags

Notes

The dataset contains a text file and four Matlab routines.

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).