Associated Legendre polynomials

Listed in Datasets

By Walter Gautschi

Purdue University

Matlab routines for the first N recurrence coefficients of associated Legendre polynomials

Version 1.0 - published on 22 Mar 2017 doi:10.4231/R7GH9FZH - cite this Archived on 23 Apr 2017

Licensed under Attribution 3.0 Unported


A Matlab variable-precision routine is provided for generating the first N recurrence coefficients for polynomials orthogonal relative to the weight function [π^2+log^2((1+x)/(1-x))]^(-1) on [-1,1].

Cite this work

Researchers should cite this work as follows:



The dataset contains a Matlab script.

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).