Recurrence relations for orthogonal polynomials on a triangle
Classical Analysis and ODEs
2018-01-30 v1
Abstract
This paper derives sparse recurrence relations between orthogonal polynomials on a triangle and their partial derivatives, which are analogous to recurrence relations for Jacobi polynomials. We derive these recurrences in a systematic fashion by introducing ladder operators that map an orthogonal polynomial to another by incrementing or decrementing its associated parameters by one.
Cite
@article{arxiv.1801.09099,
title = {Recurrence relations for orthogonal polynomials on a triangle},
author = {Sheehan Olver and Alex Townsend and Geoff Vasil},
journal= {arXiv preprint arXiv:1801.09099},
year = {2018}
}