Lowering and raising operators for some special orthogonal polynomials
Classical Analysis and ODEs
2009-10-31 v1
Abstract
This paper discusses operators lowering or raising the degree but preserving the parameters of special orthogonal polynomials. Results for one-variable classical (q-)orthogonal polynomials are surveyed. For Jacobi polynomials associated with root system BC_2 a new pair of lowering and raising operators is obtained.
Cite
@article{arxiv.math/0505378,
title = {Lowering and raising operators for some special orthogonal polynomials},
author = {Tom H. Koornwinder},
journal= {arXiv preprint arXiv:math/0505378},
year = {2009}
}
Comments
12 pages; to appear in proceedings of the Workshop on Jack, Hall-Littlewood and Macdonald polynomials (Edinburgh, September 2003)