Lowering and raising operators for some special orthogonal polynomials

Tom H. Koornwinder

Lowering and raising operators for some special orthogonal polynomials

经典分析与常微分方程 2009-10-31 v1

作者: Tom H. Koornwinder

摘要

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.

关键词

jacobi forms orthogonal polynomials pseudodifferential operators

引用

@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}
}