A unified construction of generalised classical polynomials associated with operators of Calogero-Sutherland type
Mathematical Physics
2010-11-09 v2 math.MP
Abstract
In this paper we consider a large class of many-variable polynomials which contains generalisations of the classical Hermite, Laguerre, Jacobi and Bessel polynomials as special cases, and which occur as the polynomial part in the eigenfunctions of Calogero-Sutherland type operators and their deformations recently found and studied by Chalykh, Feigin, Sergeev, and Veselov. We present a unified and explicit construction of all these polynomials.
Keywords
Cite
@article{arxiv.math-ph/0703090,
title = {A unified construction of generalised classical polynomials associated with operators of Calogero-Sutherland type},
author = {Martin Hallnäs and Edwin Langmann},
journal= {arXiv preprint arXiv:math-ph/0703090},
year = {2010}
}