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Bibliographic Details
Main Authors: Hallnäs, Martin, Langmann, Edwin
Format: Preprint
Published: 2007
Subjects:
Online Access:https://arxiv.org/abs/math-ph/0703090
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Table of Contents:
  • 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.