A unified construction of generalised classical polynomials associated with operators of Calogero-Sutherland type

Details A unified construction of generalised classical polynomials associated with operators of Calogero-Sutherland type A unified construction of generalised classical polynomials associated with operators of Calogero-Sutherland type

2007-03-30

arxiv.org/abs/math-ph/0703090v2

Constr. Approx. (2010) 31: 309-342

Physics

Mathematical Physics

Scientific paper

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.

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