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

Martin Hallnäs·Edwin Langmann
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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.

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Martin Hallnäs, Edwin Langmann. 2007-03-30. A unified construction of generalised classical polynomials associated with operators of Calogero-Sutherland type. https://doi.org/10.1007/s00365-009-9060-4

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