Quantum Calogero-Sutherland type models and generalised classical polynomials
2007 (English)In: arXiv:math-ph/0703090Article in journal (Refereed) Published
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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IdentifiersURN: urn:nbn:se:kth:diva-7255OAI: oai:DiVA.org:kth-7255DiVA: diva2:12211
QC 201110212007-05-312007-05-312011-10-21Bibliographically approved