A Unified Construction of Generalized Classical Polynomials Associated with Operators of Calogero-Sutherland Type
2010 (English)In: Constructive approximation, ISSN 0176-4276, E-ISSN 1432-0940, Vol. 31, no 3, 309-342 p.Article in journal (Refereed) Published
In this paper we consider a large class of many-variable polynomials which contains generalizations 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.
Place, publisher, year, edition, pages
2010. Vol. 31, no 3, 309-342 p.
Calogero-Sutherland operators, Many-variable polynomials, Series representations, Exactly solvable quantum many-body systems
IdentifiersURN: urn:nbn:se:kth:diva-19385DOI: 10.1007/s00365-009-9060-4ISI: 000276482400002ScopusID: 2-s2.0-77955086031OAI: oai:DiVA.org:kth-19385DiVA: diva2:337432
FunderSwedish Research Council
QC 201507282010-08-052010-08-052015-07-28Bibliographically approved