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A Unified Construction of Generalized Classical Polynomials Associated with Operators of Calogero-Sutherland Type
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
2010 (English)In: Constructive approximation, ISSN 0176-4276, E-ISSN 1432-0940, Vol. 31, no 3, 309-342 p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
Calogero-Sutherland operators, Many-variable polynomials, Series representations, Exactly solvable quantum many-body systems
National Category
URN: urn:nbn:se:kth:diva-19385DOI: 10.1007/s00365-009-9060-4ISI: 000276482400002ScopusID: 2-s2.0-77955086031OAI: diva2:337432
Swedish Research Council

QC 20150728

Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2015-07-28Bibliographically approved

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Langmann, Edwin
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