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An analytic formula for the A2 Jack polynomials

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Date

2007-01-24

Authors

Mangazeev, Vladimir

Journal Title

Journal ISSN

Volume Title

Publisher

National Academy of Sciences of Ukraine

Abstract

In this letter I shall review my joint results with Vadim Kuznetsov and Evgeny Sklyanin [Indag. Math. 14 (2003), 451–482] on separation of variables (SoV) for the An Jack polynomials. This approach originated from the work [RIMS Kokyuroku 919 (1995), 27–34] where the integral representations for the A2 Jack polynomials was derived. Using special polynomial bases I shall obtain a more explicit expression for the A2 Jack polynomials in terms of generalised hypergeometric functions.

Description

Keywords

Jack polynomials, integral operators, hypergeometric functions

Citation

Symmetry, Integrability and Geometry: Methods and Applications 3.014 (2007)

URI

http://hdl.handle.net/10440/431
 http://digitalcollections.anu.edu.au/handle/10440/431

Collections

ANU Research Publications

Source

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Type

Journal article

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DOI

10.3842/SIGMA.2007.014

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