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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 014, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.014 (Mi sigma140) 		 
This article is cited in 1 scientific paper (total in 1 paper)

An Analytic Formula for the $\mathrm A_2$ Jack Polynomials

Vladimir V. Mangazeev

Department of Theoretical Physics, Research School of Physical Sciences and Engineering, The Australian National University, Canberra, Australia
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DOI: https://doi.org/10.3842/SIGMA.2007.014
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 $A_n$ Jack polynomials. This approach originated from the work [RIMS Kokyuroku 919 (1995), 27–34] where the integral representations for the $A_2$ Jack polynomials was derived. Using special polynomial bases I shall obtain a more explicit expression for the $A_2$ Jack polynomials in terms of generalised hypergeometric functions.
Keywords: Jack polynomials; integral operators; hypergeometric functions.
Received: November 1, 2006; in final form January 5, 2007; Published online January 24, 2007
Bibliographic databases:
Document Type: Article
MSC: 05E05; 33C20; 82B23
Language: English
Citation: Vladimir V. Mangazeev, “An Analytic Formula for the $\mathrm A_2$ Jack Polynomials”, SIGMA, 3 (2007), 014, 11 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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