An analytic formula for the A2Jack polynomials

Vladimir V. Mangazeev*

*Corresponding author for this work

    Research output: Contribution to journalReview articlepeer-review

    1 Citation (Scopus)

    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 AnJack polynomials. This approach originated from the work [RIMS Kokyuroku 919 (1995), 27-34] where the integral representations for the A2Jack polynomials was derived. Using special polynomial bases I shall obtain a more explicit expression for the A2Jack polynomials in terms of generalized hypergeometric functions.

    Original languageEnglish
    Article number014
    JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
    Volume3
    DOIs
    Publication statusPublished - 2007

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