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An Analytic Formula for the A_2 Jack Polynomials | | Vladimir V. Mangazeev
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24 Jan 2007 | | Journal: | SIGMA 3 (2007), 014, 11 pages | | Subject: | Classical Analysis and ODEs; Mathematical Physics | | Abstract: | In this letter I shall review my joint results with Vadim Kuznetsov and Evgeny Sklyanin [Indag. Math. 14 (2003), 451-482, math.CA/0306242] on separation of variables for the $A_n$ Jack polynomials. This approach originated from the work [RIMS Kokyuroku 919 (1995), 27-34, solv-int/9508002] 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. | | Source: | arXiv, math/0701677 | | Services: | Forum | Review | PDF | Favorites | |
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