An Analytic Formula for the A_2 Jack Polynomials
| dc.creator | Mangazeev, Vladimir V. | |
| dc.date | 2007-01-24 | |
| dc.date.accessioned | 2026-07-07T09:34:34Z | |
| dc.date.available | 2026-07-07T09:34:34Z | |
| dc.description | 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. | |
| dc.description | This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/math/0701677 | |
| dc.identifier | http://arxiv.org/abs/math/0701677 | |
| dc.identifier | SIGMA 3 (2007), 014, 11 pages | |
| dc.identifier | doi:10.3842/SIGMA.2007.014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159540 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | An Analytic Formula for the A_2 Jack Polynomials | |
| dc.type | text |