Results 161 to 170 of about 427 (182)

Yang-Baxter Graphs, Jack and Macdonald Polynomials

Annals of Combinatorics, 2001
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Alain Lascoux, Lascoux Alain
exaly   +3 more sources

3-JACK POLYNOMIALS AND YANG--BAXTER EQUATION

Reports on Mathematical Physics, 2023
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exaly   +3 more sources

An Extension of Jack’s Lemma to Polynomials of Fixed Degree

Computational Methods and Function Theory, 2007
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Richard Fournier
exaly   +3 more sources

Some combinatorial conjectures for Jack polynomials

Annals of Combinatorics, 1998
After an exposition of Jack polynomials, shifted symmetric polynomials and a generalization of Stirling numbers of the kirst kind, this paper presents conjectures concerning a generalization of the Pieri formula and the expansion of Jack polynomials in terms of power sums.
Michel Lassalle
exaly   +2 more sources

Hypergeometric Functions Related to Jack Polynomials

1995
Let us fix a positive number α determining Jack polynomials J λ(x (r); α). Let d = 2/α. For every partition λ = (λ 1, λ 2,...,.λ n ) we put $$\left( a \right)_\lambda ^{\left( \alpha \right)} \equiv {\left( a \right)_\lambda } = \sum\limits_{i = 1}^{l\left( \lambda \right)} {{{\left( {a - \frac{d}{2}\left( {i - 1} \right)} \right)}_{{\lambda _i}}}}
N. Ja. Vilenkin, A. U. Klimyk
openaire   +1 more source

New Orthogonality Relations for Super-Jack Polynomials and an Associated Lassalle–Nekrasov Correspondence

Constructive Approximation, 2023
Martin Hallnäs
exaly  

An Analytic Formula for the A??? Jack Polynomials

2019
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.
openaire   +1 more source

Selberg Integrals and Hypergeometric Functions Associated with Jack Polynomials

SIAM Journal on Mathematical Analysis, 1993
Jyoichi Kaneko
exaly  

Orthogonality of the Hi-Jack Polynomials Associated with the Calogero Model

Journal of the Physical Society of Japan, 1997
Hideaki Ujino, Miki Wadati, Ujino Hideaki   +2 more
exaly  

Jack polynomials

2009
openaire   +1 more source