Quelques valeurs prises par les polynômes de Macdonald décalés. (Some special values for shifted Macdonald polynomials)

DOI10.5802/aif.1682zbMath0930.11006OpenAlexW2317772210MaRDI QIDQ1288646

Michel Lassalle

Publication date: 16 May 1999

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1999__49_2_543_0

zbMATH Keywords

basic hypergeometric functionsgeneralized binomial coefficients(Shifted) Macdonald polynomialsgeneralized binomial formula

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items

Branching rules for symmetric functions and \(\mathfrak{sl}_n\) basic hypergeometric series ⋮ From \(p\)-adic to real Grassmannians via the quantum

Cites Work

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• Generalized binomial coefficients and Macdonald polynomials
• Some combinatorial conjectures for shifted Jack polynomials
• Shifted Jack polynomials, binomial formula, and applications
• Symmetric and non-symmetric quantum Capelli polynomials
• Binomial formula for Macdonald polynomials and applications
• Selberg Integrals and Hypergeometric Functions Associated with Jack Polynomials