A Dyson constant term orthogonality relation

DOI10.1006/jcta.1999.2928zbMath0942.05004OpenAlexW2088081847MaRDI QIDQ1971620

Kevin W. J. Kadell

Publication date: 21 August 2000

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ba48b458aef3bddc10c68178b333967bd0f691e5

zbMATH Keywords

Macdonald polynomials\(q\)-analogueDyson's conjectureDyson's constant term identity

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30)

Related Items (7)

A simple proof of the Zeilberger–Bressoud 𝑞-Dyson theorem ⋮ Constant term identities and Poincaré polynomials ⋮ Macdonald symmetric functions of rectangular shapes ⋮ A recursion for a symmetric function generalization of the \(q\)-Dyson constant term identity ⋮ On the \(q\)-Dyson orthogonality problem ⋮ A symmetric function generalization of the Zeilberger–Bressoud $q$-Dyson theorem ⋮ A new approach to constant term identities and Selberg-type integrals

Cites Work

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• A proof of Andrews' \(q\)-Dyson conjecture
• Aomoto's machine and the Dyson constant term identity
• The Selberg-Jack symmetric functions
• Some combinatorial properties of Jack symmetric functions
• Statistical Theory of the Energy Levels of Complex Systems. I
• Proof of a Conjecture by Dyson in the Statistical Theory of Energy Levels
• Proof of a Conjecture by Dyson

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