A symmetric function generalization of the Zeilberger–Bressoud $q$-Dyson theorem
Copyright policy )A symmetric function generalization of the Zeilberger–Bressoud $q$-Dyson theorem
In 2000, Kadell gave an orthogonality conjecture for a symmetric function generalization of the Zeilberger--Bressoud $q$-Dyson theorem or the $q$-Dyson constant term identity. This conjecture was proved by K��rolyi, Lascoux and Warnaar in 2015. In this paper, by slightly changing the variables of Kadell's conjecture, we obtain another symmetric function generalization of the $q$-Dyson constant term identity. This new generalized constant term admits a simple product-form expression.
13 pages. arXiv admin note: text overlap with arXiv:2002.11229
- Central South University China (People's Republic of)
Symmetric functions and generalizations, Kadell's orthogonality conjecture, \(q\)-calculus and related topics, Other basic hypergeometric functions and integrals in several variables, FOS: Mathematics, Mathematics - Combinatorics, constant term identity, Combinatorics (math.CO), symmetric function, Zeilberger-Bressoud \(q\)-Dyson theorem, 05A30, 33D70, 05E05
Symmetric functions and generalizations, Kadell's orthogonality conjecture, \(q\)-calculus and related topics, Other basic hypergeometric functions and integrals in several variables, FOS: Mathematics, Mathematics - Combinatorics, constant term identity, Combinatorics (math.CO), symmetric function, Zeilberger-Bressoud \(q\)-Dyson theorem, 05A30, 33D70, 05E05
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