A Proof of Some q-Analogues of Selberg’s Integral for $k=1$

DOI10.1137/0519066zbMath0643.33003OpenAlexW1984039769MaRDI QIDQ3785144

Kevin W. J. Kadell

Publication date: 1988

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0519066

zbMATH Keywords

Schur functionsSelberg's integralq-beta integral

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15)

Related Items (16)

Combinatorial theory of Macdonald polynomials I: Proof of Haglund's formula ⋮ Breakthroughs in the theory of Macdonald polynomials ⋮ Unnamed Item ⋮ The Selberg-Jack symmetric functions ⋮ A new \(q\)-Selberg integral, Schur functions, and Young books ⋮ Orbifolds and exact solutions of strongly-coupled matrix models ⋮ Connection formula for the Jackson integral of type \(A_n\) and elliptic Lagrange interpolation ⋮ Quasisymmetric Schur functions ⋮ Some properties of generalized hypergeometric coefficients ⋮ On \(q\)-integrals over order polytopes ⋮ Product formulas for certain skew tableaux ⋮ A simple proof of an Aomoto-type extension of Askey's last conjectured Selberg \(q\)-integral ⋮ The shuffle conjecture ⋮ Unnamed Item ⋮ Lecture hall tableaux ⋮ \(q\)-Selberg integrals and Macdonald polynomials

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