Une q-Intégrale de Selberg et Askey
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Publication:3814019
DOI10.1137/0519111zbMath0664.33001OpenAlexW2066090378MaRDI QIDQ3814019
Publication date: 1988
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0519111
Combinatorial identities, bijective combinatorics (05A19) Gamma, beta and polygamma functions (33B15) Connections of hypergeometric functions with groups and algebras, and related topics (33C80)
Related Items (36)
The \({{\mathbb{F}}}_p\)-Selberg integral ⋮ A simple proof of the Zeilberger–Bressoud 𝑞-Dyson theorem ⋮ A theta product formula for Jackson integrals associated with root systems ⋮ Unnamed Item ⋮ The Selberg-Jack symmetric functions ⋮ A new \(q\)-Selberg integral, Schur functions, and Young books ⋮ On certain multiple Bailey, Rogers and Dougall type summation formulas ⋮ On a theta product formula for Jackson integrals associated with root systems of rank two ⋮ Connection formula for the Jackson integral of type \(A_n\) and elliptic Lagrange interpolation ⋮ Generalizations of the \(q\)-Morris constant term identity ⋮ A bilateral extension of the $q$-Selberg integral ⋮ The AFLT \(q\)-Morris constant term identity ⋮ The importance of the Selberg integral ⋮ \(q\)-difference systems for the Jackson integral of symmetric Selberg type ⋮ The \(q\)-Dixon-Anderson integral and multi-dimensional \(_1\psi_1\) summations ⋮ Askey-Wilson polynomials by means of a \(q\)-Selberg type integral ⋮ Some limit transitions between BC type orthogonal polynomials interpreted on quantum complex Grassmannians ⋮ On \(q\)-integrals over order polytopes ⋮ The \({\mathfrak{sl}}_3\) Selberg integral ⋮ Product formulas for certain skew tableaux ⋮ Logarithmic and Complex Constant Term Identities ⋮ From \(p\)-adic to real Grassmannians via the quantum ⋮ \(q\)-difference shift for a \(BC_{n}\)-type Jackson integral arising from `elementary' symmetric polynomials ⋮ A simple proof of an Aomoto-type extension of Askey's last conjectured Selberg \(q\)-integral ⋮ On $BC$ type basic hypergeometric orthogonal polynomials ⋮ A Stembridge-Stanton style elementary proof of the Habsieger-Kadell q- Morris identity ⋮ The \(\mathbb{F}_p\)-Selberg integral of type \(A_n\) ⋮ Unnamed Item ⋮ A Laurent series proof of the Habsieger-Kadell \(q\)-Morris identity ⋮ $q$-Selberg integrals and Macdonald polynomials ⋮ On elliptic product formulas for Jackson integrals associated with reduced root systems ⋮ Autour de la conjecture de Dyson. (Around the conjecture of Dyson) ⋮ \(q\)-Selberg integrals and Koornwinder polynomials ⋮ Symmetric and nonsymmetric Macdonald polynomials ⋮ A new approach to constant term identities and Selberg-type integrals ⋮ \(q\)-Selberg integrals and Macdonald polynomials
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