Some Remarks on q-Beta Integral

DOI10.2307/2043846zbMath0492.33001OpenAlexW4236504454MaRDI QIDQ3954084

Waleed A. Al-Salam, Arun Verma

Publication date: 1982

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2043846

zbMATH Keywords

Askey-Wilson polynomialsq-beta integralbasic series

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gamma, beta and polygamma functions (33B15)

Related Items (10)

Extensions of Ramanujan's reciprocity theorem and the Andrews-Askey integral ⋮ A \(q\)-analogue of Appell's \(F_ 1\) function, its integral representation and transformations ⋮ An expectation formula based on a Maclaurin expansion ⋮ A \(q\)-extension of a partial differential equation and the Hahn polynomials ⋮ A multiple \(q\)-translation formula and its implications ⋮ An expectation formula with applications ⋮ An extension of Askey-Wilson's \(q\)-beta integral and its applications ⋮ A \(q\)-summation formula, the continuous \(q\)-Hahn polynomials and the big \(q\)-Jacobi polynomials ⋮ A new discrete probability space with applications ⋮ A q-integral representation of Rogers' q-ultraspherical polynomials and some applications

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