A q-EXTENSION OF CAUCHY'S FORM OF THE BETA INTEGRAL

DOI10.1093/qmath/32.3.255zbMath0463.33003OpenAlexW2090563975MaRDI QIDQ3913679

Richard Askey

Publication date: 1981

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/32.3.255

zbMATH Keywords

basic hypergeometric seriesCauchy's beta integral

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (11)

Note on a \(q\)-contour integral formula ⋮ Remarks on a generalizedq-difference equation ⋮ A basic bilateral series summation formula and its applications ⋮ A quantization of the harmonic analysis on the infinite-dimensional unitary group ⋮ A new proof of the Askey-Wilson integral via a five-variable Ramanujan's reciprocity theorem ⋮ New results involving a certain class of \(q\)-orthogonal polynomials ⋮ Applications of a generalized \(q\)-difference equation ⋮ \(q\)-extensions of Dougall's bilateral \(_2H_2\)-series ⋮ An extension of the \(q\)-beta integral with applications ⋮ Macdonald-level extension of beta ensembles and large-\(N\) limit transition ⋮ Orthogonality relations for Al-Salam-Carlitz polynomials of type II

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