A recurring \(q\)-integral formula

DOI10.1016/j.aml.2009.10.004zbMath1183.33036OpenAlexW2006898538MaRDI QIDQ847305

Mingjin Wang

Publication date: 12 February 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.10.004

zbMATH Keywords

Andrews-Askey integralAl-Salam-Carlitz polynomialsterminating Sears' \(_{3}\phi_{2}\) transformation formulathe \(q\)-Chu-Vandermonde formula

Mathematics Subject Classification ID

Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (11)

Homogeneous \(q\)-difference equations and generating functions for \(q\)-hypergeometric polynomials ⋮ Remarks on a generalizedq-difference equation ⋮ An expectation formula based on a Maclaurin expansion ⋮ An expectation formula with applications ⋮ Some iterated fractional \(q\)-integrals and their applications ⋮ Applications of a generalized \(q\)-difference equation ⋮ Two new \(q\)-exponential operator identities and their applications ⋮ Notes on Askey-Roy integral and certain generating functions for \(q\)-polynomials ⋮ A new discrete probability space with applications ⋮ An extension of the \(q\)-beta integral with applications ⋮ Note on a \(q\)-contour integral formula of Gasper-Rahman

Cites Work

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• Some multilinear generating functions for q-Hermite polynomials
• Some operator identities and \(q\)-series transformation formulas
• A remark on Andrews-Askey integral
• Another q-Extension of the Beta Function
• Transformations of Basic Hypergeometric Functions of Special Type

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