Twoq-difference equations andq-operator identities
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Publication:3060069
DOI10.1080/10236190902810385zbMath1223.39005OpenAlexW2059211848MaRDI QIDQ3060069
Publication date: 1 December 2010
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236190902810385
\(q\)-derivative\(q\)-series\(q\)-difference equation\(q\)-integral\(q\)-exponential operatorRogers-Szegö polynomialsSears transformation\(q\)-Mehler formulaBailey's \(_6\psi_6\) summation
(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13) (q)-gamma functions, (q)-beta functions and integrals (33D05) Basic hypergeometric integrals and functions defined by them (33D60)
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Cites Work
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- Parameter augmentation for basic hypergeometric series. II
- Some operator identities and \(q\)-series transformation formulas
- Bailey's very well-poised \(_6\psi_6\)-series identity
- Two operator identities and their applications to terminating basic hypergeometric series and \(q\)-integrals
- Complex Analysis: A Brief Tour into Higher Dimensions
