Two new \(q\)-exponential operator identities and their applications

DOI10.1016/J.JMAA.2014.04.055zbMath1295.05061OpenAlexW2010207388MaRDI QIDQ2252471

Zeya Jia

Publication date: 17 July 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.04.055

zbMATH Keywords

\(q\)-derivative\(q\)-series\(q\)-integral

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (4)

A note on generalized \(q\)-difference equations for general Al-Salam-Carlitz polynomials ⋮ Two \(q\)-operational equations and Hahn polynomials ⋮ An expansion of \((q, \lambda)\)-derivative operator ⋮ Two generalized \(q\)-exponential operators and their applications

Cites Work

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• An elementary evaluation of a beta type integral
• Bivariate generating functions for Rogers-Szegö polynomials
• A recurring \(q\)-integral formula
• The combinatorics of q-Hermite polynomials and the Askey-Wilson integral
• Generating functions for a class of \(q\)-polynomials
• Parameter augmentation for basic hypergeometric series. II
• Some operator identities and \(q\)-series transformation formulas
• Extensions of \(q\)-Chu-Vandermonde's identity
• A remark on Andrews-Askey integral
• Two operator identities and their applications to terminating basic hypergeometric series and \(q\)-integrals
• Twoq-difference equations andq-operator identities

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