Two generalized \(q\)-exponential operators and their applications

DOI10.1186/s13662-016-0741-6zbMath1419.33005OpenAlexW2281568645WikidataQ59468244 ScholiaQ59468244MaRDI QIDQ1796705

Wei Tan, Nadia N. Li

Publication date: 17 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0741-6

zbMATH Keywords

\(q\)-series\(q\)-integral\(q\)-exponential operatorAskey-Wilson integral\(q\)-Chu-Vandermonde sums

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (2)

Fractional \(q\)-symmetric calculus on a time scale ⋮ Unnamed Item

Cites Work

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• \(q\)-differential operator identities and applications
• The Cauchy operator for basic hypergeometric series
• The combinatorics of q-Hermite polynomials and the Askey-Wilson integral
• Parameter augmentation for basic hypergeometric series. II
• Some operator identities and \(q\)-series transformation formulas
• An expansion formula for \(q\)-series and applications
• Two new \(q\)-exponential operator identities and their applications
• Two operator identities and their applications to terminating basic hypergeometric series and \(q\)-integrals
• SOME APPLICATIONS OF q-DIFFERENTIAL OPERATOR

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