Generating functions for some families of the generalized Al-Salam-Carlitz \(q\)-polynomials

DOI10.1186/s13662-020-02963-9zbMath1486.33022arXiv2009.06563OpenAlexW3085237204MaRDI QIDQ2124976

Sama Arjika, Hari M. Srivastava

Publication date: 11 April 2022

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

Full work available at URL: https://arxiv.org/abs/2009.06563

zbMATH Keywords

\(q\)-binomial theoremCauchy polynomialsAl-Salam-Carlitz \(q\)-polynomialsbasic (or \(q\))-hypergeometric seriesextended Rogers-type formulashomogeneous \(q\)-difference operatorRogers-type formulasSrivastava-Agarwal-type generating functions

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items

A note on generalized \(q\)-difference equations for general Al-Salam-Carlitz polynomials, Generalized homogeneous \(q\)-difference equations for \(q\)-polynomials and their applications to generating functions and fractional \(q\)-integrals, Two \(q\)-operational equations and Hahn polynomials, Generalized \(q\)-difference equations for \((q, c)\)-hypergeometric polynomials and some applications, Unnamed Item

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