A note on $q$-partial difference equations and some applications to generating functions and $q$-integrals

DOI10.21136/CMJ.2018.0470-17OpenAlexW2911687071MaRDI QIDQ5227133

Jian Cao, Da-Wei Niu

Publication date: 5 August 2019

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2018.0470-17

zbMATH Keywords

generating functionAndrews-Askey integral\(q\)-partial difference equationhomogeneous generalized Al-Salam-Carlitz polynomialRamanujan \(q\)-beta integral

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) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50) Polynomial solutions to PDEs (35C11)

Related Items (2)

A \(q\)-operational equation and the Rogers-Szegő polynomials ⋮ An expansion of \((q, \lambda)\)-derivative operator

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