A note on generalized \(q\)-difference equations for general Al-Salam-Carlitz polynomials

DOI10.1186/s13662-020-03133-7zbMath1487.39008arXiv2011.05848OpenAlexW3100495776MaRDI QIDQ2144134

Binbin Xu, Sama Arjika, Jian Cao

Publication date: 1 June 2022

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

Full work available at URL: https://arxiv.org/abs/2011.05848

zbMATH Keywords

generating functions\(q\)-difference operator\(q\)-difference equationAl-Salam-Carlitz polynomialsRamanujan's integral

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (3)

Generalized homogeneous \(q\)-difference equations for \(q\)-polynomials and their applications to generating functions and fractional \(q\)-integrals ⋮ Generalized \(q\)-difference equations for \((q, c)\)-hypergeometric polynomials and some applications ⋮ Unnamed Item

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