A note on q-difference equations for Cigler’s polynomials

DOI10.1080/10236198.2016.1250750zbMath1356.05017OpenAlexW2547183394MaRDI QIDQ2964252

Jian Cao, Da-Wei Niu

Publication date: 23 February 2017

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2016.1250750

zbMATH Keywords

generating function\(q\)-difference equationmultilinear generating function\(U(n+1)\) type generating functionsCigler polynomial

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) Difference equations, scaling ((q)-differences) (39A13)

Related Items (7)

A note on generalized \(q\)-difference equations for general Al-Salam-Carlitz polynomials ⋮ Generalized q-Laguerre type polynomials and q-partial differential equations ⋮ Generalized \(q\)-difference equations for \((q, c)\)-hypergeometric polynomials and some applications ⋮ Some iterated fractional \(q\)-integrals and their applications ⋮ Homogeneous \(q\)-difference equations and generating functions for the generalized 2D-Hermite polynomials ⋮ q-Laguerre polynomials and related q-partial differential equations ⋮ q-Difference equations for the generalized Cigler’s polynomials

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