q-Difference equations for the generalized Cigler’s polynomials
DOI10.1080/10236198.2017.1422247zbMath1427.05034OpenAlexW2782163033MaRDI QIDQ5243409
Publication date: 18 November 2019
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2017.1422247
generating functions\(q\)-difference equationAndrews-Askey integralAskey-Roy integralmoment integralCigler's polynomial
Exact enumeration problems, generating functions (05A15) (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) Basic hypergeometric integrals and functions defined by them (33D60) Functional equations for complex functions (39B32)
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