ALTERNATIVE PROOFS OF GENERATING FUNCTIONS FOR HAHN POLYNOMIALS AND SOME APPLICATIONS

DOI10.1142/S0219025711004511zbMath1235.05019MaRDI QIDQ3114600

Jian Cao

Publication date: 19 February 2012

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

generating functionHahn polynomials\(q\)-Chu-Vandermonde formulaAl-Salam-Carlitz orthogonal polynomialsmoments representation

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)

Related Items (6)

\(q\)-difference equations for Askey-Wilson type integrals via \(q\)-polynomials ⋮ q-Difference equations of moment integrals for transformational identities and generating functions ⋮ On a generalized homogeneous Hahn polynomial ⋮ q-difference equations for homogeneous q-difference operators and their applications ⋮ A note on generalized \(q\)-difference equations for \(q\)-beta and Andrews-Askey integral ⋮ Unnamed Item

Cites Work

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