Some new generating functions for \(q\)-Hahn polynomials

DOI10.1155/2014/419365zbMath1442.33009OpenAlexW1987693254WikidataQ59051321 ScholiaQ59051321MaRDI QIDQ2336417

Yun Zhou, Qiu-Ming Luo

Publication date: 19 November 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/419365

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) 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 (2)

On a generalized homogeneous Hahn polynomial ⋮ New application of the Cauchy operator on the homogeneous Rogers-Szegö polynomials

Cites Work

• Unnamed Item
• Bivariate generating functions for Rogers-Szegö polynomials
• \(q\)-differential operator identities and applications
• The Cauchy operator for basic hypergeometric series
• Another homogeneous \(q\)-difference operator
• New proofs of generating functions for Rogers-Szegö polynomials
• Parameter augmentation for basic hypergeometric series. II
• Some operator identities and \(q\)-series transformation formulas
• A note on moment integrals and some applications
• The homogeneous \(q\)-difference operator
• A note on generating functions for Rogers-Szegő polynomials
• A Note onq-Integrals and Certain Generating Functions
• 𝑞-difference operators, orthogonal polynomials, and symmetric expansions
• The bivariate Rogers–Szegö polynomials
• Über Polynome, die gleichzeitig zwei verschiedenen Orthogonalsystemen angehören

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