Two operator representations for the trivariate \(q\)-polynomials and Hahn polynomials

DOI10.1007/S11139-015-9731-7zbMath1361.05017OpenAlexW2233570587MaRDI QIDQ312433

Mohammed A. Abdlhusein

Publication date: 15 September 2016

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-015-9731-7

zbMATH Keywords

generating functionhomogeneous \(q\)-shift operatorMahler's formulaRogers formula

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (3)

Generalized homogeneous \(q\)-difference equations for \(q\)-polynomials and their applications to generating functions and fractional \(q\)-integrals ⋮ Two \(q\)-operational equations and Hahn polynomials ⋮ New application of the Cauchy operator on the homogeneous Rogers-Szegö polynomials

Cites Work

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• On Carlitz's trilinear generating functions
• Generalizations of certain Carlitz's trilinear and Srivastava-Agarwal type generating functions
• The Cauchy operator for basic hypergeometric series
• Another homogeneous \(q\)-difference operator
• Parameter augmentation for basic hypergeometric series. II
• Generating functions for certain q-orthogonal polynomials
• The homogeneous \(q\)-difference operator
• Twoq-difference equations andq-operator identities
• An operator approach to the Al-Salam–Carlitz polynomials
• The bivariate Rogers–Szegö polynomials
• Some Orthogonal q‐Polynomials

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