New forms of the Cauchy operator and some of their applications

DOI10.1134/S1061920816010118zbMath1342.33038MaRDI QIDQ2629319

Mohammed A. Abdlhusein, Hari M. Srivastava

Publication date: 6 July 2016

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (6)

A note on generalized \(q\)-difference equations for general Al-Salam-Carlitz polynomials ⋮ Two \(q\)-operational equations and Hahn polynomials ⋮ Generalized \(q\)-difference equations for \((q, c)\)-hypergeometric polynomials and some applications ⋮ q-difference equations for homogeneous q-difference operators and their applications ⋮ New application of the Cauchy operator on the homogeneous Rogers-Szegö polynomials ⋮ Unnamed Item

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
• Generating functions for a class of \(q\)-polynomials
• Some multilinear generating functions for q-Hermite polynomials
• Parameter augmentation for basic hypergeometric series. II
• Generating functions for certain q-orthogonal polynomials
• Some \(q\)-generating functions of the Carlitz and Srivastava-Agarwal types associated with the generalized Hahn polynomials and the generalized Rogers-Szegö polynomials
• The homogeneous \(q\)-difference operator
• An operator approach to the Al-Salam–Carlitz polynomials
• The bivariate Rogers–Szegö polynomials
• Some Orthogonal q‐Polynomials

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