Generating functions for a class of \(q\)-polynomials

DOI10.1007/BF01790345zbMath0652.33008OpenAlexW2075661516MaRDI QIDQ1106988

A. K. Agarwal, Hari M. Srivastava

Publication date: 1989

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01790345

zbMATH Keywords

generating functionsJacobi polynomialsHermite polynomialsLaguerre polynomialsq-polynomials

Mathematics Subject Classification ID

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

Related Items (17)

Generating functions for some families of the generalized Al-Salam-Carlitz \(q\)-polynomials ⋮ Homogeneous \(q\)-difference equations and generating functions for \(q\)-hypergeometric polynomials ⋮ New forms of the Cauchy operator and some of their applications ⋮ \(q\)-Riordan representation ⋮ Generalized homogeneous \(q\)-difference equations for \(q\)-polynomials and their applications to generating functions and fractional \(q\)-integrals ⋮ q-Difference equations of moment integrals for transformational identities and generating functions ⋮ A note on q-difference equations for Cigler’s polynomials ⋮ On Carlitz's trilinear generating functions ⋮ Some iterated fractional \(q\)-integrals and their applications ⋮ Generalizations of certain Carlitz's trilinear and Srivastava-Agarwal type generating functions ⋮ q-difference equations for homogeneous q-difference operators and their applications ⋮ Some \(q\)-generating functions of the Carlitz and Srivastava-Agarwal types associated with the generalized Hahn polynomials and the generalized Rogers-Szegö polynomials ⋮ Two new \(q\)-exponential operator identities and their applications ⋮ Notes on Askey-Roy integral and certain generating functions for \(q\)-polynomials ⋮ Unnamed Item ⋮ q-Difference equations for generalized homogeneousq-operators and certain generating functions ⋮ q-Difference equations for the generalized Cigler’s polynomials

Cites Work

• On the q-analog of Kummer's theorem and applications
• Some Orthogonal q‐Polynomials
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation
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