Bivariate generating functions for Rogers-Szegö polynomials
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Publication:606756
DOI10.1016/J.AMC.2010.07.021zbMath1205.33025OpenAlexW2051175824MaRDI QIDQ606756
Publication date: 18 November 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.07.021
Hahn polynomialsRogers-Szegö polynomialsoperator identitybivariate generating functiongeneral \(q\)-exponential operator
Related Items (10)
A Note onq-Integrals and Certain Generating Functions ⋮ q-Difference equations of moment integrals for transformational identities and generating functions ⋮ On Carlitz's trilinear generating functions ⋮ Moments for generating functions of Al-Salam-Carlitz polynomials ⋮ Generalizations of certain Carlitz's trilinear and Srivastava-Agarwal type generating functions ⋮ 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 ⋮ A note on moment integrals and some applications ⋮ q-Difference equations for generalized homogeneousq-operators and certain generating functions ⋮ Some new generating functions for \(q\)-Hahn polynomials
Cites Work
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- q-beta integrals and the q-Hermite polynomials
- Some multilinear generating functions for q-Hermite polynomials
- Parameter augmentation for basic hypergeometric series. II
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- Applications of operator identities to the multiple \(q\)-binomial theorem and \(q\)-Gauss summation theorem
- 𝑞-difference operators, orthogonal polynomials, and symmetric expansions
- On the Askey-Wilson and Rogers Polynomials
- The bivariate Rogers–Szegö polynomials
- Some Orthogonal q‐Polynomials
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- Some polynomials related to theta functions
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