On Carlitz's trilinear generating functions
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Publication:440970
DOI10.1016/j.amc.2012.03.059zbMath1250.33019OpenAlexW2002240219MaRDI QIDQ440970
Publication date: 19 August 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.03.059
Hahn polynomialsRogers-Szegő polynomialsCarlitz's \(q\)-operatorsCarlitz's generating functionstrilinear generating functions
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Cites Work
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- Bivariate generating functions for Rogers-Szegö polynomials
- Poisson kernel and multilinear generating functions of some orthogonal polynomials
- Operator identities involving the bivariate Rogers-Szegö polynomials and their applications to the multiple \(q\)-series identities
- New proofs of generating functions for Rogers-Szegö polynomials
- The combinatorics of q-Hermite polynomials and the Askey-Wilson integral
- Generating functions for a class of \(q\)-polynomials
- q-beta integrals and the q-Hermite polynomials
- Some multilinear generating functions for q-Hermite polynomials
- Balanced \(_ 3\phi_ 2\) summation theorems for \(U(n)\) basic hypergeometric series
- Some operator identities and \(q\)-series transformation formulas
- A characterization of the Rogers \(q\)-Hermite polynomials
- Generating functions for certain q-orthogonal polynomials
- Carlitz and the general \(_{3}\varphi_{2}\)
- Applications of operator identities to the multiple \(q\)-binomial theorem and \(q\)-Gauss summation theorem
- Twoq-difference equations andq-operator identities
- On the Askey-Wilson and Rogers Polynomials
- An operator approach to the Al-Salam–Carlitz polynomials
- Some Orthogonal q‐Polynomials
- Some polynomials related to theta functions
- Some polynomials related to theta functions
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