Another homogeneous \(q\)-difference operator
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Publication:961631
DOI10.1016/j.amc.2009.12.061zbMath1196.39005OpenAlexW1976245206MaRDI QIDQ961631
Publication date: 31 March 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.12.061
Rogers-Szegő polynomialsCauchy polynomialsGoldman-Rota \(q\)-binomial identitythe homogeneous \(q\)-shift operator
Related Items (11)
Homogeneous \(q\)-difference equations and generating functions for \(q\)-hypergeometric polynomials ⋮ New forms of the Cauchy operator and some of their applications ⋮ Two operator representations for the trivariate \(q\)-polynomials and Hahn polynomials ⋮ Generalized homogeneous \(q\)-difference equations for \(q\)-polynomials and their applications to generating functions and fractional \(q\)-integrals ⋮ q-difference equations for homogeneous q-difference operators and their applications ⋮ \((q,c)\)-derivative operator and its applications ⋮ New application of the Cauchy operator on the homogeneous Rogers-Szegö polynomials ⋮ Unnamed Item ⋮ q-Difference equations for generalized homogeneousq-operators and certain generating functions ⋮ q-Difference equations for the generalized Cigler’s polynomials ⋮ Some new generating functions for \(q\)-Hahn polynomials
Cites Work
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- More on the umbral calculus, with emphasis on the \(q\)-umbral calculus
- \(q\)-extension of identities of Abel-Rothe type
- A q-umbral calculus
- The theory of the umbral calculus. I
- The homogeneous \(q\)-difference operator
- Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
- Applications of Basic Hypergeometric Functions
- On the Foundations of Combinatorial Theory IV Finite Vector Spaces and Eulerian Generating Functions
- On the Foundations of Combinatorial Theory V, Eulerian Differential Operators
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