Generalized homogeneous \(q\)-difference equations for \(q\)-polynomials and their applications to generating functions and fractional \(q\)-integrals
DOI10.1186/S13662-021-03484-9zbMath1494.39006OpenAlexW3179607986WikidataQ114061251 ScholiaQ114061251MaRDI QIDQ2167077
Sama Arjika, Jian Cao, Hong-Li Zhou
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03484-9
Srivastava-Agarwal-type generating functions\(U(n+1)\) type generating functionfractional \(q\)-integralshomogeneous \(q\)-difference equationsVerma-Jain polynomials
(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13) Basic hypergeometric integrals and functions defined by them (33D60)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two operator representations for the trivariate \(q\)-polynomials and Hahn polynomials
- On Carlitz's trilinear generating functions
- Generalizations of certain Carlitz's trilinear and Srivastava-Agarwal type generating functions
- Poisson kernel and multilinear generating functions of some orthogonal polynomials
- Another homogeneous \(q\)-difference operator
- Generating functions for a class of \(q\)-polynomials
- Balanced \(_ 3\phi_ 2\) summation theorems for \(U(n)\) basic hypergeometric series
- Some iterated fractional \(q\)-integrals and their applications
- Some families of multilinear \(q\)-generating functions and combinatorial \(q\)-series identities
- Generating functions for some families of the generalized Al-Salam-Carlitz \(q\)-polynomials
- A note on generalized \(q\)-difference equations for general Al-Salam-Carlitz polynomials
- Lectures on the theory of functions of several complex variables. Notes by Raghavan Narasimhan. Reprint
- 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
- A Note onq-Integrals and Certain Generating Functions
- Certain q-Polynomial Expansions for Functions of Several Variables
- q-difference equations for homogeneous q-difference operators and their applications
- Some Orthogonal q‐Polynomials
This page was built for publication: Generalized homogeneous \(q\)-difference equations for \(q\)-polynomials and their applications to generating functions and fractional \(q\)-integrals