A multiple \(q\)-translation formula and its implications
DOI10.1007/s10114-023-2237-0MaRDI QIDQ6145657
No author found.
Publication date: 9 January 2024
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
\(q\)-seriesRogers-Szegő polynomials\(q\)-beta integral\(q\)-translation\(q\)-exponential differential operator
(q)-calculus and related topics (05A30) Power series (including lacunary series) in one complex variable (30B10) 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) (q)-gamma functions, (q)-beta functions and integrals (33D05) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Power series, series of functions of several complex variables (32A05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Extensions of Ramanujan's reciprocity theorem and the Andrews-Askey integral
- Bailey's well-poised \(_{6}\psi _{6}\)-series implies the Askey-Wilson integral
- A \(q\)-extension of a partial differential equation and the Hahn polynomials
- Symmetry techniques for q-series: Askey-Wilson polynomials
- \(q\)-integral representation of the Al-Salam-Carlitz polynomials
- An identity of Andrews and the Askey-Wilson integral
- Some multilinear generating functions for q-Hermite polynomials
- Parameter augmentation for basic hypergeometric series. II
- An easy proof of the Askey-Wilson integral and applications of the method
- On a system of \(q\)-partial differential equations with applications to \(q\)-series
- Some operator identities and \(q\)-series transformation formulas
- Lectures on the theory of functions of several complex variables. Notes by Raghavan Narasimhan. Reprint
- A \(q\)-translation approach to Liu's calculus
- On a reduction formula for a kind of double \(q\)-integrals
- On the $q$-partial differential equations and $q$-series
- Twoq-difference equations andq-operator identities
- An extension of the non-terminating6φ5summation and the Askey–Wilson polynomials
- A Simple Evaluation of Askey and Wilson's q-Beta Integral
- Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
- On the Askey-Wilson and Rogers Polynomials
- Another q-Extension of the Beta Function
- Some Remarks on q-Beta Integral
- Some Properties of the q-Hermite Polynomials
- Complex Analysis: A Brief Tour into Higher Dimensions
- Two expansion formulas involving the Rogers–Szegő polynomials with applications
- Some polynomials related to theta functions
This page was built for publication: A multiple \(q\)-translation formula and its implications
