Bailey's well-poised \(_{6}\psi _{6}\)-series implies the Askey-Wilson integral
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Publication:616454
DOI10.1016/j.jcta.2009.10.011zbMath1236.33033OpenAlexW2054329545MaRDI QIDQ616454
Publication date: 7 January 2011
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcta.2009.10.011
Related Items (5)
\(q\)-difference equations for Askey-Wilson type integrals via \(q\)-polynomials ⋮ A multiple \(q\)-translation formula and its implications ⋮ An equivalency of Bailey’s very-well-poised $_6\psi _6$ summation and Weierstrass’ theta function identity ⋮ Two expansion formulas involving the Rogers–Szegő polynomials with applications ⋮ Generalizations of Ramanujan's reciprocity formula and the Askey-Wilson integral
Cites Work
- Basic bilateral very well-poised series and Shukla's \(_8\psi_8\)-summation formula
- An identity of Andrews and the Askey-Wilson integral
- The combinatorics of q-Hermite polynomials and the Askey-Wilson integral
- An extension of Askey-Wilson's \(q\)-beta integral and its applications
- An easy proof of the Askey-Wilson integral and applications of the method
- Bailey's very well-poised \(_6\psi_6\)-series identity
- A Simple Evaluation of Askey and Wilson's q-Beta Integral
- Projection Formulas, a Reproducing Kernel and a Generating Function for q-Wilson Polynomials
- Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
- An integral Representation of a 10ϕ9 and Continuous Bi-Orthogonal 10ϕ9 Rational Functions
- Jacobi Polynomials Associated with Selberg Integrals
- On the Askey-Wilson and Rogers Polynomials
- Some Extensions of Askey-Wilson's Q-Beta Integral and the Corresponding Orthogonal Systems
- SERIES OF HYPERGEOMETRIC TYPE WHICH ARE INFINITE IN BOTH DIRECTIONS
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