Askey-Wilson integral and its generalizations
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Publication:307365
DOI10.1186/1687-1847-2014-316zbMath1347.33038arXiv1112.4830OpenAlexW2112816423WikidataQ59398916 ScholiaQ59398916MaRDI QIDQ307365
Publication date: 1 September 2016
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.4830
symmetric functions\(q\)-Hermite polynomialsAskey-Wilson integralAskey-Wilson polynomialsexpansion of ratio of densities
(q)-calculus and related topics (05A30) Symmetric functions and generalizations (05E05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)
Related Items (3)
On the families of polynomials forming a part of the Askey–Wilson scheme and their probabilistic applications ⋮ On the generalized Kesten–McKay distributions ⋮ Moments of \(q\)-normal and conditional \(q\)-normal distributions
Cites Work
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- On the structure and probabilistic interpretation of Askey-Wilson densities and polynomials with complex parameters
- Expansions of one density via polynomials orthogonal with respect to the other
- A new proof of the Askey-Wilson integral via a five-variable Ramanujan's reciprocity theorem
- An identity of Andrews and the Askey-Wilson integral
- The combinatorics of q-Hermite polynomials and the Askey-Wilson integral
- Stationary random fields with linear regressions
- Generating functions for certain q-orthogonal polynomials
- On the \(q\)-analog of the Laplace transform
- Staircase tableaux, the asymmetric exclusion process, and Askey-Wilson polynomials
- Probabilistic aspects of Al-Salam–Chihara polynomials
- On peculiar properties of generating functions of some orthogonal polynomials
- Befriending Askey–Wilson polynomials
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- On q-Hermite polynomials and their relationship with some other families of orthogonal polynomials
- Some polynomials related to theta functions
- Some polynomials related to theta functions
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