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The Addition Formula for Continuousq-Legendre Polynomials and Associated Spherical Elements on the $SU(2)$ Quantum Group Related to Askey–Wilson Polynomials

SIAM Journal on Mathematical Analysis, 1994
The paper is in continuation of the ongoing study on the interpretation of special functions of $q$-hypergeometric types on quantum groups. The author interprets a three parameter, of which one is discrete, family of Askey-Wilson polynomials as associated spherical elements on the $\text{SU}_q (2)$ quantum group.
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Double Affine Hecke Algebras of Rank 1 and the Z???-Symmetric Askey-Wilson Relations

2019
We consider the double affine Hecke algebra H=H(k???,k???,k???v,k???v;q) associated with the root system (C???v,C???). We display three elements x, y, z in H that satisfy essentially the Z???-symmetric Askey-Wilson relations. We obtain the relations as follows. We work with an algebra ??
Ito, T., Terwilliger, P.
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Distance-regular graphs of q -Racah type and the universal Askey–Wilson algebra

Journal of Combinatorial Theory - Series A, 2014
Paul M Terwilliger, Arjana Žitnik
exaly

The Heun–Askey–Wilson Algebra and the Heun Operator of Askey–Wilson Type

Annales Henri Poincare, 2019
Luc Vinet, Alexei Zhedanov
exaly

On the structure and probabilistic interpretation of Askey–Wilson densities and polynomials with complex parameters

Journal of Functional Analysis, 2011
Paweł J Szabłowski
exaly

A Polynomial Blossom for the Askey–Wilson Operator

Constructive Approximation, 2018
Ron Goldman
exaly

Casoratian identities for the Wilson and Askey–Wilson polynomials

Journal of Approximation Theory, 2015
Satoru Odake, Ryu Sasaki
exaly

Expansions in the Askey–Wilson polynomials

Journal of Mathematical Analysis and Applications, 2015
Mourad Ismail
exaly