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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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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
2019We 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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