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Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials

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arxiv math/0410249 v1 pith:LY3K7CR5 submitted 2004-10-10 math.CA

George Gasper , Mizan Rahman This is my paper · ORCID
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keywords systemsmultivariableorthogonalpolynomialsaskey-wilsoncasesderivedlimit
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In 1991 Tratnik derived two systems of multivariable orthogonal Wilson polynomials and considered their limit cases. q-Analogues of these systems are derived, yielding systems of multivariable orthogonal Askey-Wilson polynomials and their special and limit cases.

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  1. The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions

    math.QA 2026-07 conditional novelty 6.0 of 10

    Bivariate q-Racah-type functions are realized as overlaps of six distinguished eigenbases in tensor-product evaluation representations of L U_q sl2, one family linked to tridiagonal pairs and another conjecturally to ...

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