Multivariate Askey-Wilson functions and overlap coefficients
Abstract
We study certain overlap coefficients appearing in representation theory of the quantum algebra q(sl2()). The overlap coefficients can be identified as products of Askey-Wilson functions, leading to an algebraic interpretation of the multivariate Askey-Wilson functions introduced by Geronimo and Iliev. We use the underlying coalgebra structure to derive q-difference equations satisfied by the multivariate Askey-Wilson functions.
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