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The Askey-Wilson polynomials are a 4-parameter amily of q-orthogonal polynomials expressed by the basic hypergeometric series 48. As special cases, it provides arious types of q-Jacobi polynomials such as little, big and continuous q-Jacobi polynomials. In this note, we report that a (par- tially discrete) 4-parameter family o Askey-Wilson polynomials is realized as "doubly associated spherical functions" on the quantum group SUq(2).
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Noumi et al. (1990) studied this question.
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