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We derive explicit representations and complete asymptotic expansions for the Askey–Wilson ₄ φ ₃ polynomials and the little and big q-Jacobi polynomials. We also give an alternate proof of a Dirichlet–Mehler type formula for the continuous q-ultraspherical polynomials. We also determine the asymptotic behavior of the q-Racah polynomials.
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Mourad E. H. Ismail (1986) studied this question.
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