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Terminating basic hypergeometric representations and transformations for the Askey-Wilson polynomials (2006.14021v2)
Published 24 Jun 2020 in math.CA
Abstract: In this survey paper, we exhaustively explore the terminating basic hypergeometric representations of the Askey-Wilson polynomials and the corresponding terminating basic hypergeometric transformations that these polynomials satisfy. From the terminating basic hypergeometric representations of these polynomials, and due to symmetry in their free parameters, we are able to exhaustively explore the terminating basic hypergeometric transformation formulae which these polynomials satisfy.
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