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Hypergeometric solutions to the q-Painlev\'e equation of type A4(1)A_4^{(1)}

Abstract

We consider the q-Painlev\'e equation of type A4(1)A_4^{(1)} (a version of q-Painlev\'e V equation) and construct a family of solutions expressible in terms of certain basic hypergeometric series. We also present the determinant formula for the solutions.Comment: 16 pages, IOP styl

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    Last time updated on 04/12/2019