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Hypergeometric solutions to the q-Painlevé equation of type A4(1)

Taro Hamamoto, Kenji Kajiwara

nlin.SIarXiv:nlin/0701001

Abstract

We consider the q-Painlevé equation of type A4(1) (a version of q-Painlevé 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.

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