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Hypergeometric solutions to the q-Painlevé equation of type $A_4^{(1)}$

Taro Hamamoto·Kenji Kajiwara
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Abstract

We consider the q-Painlevé equation of type $A_4^{(1)}$ (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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Taro Hamamoto, Kenji Kajiwara. 2006-12-30. Hypergeometric solutions to the q-Painlevé equation of type $A_4^{(1)}$. https://doi.org/10.1088/1751-8113%2F40%2F42%2Fs01

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