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

Kenji Kajiwara; Taro Hamamoto

arxiv: nlin/0701001 · v1 · submitted 2006-12-30 · 🌊 nlin.SI · math.CA

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

Taro Hamamoto , Kenji Kajiwara This is my paper

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keywords equationq-painlevsolutionshypergeometrictypebasiccertainconsider

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We consider the q-Painlev\'e equation of type $A_4^{(1)}$ (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.

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

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