Hypergeometric solutions to the q-Painlevé equations

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Hypergeometric solutions to seven q-Painlevé equations in Sakai's classification are constructed. Geometry of plane curves is used to reduce the q-Painlevé equations to the three-term recurrence relations for q-hypergeometric functions.
17 pages

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Exactly Solvable and Integrable Systems, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/80693

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0403036
 http://arxiv.org/abs/nlin/0403036

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arXiv