Construction of Hypergeometric Solutions to the q-Painlevé Equations

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Hypergeometric solutions to the q-Painlevé equations are constructed by direct linearization of disrcrete Riccati equations. The decoupling factors are explicitly determined so that the linear systems give rise to q-hypergeometric equations.
17 pages

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Exactly Solvable and Integrable Systems, Classical Analysis and ODEs

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http://salesiana.dossiersoluciones.com/handle/123456789/80927

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0501051
 http://arxiv.org/abs/nlin/0501051

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arXiv