The Painlevé transcendents with solvable monodromy

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We will study special solutions of the fourth, fifth and sixth Painlevé equations with generic values of parameters whose linear monodromy can be calculated explicitly. We will show the relation between Umemura's classical solutions and our solutions.
50 pages, 3 figures

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Classical Analysis and ODEs, 34M55; 33C15

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http://salesiana.dossiersoluciones.com/handle/123456789/121450

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701241
 http://arxiv.org/abs/math/0701241

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arXiv