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The Painlevé transcendents with solvable monodromy

Kazuo Kaneko
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Abstract

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.

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Kazuo Kaneko. 2007-01-09. The Painlevé transcendents with solvable monodromy. https://arxiv.org/abs/math/0701241

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