The Painlevé transcendents with solvable monodromy

Details The Painlevé transcendents with solvable monodromy The Painlevé transcendents with solvable monodromy

2007-01-09

arxiv.org/abs/math/0701241v1

Mathematics

Classical Analysis and ODEs

50 pages, 3 figures

Scientific paper

We will study special solutions of the fourth, fifth and sixth Painlev\'e
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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