The Painlev\'e transcendents with solvable monodromy
Classical Analysis and ODEs
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0701241,
title = {The Painlev\'e transcendents with solvable monodromy},
author = {Kazuo Kaneko},
journal= {arXiv preprint arXiv:math/0701241},
year = {2007}
}
Comments
50 pages, 3 figures