Expansions for solutions of the Schlesinger equation at a singular point
Classical Analysis and ODEs
2012-12-11 v1
Abstract
A local behavior of solutions of the Schlesinger equation is studied. We obtain expansions for this solutions, which converge in some neighborhood of a singular point. As a corollary the similar result for the sixth Painlev\'e equation was obtained. In our analysis, we use the isomonodromic approach to solve this problem.
Keywords
Cite
@article{arxiv.1212.2176,
title = {Expansions for solutions of the Schlesinger equation at a singular point},
author = {Ilya Vyugin},
journal= {arXiv preprint arXiv:1212.2176},
year = {2012}
}
Comments
7 pages