Expansions for solutions of the Schlesinger equation at a singular point
arXiv:1212.2176
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 Painlevé equation was obtained. In our analysis, we use the isomonodromic approach to solve this problem.
7 pages