Expansions for solutions of the Schlesinger equation at a singular point

Autor:	Vyugin, Ilya
Rok vydání:	2012
Předmět:	Mathematics - Classical Analysis and ODEs 34M56 34M55 34M03
Druh dokumentu:	Working Paper
Popis:	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. Comment: 7 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1212.2176 Zobrazit plný text záznamu View this record from Arxiv