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arXiv · 1212.2176

Expansions for solutions of the Schlesinger equation at a singular point

Ilya Vyugin
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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.

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Ilya Vyugin. 2012-12-10. Expansions for solutions of the Schlesinger equation at a singular point. https://arxiv.org/abs/1212.2176

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