Integral representation of solutions to Fuchsian system and Heun's equation
Classical Analysis and ODEs
2015-05-13 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We obtain integral representations of solutions to special cases of the Fuchsian system of differential equations and Heun's differential equation. In particular, we calculate the monodromy of solutions to the Fuchsian equation that corresponds to Picard's solution of the sixth Painlev\'e equation, and to Heun's equation.
Keywords
Cite
@article{arxiv.0705.3358,
title = {Integral representation of solutions to Fuchsian system and Heun's equation},
author = {Kouichi Takemura},
journal= {arXiv preprint arXiv:0705.3358},
year = {2015}
}
Comments
21 pages