Article ID Journal Published Year Pages File Type
4620921 Journal of Mathematical Analysis and Applications 2008 18 Pages PDF
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 Painlevé equation, and to Heun's equation.

Related Topics
Physical Sciences and Engineering Mathematics Analysis