Integral representation of solutions to Fuchsian system and Heun's equation

Details Integral representation of solutions to Fuchsian system and Heun's equation Integral representation of solutions to Fuchsian system and Heun's equation

2007-05-23

arxiv.org/abs/0705.3358v2

Mathematics

Classical Analysis and ODEs

21 pages

Scientific paper

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.

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