Middle Convolution and Heun's Equation

Details Middle Convolution and Heun's Equation Middle Convolution and Heun's Equation

2008-10-17

arxiv.org/abs/0810.3112v3

SIGMA 5 (2009), 040, 22 pages

Mathematics

Classical Analysis and ODEs

Scientific paper

10.3842/SIGMA.2009.040

Heun's equation naturally appears as special cases of Fuchsian system of
differential equations of rank two with four singularities by introducing the
space of initial conditions of the sixth Painlev\'e equation. Middle
convolutions of the Fuchsian system are related with an integral transformation
of Heun's equation.

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