Middle Convolution and Heun’s Equation


Kouichi Takemura

13:00:00 - 14:30:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Heun’s equation naturally appears as special cases of Fuchsian system of differential equations of rank two with four singularities by introducing the spaces of initial conditions of the sixth Painlevé equation. Middle convolution of the Fuchsian system are related with an integral transformation of Heun’s equation.

Keywords: Heun’s equation; the space of initial conditions; the sixth Painlevé equation; middle equation.

2000 Mathematics Subject Classification: 34M35; 33E10; 34M55