18 citations · 25 across the 3 of their papers we have counts for
3 papers
math.CA2010★ 7 cited
Integral transformation of Heun's equation and some applications
Kouichi Takemura
It is known that the Fuchsian differential equation which produces the sixth Painlevé equation corresponds to the Fuchsian differential equation with different parameters via Euler…
math.CA2008★ 18 cited
Middle Convolution and Heun's Equation
Kouichi Takemura
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 o…
math.CA2007
Towards Finite-Gap Integration of the Inozemtsev Model
Kouichi Takemura
The Inozemtsev model is considered to be a multivaluable generalization of Heun's equation. We review results on Heun's equation, the elliptic Calogero-Moser-Sutherland model and t…