33 citations · 339 across the 43 of their papers we have counts for
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The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations
Kouichi Takemura
We obtain isomonodromic transformations for Heun's equation by generalizing Darboux transformation, and we find pairs and triplets of Heun's equation which have the same monodromy…
The Hermite-Krichever ansatz for Fuchsian equations with applications to the sixth Painlevé equation and to finite-gap potentials
Kouichi Takemura
Several results including integral representation of solutions and Hermite-Krichever Ansatz on Heun's equation are generalized to a certain class of Fuchsian differential equations…
Heun equation and Painlevé equation
Kouichi Takemura
We relate two parameter solutions of the sixth Painlevé equation and finite-gap solutions of the Heun equation by considering monodromy on a certain class of Fuchsian differential…
Fuchsian equation, Hermite-Krichever Ansatz and Painlevé equation
Kouichi Takemura
Several results on Heun's equation are generalized to a certain class of Fuchsian differential equations. Namely, we obtain integral representations of solutions and develop Hermit…