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math.CA2005★ 6 cited
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…
math.CA2005★ 2 cited
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…