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math.CA2007★ 11 cited
Integral representation of solutions to Fuchsian system and Heun's equation
Kouichi Takemura
We obtain integral representations of solutions to special cases of the Fuchsian system of differential equations and Heun's differential equation. In particular, we calculate the…
math.CA2007★ 5 cited
Finite-gap potential, Heun's differential equation and WKB analysis
Kouichi Takemura
We review several results on the finite-gap potential and Heun's differential equation, and we discuss relationships among the finite-gap potential, the WKB analysis and Heun's dif…