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Abstract: Heun-s equation naturally appears as special cases of Fuchsian system ofdifferential equations of rank two with four singularities by introducing thespace of initial conditions of the sixth Painlev\-e equation. Middleconvolutions of the Fuchsian system are related with an integral transformationof Heun-s equation.



Author: Kouichi Takemura

Source: https://arxiv.org/







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