On the fundamental solutions of linear Fuchsian partial differential equations (Q1768152)

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scientific article; zbMATH DE number 2145468
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On the fundamental solutions of linear Fuchsian partial differential equations
scientific article; zbMATH DE number 2145468

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    On the fundamental solutions of linear Fuchsian partial differential equations (English)
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    14 March 2005
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    This paper expresses the solutions given by \textit{T. Mandai} [J. Math. Soc. Japan 52, 645--672 (2000; Zbl 0993.35004)], for a homogeneous Fuchsian partial differential equation (PDE) with holomorphic coefficients, in the form of an integral involving a kernel which is holomorphic for \(t\) in the universal covering of a pointed disc.
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    analytic coefficients
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    homogeneous Fuchsian PDE
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