## On the fundamental solutions of linear Fuchsian partial differential equations.(English)Zbl 1085.35004

This paper expresses the solutions given by 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.

### MSC:

 35A08 Fundamental solutions to PDEs 35C15 Integral representations of solutions to PDEs

### Keywords:

analytic coefficients; homogeneous Fuchsian PDE

Zbl 0993.35004
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