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arXiv · 1002.2535

Introduction to middle convolution for differential equations with irregular singularities

Kouichi Takemura
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Abstract

We introduce middle convolution for systems of linear differential equations with irregular singular points, and we presend a tentative definition of the index of rigidity for them. Under some assumption, we show a list of terminal patterns of irreducible systems of linear differential equations by iterated application of middle convolution when the index is positive or zero.

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Kouichi Takemura. 2010-05-13. Introduction to middle convolution for differential equations with irregular singularities. https://doi.org/10.1142/9789814324373_0020

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