Introduction to middle convolution for differential equations with irregular singularities

Details Introduction to middle convolution for differential equations with irregular singularities Introduction to middle convolution for differential equations with irregular singularities

2010-02-12

arxiv.org/abs/1002.2535v2

Mathematics

Classical Analysis and ODEs

24 pages

Scientific paper

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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