Introduction to middle convolution for differential equations with irregular singularities
Classical Analysis and ODEs
2017-08-23 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1002.2535,
title = {Introduction to middle convolution for differential equations with irregular singularities},
author = {Kouichi Takemura},
journal= {arXiv preprint arXiv:1002.2535},
year = {2017}
}
Comments
24 pages