English

On equivalence of singularities of linear second order ordinary differential equations by point transformations

Classical Analysis and ODEs 2019-04-09 v1

Abstract

The article provides a local classification of singularities of meromorphic second order linear differential equation with respect to analytic/meromorphic linear point transformations. It also addresses the problem of determining the Lie algebra of analytic linear infinitesimal symmetries of the singularities.

Keywords

Cite

@article{arxiv.1904.03426,
  title  = {On equivalence of singularities of linear second order ordinary differential equations by point transformations},
  author = {Martin Klimes},
  journal= {arXiv preprint arXiv:1904.03426},
  year   = {2019}
}