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

## TL;DR

This paper classifies singularities of second order linear differential equations using point transformations and explores their symmetry properties.

## Contribution

It offers a local classification of singularities and analyzes the Lie algebra of symmetries for these singularities.

## Key findings

- Classification of singularities under point transformations
- Determination of Lie algebra of symmetries for singularities
- Framework for analyzing equivalence of differential equation singularities

## 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.