Growth of local solutions to linear differential equations around an isolated essential singularity

Abstract

In this article we study the growth of solutions to a class of linear differential equations around an isolated essential singularity point. By using conformal mapping we apply some results from the complex plane to a neighborhood of a singular point. We point out that there are several similarities between the results for complex plane and results in this article.

Keywords

• Linear differential equations
• local growth of solutions
• isolated essential singularity