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**Growth of local solutions to linear differential equations around an isolated essential singularity.**
*(English)*
Zbl 1352.34113

Summary: 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.

### MSC:

34M10 | Oscillation, growth of solutions to ordinary differential equations in the complex domain |

30D35 | Value distribution of meromorphic functions of one complex variable, Nevanlinna theory |

34M03 | Linear ordinary differential equations and systems in the complex domain |

34M35 | Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms |