# Elementary considerations for classes of meromorphic univalent functions

## TL;DR

This paper provides an elementary proof of a sufficient univalence condition for meromorphic functions in the unit disk, simplifying and generalizing existing criteria, and addresses key problems in geometric function theory with elementary solutions.

## Contribution

It introduces a simplified, generalized univalence condition for meromorphic functions and offers elementary solutions to classical problems in geometric function theory.

## Key findings

- Established a new sufficient univalence condition
- Simplified existing criteria for meromorphic functions
- Provided elementary solutions to classical geometric problems

## Abstract

In this article we consider functions $f$ meromorphic in the unit disk. We give an elementary proof for a condition that is sufficient for the univalence of such functions. This condition simplifies and generalizes known conditions. We present some typical problems of geometrical function theory and give elementary solutions in the case of the above functions.