Univalence criterion for meromorphic functions and Loewner chains
Erhan Den\'iz, Halit Orhan
TL;DR
This paper develops a more general univalence criterion for meromorphic functions in the unit disk, connecting it with existing results and providing a broader framework for univalence conditions.
Contribution
It introduces a generalized univalence criterion for meromorphic functions using Loewner chains, extending and unifying previous conditions.
Findings
Derived a new univalence condition for meromorphic functions
Showed how existing conditions are special cases of the new criterion
Established relationships between the new criterion and known results
Abstract
The object of the present paper is to obtain a more general condition for univalence of meromorphic functions in the U*. The significant relationships and relevance with other results are also given. A number of known univalent conditions would follow upon specializing the parameters involved in our main results.
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