Some differential inequalities and criteria for univalency in the unit disk
M. Obradovic, N. Tuneski
TL;DR
This paper develops new differential inequalities using Jack's lemma to establish novel criteria for univalence of analytic functions within the unit disk.
Contribution
It introduces new univalence criteria based on differential inequalities derived from Jack's lemma, advancing the theoretical understanding of analytic functions.
Findings
New differential inequalities for analytic functions
Criteria for univalence in the unit disk
Enhanced theoretical framework for univalent functions
Abstract
In this paper, Jack lemma is used for obtaining several differential inequalities over analytic functions that later on, lead to new criteria for univalency in the unit disk.
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Taxonomy
TopicsAnalytic and geometric function theory · Mathematical Inequalities and Applications · Differential Equations and Boundary Problems