Univalence Criteria and Quasiconformal Extensions
Murat \c{C}a\u{g}lar, Halit Orhan
TL;DR
This paper introduces broader univalence conditions for analytic functions in the unit disk and refines criteria for their quasiconformal extensions, advancing the theoretical understanding of these function classes.
Contribution
It provides more general univalence criteria and improves quasiconformal extension conditions for analytic functions.
Findings
New univalence conditions for analytic functions
Refined criteria for quasiconformal extensions
Broader applicability of extension theorems
Abstract
In the present paper, we obtain a more general conditions for univalence of analytic functions in the open unit disk U. Also, we obtain a refinement to a quasiconformal extension criterion of the main result.
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Taxonomy
TopicsAnalytic and geometric function theory · Holomorphic and Operator Theory · Polymer Synthesis and Characterization