Revisit Of Meromorphic Convex Functions
Vibhuti Arora, Vinayak M

TL;DR
This paper investigates sufficient conditions for meromorphically convex functions of order alpha, introduces a new subclass, and analyzes properties related to Schwarzian norms and local univalence.
Contribution
It provides new criteria for meromorphic convexity, introduces a novel subclass, and studies their properties, advancing understanding of meromorphic function behavior.
Findings
Established sufficient conditions for meromorphic convexity
Introduced and characterized a new subclass of meromorphic functions
Analyzed Schwarzian norm properties of locally univalent functions
Abstract
Our primary aim is to explore a sufficient condition for the class of meromorphically convex functions of order , where . The investigation will focus on studying a class of continuous functions defined on , and analyzing the properties of the Schwarzian norm of locally univalent meromorphic functions. Moreover, a new subclass of meromorphic functions is also introduced, and some of its characteristics are examined.
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Taxonomy
TopicsAnalytic and geometric function theory · Meromorphic and Entire Functions · Holomorphic and Operator Theory
