Revisit Of Meromorphic Convex Functions

Abstract

Our primary aim is to explore a sufficient condition for the class of meromorphically convex functions of order α, where 0 ≤ α < 1. The investigation will focus on studying a class of continuous functions defined on [0,1), 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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