Revisit Of Meromorphic Convex Functions

Abstract

Our primary aim is to explore a sufficient condition for the class of meromorphically convex functions of order $\alpha$, where $0\le \alpha <1$. 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.