English

Revisit Of Meromorphic Convex Functions

Complex Variables 2025-05-13 v1

Abstract

Our primary aim is to explore a sufficient condition for the class of meromorphically convex functions of order α\alpha, where 0α<10 \leq \alpha < 1. The investigation will focus on studying a class of continuous functions defined on [0,1)[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.

Keywords

Cite

@article{arxiv.2505.07504,
  title  = {Revisit Of Meromorphic Convex Functions},
  author = {Vibhuti Arora and Vinayak M},
  journal= {arXiv preprint arXiv:2505.07504},
  year   = {2025}
}