English

Normality criteria for a family of meromorphic functions with multiple zeros

Complex Variables 2024-02-20 v6

Abstract

In this article, we prove some normality criteria for a family of meromorphic functions having zeros with some multiplicity. Our main result involves sharing of a holomorphic function by certain differential polynomials. Our results generalize some of the results of Fang and Zalcman and Chen et al to a great extent.

Keywords

Cite

@article{arxiv.1305.6214,
  title  = {Normality criteria for a family of meromorphic functions with multiple zeros},
  author = {Gopal Datt and Yuntong Li and Poonam Rani},
  journal= {arXiv preprint arXiv:1305.6214},
  year   = {2024}
}