Value distribution of certain differential polynomials leading to some normality criteria
Complex Variables
2023-03-10 v1
Abstract
In this paper, we prove some normality criteria concerning transitivity of normality from one family of meromorphic functions to another which improve and generalize some recent results. We also prove some value distribution results for certain differential polynomials which lead to some normality criteria involving sharing of holomorphic functions with certain differential polynomials. As a consequence, a counterexample to the converse of the Bloch's principle is also given.
Keywords
Cite
@article{arxiv.2303.05292,
title = {Value distribution of certain differential polynomials leading to some normality criteria},
author = {Kuldeep Singh Charak and Nikhil Bharti},
journal= {arXiv preprint arXiv:2303.05292},
year = {2023}
}
Comments
26 pages