A Note on Normal Families Concerning Nonexceptional Functions and Differential Polynomials
Complex Variables
2025-07-03 v1
Abstract
We study normality of a family of meromorphic functions, whose differential polynomials satisfy a certain condition, which significantly improves and generalizes some recent results of Chen (Filomat, 31(14) 2017, 4665-4671). Moreover, we demonstrate, with the help of examples, that the result is sharp.
Cite
@article{arxiv.2506.09531,
title = {A Note on Normal Families Concerning Nonexceptional Functions and Differential Polynomials},
author = {Nikhil Bharti and Anil Singh},
journal= {arXiv preprint arXiv:2506.09531},
year = {2025}
}