Normality and Montel's Theorem
Complex Variables
2024-02-20 v1
Abstract
In this article, we prove a normality criterion for a family of meromorphic functions having zeros with some multiplicity which involves sharing of a holomorphic function by the members of the family. Our result generalizes Montel's normality test in a certain sense.
Cite
@article{arxiv.1909.00151,
title = {Normality and Montel's Theorem},
author = {Gopal Datt and Sanjay Kumar},
journal= {arXiv preprint arXiv:1909.00151},
year = {2024}
}