Differential inequality of the second derivative that leads to normality
Complex Variables
2011-12-30 v1
Abstract
Let F be a family of functions meromorphic in a domain D. If {|f|/(1+|f|^3):f in F} is locally uniformly bounded away from zero, then F is normal.
Keywords
Cite
@article{arxiv.1112.5780,
title = {Differential inequality of the second derivative that leads to normality},
author = {Qiaoyu Chen and Shahar Nevo and XueCheng Pang},
journal= {arXiv preprint arXiv:1112.5780},
year = {2011}
}