Normality from one family of meromorphic functions to another through sharing of values
Complex Variables
2021-04-02 v1
Abstract
Let F and G be two families of meromorphic functions on a domain D, and let a, b and c be three distinct points in the extended complex plane. Let G be a normal family in D such that all limit functions of G are non-constant. If for each f in F, there exists g in G such that f and g share a, b and c partially, then F is normal in D. This gives a sharp improvement of a result due to X. J. Liu, S. H. Li and X. C. Pang. We also prove some interesting related sharp results.
Cite
@article{arxiv.2104.00532,
title = {Normality from one family of meromorphic functions to another through sharing of values},
author = {Kuldeep Singh Charak and Manish Kumar and Rahul Kumar},
journal= {arXiv preprint arXiv:2104.00532},
year = {2021}
}
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