Quasi-normality and Shared Functions

TL;DR

This paper establishes new sufficient conditions for quasi-normality in families of holomorphic functions based on shared functions between pairs.

Contribution

It introduces novel criteria linking shared functions to quasi-normality, advancing understanding in complex analysis.

Findings

Identifies conditions under which families are quasi-normal

Provides proofs connecting shared functions to quasi-normality

Enhances criteria for normality in holomorphic function families

Abstract

We prove two sufficient conditions of quasi-normality in which each pair $f$ and $g$ of $\mathcal{F}$ shares some holomorphic functions.