Normal Criteria for Families of Meromorphic Functions

TL;DR

This paper establishes new normality criteria for families of meromorphic functions using Nevanlinna theory, focusing on conditions involving differential polynomials generated by the family members.

Contribution

It introduces novel normality criteria based on differential polynomial conditions, expanding the theoretical understanding of meromorphic function families.

Findings

Normality criteria established using Nevanlinna theory

Conditions involving differential polynomials are sufficient for normality

The results extend existing criteria for meromorphic functions

Abstract

By using Nevanlinna theory, we prove some normality criteria for a family of meromorphic functions under a condition on differential polynomials generated by the members of the family.