Normality criteria concerning composite meromorphic functions

TL;DR

This paper establishes new normality criteria for families of meromorphic functions based on sharing a holomorphic function via differential polynomials, extending recent research in the field.

Contribution

It introduces novel normality criteria involving differential polynomials and sharing conditions, expanding the theoretical understanding of meromorphic functions.

Findings

New normality criteria involving differential polynomials.

Extension of previous results in the literature.

Broader conditions for meromorphic function families.

Abstract

In this paper, we prove normality criteria for families of meromorphic functions involving sharing of a holomorphic function by a certain class of differential polynomials. Results in this paper extends the works of different authors carried out in recent years.