Normality through partial sharing of sets with differential polynomials

TL;DR

This paper establishes new sufficient conditions for the normality of families of meromorphic functions using partial set sharing with differential polynomials, improving and generalizing existing results.

Contribution

It introduces novel criteria involving partial sharing of sets with differential polynomials to determine normality, extending previous theorems in the field.

Findings

New criteria for normality of meromorphic functions

Generalization of existing normality results

Improved conditions involving differential polynomials

Abstract

This article aims at finding sufficient conditions for a family of meromorphic functions to be normal by involving partial sharing of sets with differential polynomials. Moreover, corresponding results for normal meromorphic functions are also established which improve and generalize many known results.