Further results on normal families of meromorphic functions concerning shared values

TL;DR

This paper establishes new criteria for the normality of families of meromorphic functions based on shared values, extending previous results and demonstrating their sharpness through examples.

Contribution

It introduces generalized normality criteria for meromorphic functions concerning shared values, broadening the scope of earlier theorems by Hu and Meng.

Findings

New normality criteria proven for families of meromorphic functions

Results generalize and extend previous theorems by Hu and Meng

Examples provided demonstrate the sharpness of the criteria

Abstract

In this paper, we prove two normality criteria for families of some functions concerning shared values, the results generalize those given by Hu and Meng. Some examples are given to show the sharpness of our results.