Value sharing of meromorphic functions and Fang's problem

TL;DR

This paper investigates the uniqueness of meromorphic functions sharing a polynomial, providing a comprehensive solution to Fang Mingliang's problem and extending previous results in the field.

Contribution

It offers a complete answer to Fang Mingliang's problem and generalizes earlier work by Fang, Hua, Yang, Qiu, Lin, Yi, Zhang, and Xu.

Findings

Solved Fang Mingliang's problem on meromorphic functions sharing a polynomial

Generalized previous results in the field of meromorphic function uniqueness

Improved conditions for function sharing and uniqueness

Abstract

In this paper, we shall study the uniqueness problems on meromorphic functions sharing a polynomial. We give a complete answer to a problem posed by Fang Mingliang. Our results improve or generalize those given by Fang and Hua, Yang and Hua, Fang, Fang and Qiu, Lin and Yi, Zhang, Xu, et al.