Weighted sharing and uniqueness of entire or meromorphic functions

摘要

In this paper, we study the uniqueness problems of entire or meromorphic functions concerning differential polynomials that share one value with multiplicity using weighted sharing method. We prove two main theorems which generalize and improve the results of Fang and Fang cite{1}, Dyavanal cite{3} and others and also solve the open problem posed by Dyavanal. This method yields some new results.