Nonlinear differential polynomial sharing a nonzero polynomial with certain degree

Abstract

In this paper we study the uniqueness problems of meromorphic functions when
certain non-linear dierential polynomial sharing a nonzero polynomial with certain degree.
We obtain some results which will rectify, improve and generalize some recent results of C. Wu and J. Li [15] in a large extent. Our results will also improve and generalize some recent results due to Fang [5], Zhang-Zhang [24], Zhang [22], Xu et al. [16], Qi-Yang [14], Dou-Qi-Yang [4], Zhang-Xu [26] and Liu-Yang [13].