Uniqueness of meromorphic functions sharing a nonzero polynomial with finite weight

Abstract

With the aid of weighted value sharing we study the uniqueness of meromorphic functions concerning nonlinear differential polynomials that share a nonzero polynomial and prove a uniqueness theorem which improve a result due to X.M. Li and L. Gao [Bull. Korean Math. Soc. 47(2010), 319–339] as well as two recent results of the present author [Vietnam J. Math. 39:1(2011), 49–62] and [Math. Bohemica 137:3(2012)].