Uniqueness of meromorphic functions whose certain nonlinear differential polynomials share a polynomial期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Uniqueness of meromorphic functions whose certain nonlinear differential polynomials share a polynomial

Authors:	Xiao-Min Li Hong-Xun Yi

Affiliation:	^a Department of Mathematics, Ocean University of China, Qingdao, Shandong 266100, People’s Republic of China ^b Department of Physics and Mathematics, University of Eastern Finland, P.O. Box 111, FI-80101 Joensuu, Finland ^c Department of Mathematics, Shandong University, Jinan, Shandong 250100, People’s Republic of China

Abstract:	In this paper, we get two uniqueness theorems of meromorphic functions whose certain nonlinear differential polynomials share a polynomial. The results in this paper extend the corresponding results given by Fang (2002) in 7]. Our reasoning in this paper will correct a defective reasoning in the proof of Theorem 4 in Bhoosnurmath and Dyavanal (2007) 8]. An example is provided to show that some conditions of the main results in this paper are necessary.

Keywords:	Meromorphic functions Shared values Differential polynomial Uniqueness theorems
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