Value Sharing of Certain Differential Polynomials and Their Shifts of Meromorphic Functions

被引：0
作者：
Xiao-Min Li
Hong-Xun Yi
Yue Shi
机构：
[1] Ocean University of China,Department of Mathematics
[2] University of Eastern Finland,Department of Physics and Mathematics
[3] Shandong University,Department of Mathematics
来源：
Computational Methods and Function Theory | 2014年 / 14卷
关键词：
Meromorphic functions; Shared values; Differential polynomials; Uniqueness theorems; 30D35; 30D30;
D O I：
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中图分类号：
学科分类号：
摘要：
Using Zalcman’s lemma, we study a uniqueness question of meromorphic functions, where the meromorphic functions and their certain non-linear differential polynomials share a non-zero value with their shifts. The results in this paper extends Theorem 1 in Yang and Hua (Ann Acad Sci Fenn Math 22:395–406, 1997) and Theorem 1 in Fang (Comput Math Appl 44:823–831, 2002). Our reasoning in this paper also corrects the proof of Theorem 4 in Bhoosnurmath and Dyavanal (Comput Math Appl 53:1191–1205, 2007).
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页码：63 / 84
页数：21
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