Value distribution and uniqueness of difference polynomials and entire solutions of difference equations

被引：20
|
作者：
Qi, Xiaoguang [1 ]
机构：
[1] Univ Jinan, Sch Math, Jinan 250022, Peoples R China
来源：
ANNALES POLONICI MATHEMATICI | 2011年 / 102卷 / 02期
关键词：
entire functions; difference; sharing value; MEROMORPHIC FUNCTIONS; OPERATOR;
D O I：
10.4064/ap102-2-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to value distribution and uniqueness problems for difference polynomials of entire functions such as f(n)(f - 1)f(z + c). We also consider sharing value problems for (z) and its shifts f(z + c), and improve some recent results of Heittokangas et al. [J. Math. Anal. Appl. 355 (2009), 352-363]. Finally, we obtain some results on the existence of entire solutions of a difference equation of the form f(n) + P(z)(Delta(c)f)(m) = Q(z).
引用
收藏
页码：129 / 142
页数：14
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