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

页码：129 / 142

页数：14

共 19 条

[1]

Bergweiler W, 1995, REV MAT IBEROAM, V11, P355

[2] On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane [J].