The uniqueness of the entire functions whose n-th powers share a small function with their derivatives

被引：5

作者：

Zhang, Jie ^{[1
]}

Kang, Hai Yan ^{[1
]}

Liao, Liang Wen ^{[2
]}

机构：

[1] China Univ Min & Technol, Coll Sci, Xuzhou 221116, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2014年 / 30卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Uniqueness; entire function; share values; small function;

D O I：

10.1007/s10114-014-3365-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the following result: Let f(z) be a transcendental entire function, Q(z) a parts per thousand cent 0 be a small function of f(z), and n a parts per thousand yen 2 be a positive integer. If f (n) (z) and (f (n) (z))' share Q(z) CM, then , where c is a nonzero constant. This result extends Lv's result from the case of polynomial to small entire function.

引用

页码：785 / 792

页数：8

共 10 条

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