Zeros and fixed points of the linear combination of shifts of a meromorphic function

被引：0

作者：

Cui, Weiwei ^{[1
]}

Yang, Lianzhong ^{[1
]}

Qi, Xiaoguang ^{[2
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

[2] Univ Jinan, Sch Math, Jinan 250022, Shandong, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

关键词：

entire functions; meromorphic functions; complex difference; fixed points; zeros; shift; OPERATOR;

D O I：

10.1186/s13662-015-0632-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f be transcendental and meromorphic in the complex plane. In this article, we investigate the existences of zeros and fixed points of the linear combination and quotients of shifts of f (z) when f (z) is of order one. We also prove a result concerning the linear combination which extends a result of Bergweiler and Langley. Some results concerning the order of f (z) < 1 are also obtained.

引用

页数：14

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