On zeros and fixed points of differences of meromorphic functions

被引：84

作者：

Chen, Zong-Xuan ^{[2
]}

Shon, Kwang Ho ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Coll Nat Sci, Pusan 609735, South Korea

[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 344卷 / 01期

关键词：

complex difference; zero; fixed point;

D O I：

10.1016/j.jmaa.2008.02.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f be a transcendental meromorphic function and g(z) = f (z + 1) - f (z). A number of results are proved concerning the existences of zeros and fixed points of g (z) or g(z)/f (z) which expand results of Bergweiler and Langley [W. Bergweiler, J.K. Langley, Zeros of differences of meromorphic functions, Math. Proc. Cambridge Philos. Soc. 142 (2007) 133-147]. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：373 / 383

页数：11

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