On Zeros and Fixed Points of Differences of Meromorphic Functions

Guowei Zhang; Jianming Qi; Yiyuan Zheng

doi:10.5666/KMJ.2018.58.4.689

Articles

Kyungpook Mathematical Journal 2018; 58(4): 689-695

Published online December 31, 2018

On Zeros and Fixed Points of Differences of Meromorphic Functions

Guowei Zhang^*, Jianming Qi, Yiyuan Zheng

School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan, 455000, China
e-mail : herrzgw@foxmail.com

Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 200240, China
e-mail : qijianmingsdju@163.com

Class 2015, National Economy Major, Wenlan School of Business, Zhongnan University of Economics and Law, Wuhan 430073, China
e-mail : 931730916@qq.com

Received: December 13, 2017; Revised: October 8, 2018; Accepted: October 16, 2018

Abstract

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Abstract

In this paper, we give some results on the zeros and fixed points of the difference and the divided difference of transcendental meromorphic functions. This improves on results of Langley.

Keywords: zeros, fixed points, difference, entire function, meromorphic function.