On the uniqueness of meromorphic functions that share four values in one angular domain

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:358

Article

Cao, Ting-Bin¹  Yi, Hong-Xun² 

[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

[2] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China

关键词: Meromorphic function;    Uniqueness theorem;    Shared values;    Angular domain;   

DOI  :  10.1016/j.jmaa.2009.04.043

来源: Elsevier

【 摘 要 】

The main purpose of this paper is to investigate the uniqueness of transcendental meromorphic functions that share four values in one angular domain which is an unbounded subset of the whole complex plane. From one of our main results, a question of J.H. Zheng [J.H. Zheng, On uniqueness of meromorphic functions with shared values in one angular domain, Complex Var. Elliptic Equ. 48 (9) (2003) 777-785] is completely answered. Furthermore, we give an example to explain the necessity of the condition lim(r ->infinity) S-alpha,S-beta(r, f)/log(rT(r, f)) = infinity in our results. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free