Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2016; 31(3): 467-481

Printed July 31, 2016

https://doi.org/10.4134/CKMS.c150140

Copyright © The Korean Mathematical Society.

Results on meromorphic functions sharing three values CM in some angular domains

Xiao-Min Li, Xue-Feng Liu, and Hong-Xun Yi

Ocean University of China, Ocean University of China, Shandong University

Abstract

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We study the uniqueness question of transcendental meromorphic functions that share three values CM in some angular domains instead of the whole complex plane. The results in this paper extend the corresponding results in Zheng \cite{13, 14} and Yi \cite{10}. Some examples are given to show that the results in this paper, in a sense, are the best possible.

Keywords: Nevanlinna theory, meromorphic functionsm, shared values, uniqueness theorems

MSC numbers: Primary 30D35, 30D30

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