Uniqueness of Meromorphic Functions Sharing Values with their nth Order Exact Differences

2018 ◽  
Vol 45 (2) ◽  
pp. 321-334 ◽  
Author(s):  
Z. Gao ◽  
R. Korhonen ◽  
J. Zhang ◽  
Y. Zhang
Keyword(s):  
Meromorphic Functions ◽  
Sharing Values

On Sharing Values of Meromorphic Functions and Their Differences

2011 ◽  
Vol 63 (1-2) ◽  
pp. 557-565 ◽  
Author(s):  
Zong-Xuan Chen ◽  
Hong-Xun Yi
Keyword(s):  
Meromorphic Functions ◽  
Sharing Values

Uniqueness and periodicity for meromorphic functions with partial sharing values

2019 ◽  
Vol 69 (1) ◽  
pp. 99-110
Author(s):  
Weichuan Lin ◽  
Shengjiang Chen ◽  
Xiaoman Gao
Keyword(s):  
Uniqueness Theorem ◽  
Meromorphic Functions ◽  
Sharing Values ◽  
Hyper Order

Abstract We prove a periodic theorem of meromorphic functions of hyper-order ρ2(f) < 1. As an application, we obtain the corresponding uniqueness theorem on periodic meromorphic functions. In addition, we show the accuracy of the results by giving some examples.

scholarly journals The uniqueness problem for meromorphic functions in the unit disc sharing values and a set in an angular domain

2011 ◽  
Vol 109 (2) ◽  
pp. 240 ◽  
Author(s):  
Hong-Yan Xu ◽  
Cai-Feng Yi ◽  
Ting-Bin Cao
Keyword(s):  
Unit Disc ◽  
Meromorphic Functions ◽  
Shared Values ◽  
Uniqueness Problem ◽  
Angular Domain ◽  
Sharing Values

We investigate the uniqueness problem for meromorphic functions in the unit disc sharing four distinct values and one set in an angular domain, and obtain some relations between the Borel points and shared values of meromorphic functions in an angular domain. These results improve the theorem of Mao-Liu [10].

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