scholarly journals Meromorphic Functions with Three Weighted Sharing Values

2008 ◽  
Vol 48 (4) ◽  
pp. 623-636
Author(s):  
Xiao-Min Li ◽  
Hong-Xun Yi
Keyword(s):  
Meromorphic Functions ◽  
Weighted Sharing ◽  
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 of meromorphic functions sharing two sets with finite weight ii

2010 ◽  
Vol 41 (4) ◽  
pp. 379-392
Author(s):  
Abhijit Banerjee
Keyword(s):  
Present Author ◽  
Meromorphic Functions ◽  
Uniqueness Theorems ◽  
Weighted Sharing

With the help of the notion of weighted sharing of sets we deal with the well known question of Gross and prove some uniqueness theorems on meromorphic functions sharing two sets. Our results will improve and supplement some recent results of the present author.

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 Results on weighted sharing of values for meromorphic functions

2007 ◽  
Vol 92 (1) ◽  
pp. 55-67 ◽  
Author(s):  
Xiao-Min Li ◽  
Hong-Xun Yi
Keyword(s):  
Meromorphic Functions ◽  
Weighted Sharing

scholarly journals Uniqueness of meromorphic functions with their reduced linear c-shift operators sharing two or more values or sets

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Abhijit Banerjee ◽  
Saikat Bhattacharyya
Keyword(s):  
Complex Plane ◽  
Meromorphic Functions ◽  
Shift Operator ◽  
Future Research ◽  
Weighted Sharing ◽  
Shift Operators ◽  
Extended Complex ◽  
Open Question ◽  
Extended Complex Plane

AbstractIn the paper, we introduce a new notion of reduced linear c-shift operator $L _{c}^{r}\,f$Lcrf, and with the aid of this new operator, we study the uniqueness of meromorphic functions $f(z)$f(z) and $L_{c}^{r}\,f$Lcrf sharing two or more values in the extended complex plane. The results obtained in the paper significantly improve a number of existing results. Further, using the notion of weighted sharing of sets, we deal the same problem. We exhibit a handful number of examples to justify certain statements relevant to the content of the paper. We are also able to determine the form of the function that coincides with its reduced linear c-shift operator. At the end of the paper, we pose an open question for future research.

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