Meromorphic Function Sharing Sets with Its Difference Operator or Shifts

2019 ◽  
Vol 40 (3) ◽  
pp. 331-338
Author(s):  
Bingmao Deng ◽  
Chunlin Lei ◽  
Mingliang Fang
Keyword(s):  
Meromorphic Function ◽  
Difference Operator ◽  
Function Sharing

scholarly journals Growth of Meromorphic Function Sharing Functions and Some Uniqueness Problems

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Jianming Qi ◽  
Fanning Meng ◽  
Wenjun Yuan
Keyword(s):  
Meromorphic Function ◽  
Differential Equations ◽  
Meromorphic Functions ◽  
Meromorphic Solutions ◽  
Complex Differential Equations ◽  
Function Sharing

Estimating the growth of meromorphic solutions has been an important topic of research in complex differential equations. In this paper, we devoted to considering uniqueness problems by estimating the growth of meromorphic functions. Further, some examples are given to show that the conclusions are meaningful.

Power of meromorphic function sharing polynomials with derivative of it’s combination with it’s shift

2019 ◽  
Vol 69 (5) ◽  
pp. 1037-1052
Author(s):  
Sujoy Majumder ◽  
Somnath Saha
Keyword(s):  
Meromorphic Function ◽  
Transcendental Meromorphic Function ◽  
Function Sharing

Abstract In this paper we consider the situation when a power of a transcendental meromorphic function shares non-zero polynomials with derivative of it’s combination with it’s shift. Also we exhibit some examples to fortify the conditions of our results.

scholarly journals Fixed Points of Difference Operator of Meromorphic Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-4
Author(s):  
Zhaojun Wu ◽  
Hongyan Xu
Keyword(s):  
Meromorphic Function ◽  
Fixed Points ◽  
Meromorphic Functions ◽  
Difference Operator ◽  
Transcendental Meromorphic Function ◽  
Exact Difference ◽  
Borel Exceptional Values ◽  
Nevanlinna Deficiency

Letfbe a transcendental meromorphic function of order less than one. The authors prove that the exact differenceΔf=fz+1-fzhas infinitely many fixed points, ifa∈ℂand∞are Borel exceptional values (or Nevanlinna deficiency values) off. These results extend the related results obtained by Chen and Shon.

scholarly journals Uniqueness of Functions with Its Shifts or Difference Operators

2018 ◽  
Author(s):  
Rajshree Dhar
Keyword(s):  
Meromorphic Function ◽  
Finite Order ◽  
Difference Operator ◽  
Difference Operators

It is shown that if a non-constant meromorphic function f(z) is of finite order and shares certain values with its shifts/difference operators then f(z) coincides with that particular shift/difference operator.

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