scholarly journals ON A CONJECTURE OF R. BRÜCK CONCERNING MEROMORPHIC FUNCTION SHARING SMALL FUNCTIONS

2017 ◽  
Vol 23 (1) ◽  
pp. 291-308 ◽  
Author(s):  
Hong Yan Xu ◽  
Cai Feng Yi ◽  
Hua Wang
Keyword(s):  
Meromorphic Function ◽  
Uniqueness Problem ◽  
Small Functions ◽  
Function Sharing

In this paper, we investigate the uniqueness problem on a conjecture of R. Brück concerning meromorphic function sharing the set of small functions with its derivative, and obtain some results which improve the theorems given by Zhang and Yang.

scholarly journals On the Uniqueness of Power of a Meromorphic Function Sharing a set with its k-Th Derivative

2018 ◽  
Vol 85 (1-2) ◽  
pp. 1
Author(s):  
Abhijit Banerjee ◽  
Bikash Chakraborty
Keyword(s):  
Meromorphic Function ◽  
Small Functions ◽  
Set Sharing ◽  
Function Sharing

<p>In the existing literature, many researchers consider the uniqueness of the power of a meromorphic function with its derivative counterpart share certain values or small functions. Here we consider the same problem under the aegis of a more general settings namely set sharing.</p>

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.

Uniqueness of meromorphic function with its shift operator under the purview of two or three shared sets

2019 ◽  
Vol 69 (3) ◽  
pp. 557-572
Author(s):  
Abhijit Banerjee ◽  
Molla Basir Ahamed
Keyword(s):  
Meromorphic Function ◽  
Shift Operator ◽  
Uniqueness Problem ◽  
Shared Set ◽  
Shared Sets

Abstract Taking two and three shared set problems into background, the uniqueness problem of a meromorphic function together with its shift operator have been studied. Our results will improve a number of recent results in the literature. Some examples have been provided in the last section to show that certain conditions used in the paper, is the best possible.

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