Some Uniqueness Theorems for Entire Functions

1940 ◽  
Vol 62 (1/4) ◽  
pp. 319 ◽  
Author(s):  
R. P. Boas
Keyword(s):  
Entire Functions ◽  
Uniqueness Theorems

Uniqueness theorems of entire functions with shared-set in an angular domain

2008 ◽  
Vol 24 (11) ◽  
pp. 1925-1934 ◽  
Author(s):  
Wei Chuan Lin ◽  
Seiki Mori ◽  
Hong Xun Yi
Keyword(s):  
Entire Functions ◽  
Uniqueness Theorems ◽  
Angular Domain ◽  
Shared Set

scholarly journals Uniqueness Theorems on Difference Monomials of Entire Functions

2012 ◽  
Vol 2012 ◽  
pp. 1-8
Author(s):  
Gang Wang ◽  
Deng-li Han ◽  
Zhi-Tao Wen
Keyword(s):  
Finite Order ◽  
Entire Functions ◽  
Uniqueness Theorems ◽  
Complex Constant ◽  
Transcendental Entire Functions ◽  
The Difference

The aim of this paper is to discuss the uniqueness of the difference monomialsfnf(z+c). It assumed thatfandgare transcendental entire functions with finite order andEk)(1,fnf(z+c))=Ek)(1,gng(z+c)), wherecis a nonzero complex constant andn,kare integers. It is proved that if one of the following holds (i)n≥6andk=3, (ii)n≥7andk=2, and (iii)n≥10andk=1, thenfg=t1orf=t2gfor some constantst2andt3which satisfyt2n+1=1andt3n+1=1. It is an improvement of the result of Qi, Yang and Liu.

scholarly journals Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
Baoqin Chen ◽  
Zongxuan Chen ◽  
Sheng Li
Keyword(s):  
Entire Function ◽  
Entire Functions ◽  
Difference Operators ◽  
Uniqueness Theorems ◽  
Difference Analogue ◽  
Function Sharing

We study the uniqueness problems on entire functions and their difference operators or shifts. Our main result is a difference analogue of a result of Jank-Mues-Volkmann, which is concerned with the uniqueness of the entire function sharing one finite value with its derivatives. Two relative results are proved, and examples are provided for our results.

scholarly journals Uniqueness theorems and normal families of entire functions and their derivatives

2009 ◽  
Vol 95 (1) ◽  
pp. 67-75 ◽  
Author(s):  
Feng Lü ◽  
Junfeng Xu ◽  
Hongxun Yi
Keyword(s):  
Entire Functions ◽  
Normal Families ◽  
Uniqueness Theorems
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