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

Q α-Normal Families and Entire Functions

2012 ◽  
Vol 12 (2) ◽  
pp. 597-651
Author(s):  
Shai Gul ◽  
Shahar Nevo
Keyword(s):  
Entire Functions ◽  
Normal Families

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.

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