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2012 Uniqueness Theorems on Difference Monomials of Entire Functions
Gang Wang, Deng-li Han, Zhi-Tao Wen
Abstr. Appl. Anal. 2012(SI13): 1-8 (2012). DOI: 10.1155/2012/407351


The aim of this paper is to discuss the uniqueness of the difference monomials fnf(z+c). It assumed that f and g are transcendental entire functions with finite order and Ek)(1,fnf(z+c))=Ek)(1,gng(z+c)), where c is a nonzero complex constant and n, k are integers. It is proved that if one of the following holds (i) n6 and k=3, (ii) n7 and k=2, and (iii) n10 and k=1, then fg=t1 or f=t2g for some constants t2 and t3 which satisfy t2n+1=1 and t3n+1=1. It is an improvement of the result of Qi, Yang and Liu.


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Gang Wang. Deng-li Han. Zhi-Tao Wen. "Uniqueness Theorems on Difference Monomials of Entire Functions." Abstr. Appl. Anal. 2012 (SI13) 1 - 8, 2012.


Published: 2012
First available in Project Euclid: 5 April 2013

zbMATH: 1247.30047
MathSciNet: MR2947727
Digital Object Identifier: 10.1155/2012/407351

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI13 • 2012
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