@article {
author = {Liu, Y. and Wang, J. P. and Liu, F. H.},
title = {Some results on value distribution of the difference operator},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {41},
number = {3},
pages = {603-611},
year = {2015},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this article, we consider the uniqueness of the difference monomials $f^{n}(z)f(z+c)$. Suppose that $f(z)$ and $g(z)$ are transcendental meromorphic functions with finite order and $E_k(1, f^{n}(z)f(z+c))=E_k(1, g^{n}(z)g(z+c))$. Then we prove that if one of the following holds (i) $n \geq 14$ and $k\geq 3$, (ii) $n \geq 16$ and $k=2$, (iii) $n \geq 22$ and $k=1$, then $f(z)\equiv t_1g(z)$ or $f(z)g(z)=t_2,$ for some constants $t_1$ and $t_2$ that satisfy $t_1^{n+1}=1$ and $t_2^{n+1}=1$. We generalize some previous results of Qi et. al.},
keywords = {Meromorphic
functions,difference equations,uniqueness,finite order},
url = {http://bims.iranjournals.ir/article_635.html},
eprint = {http://bims.iranjournals.ir/article_635_eb443301fa68e35139a83770ef545aa8.pdf}
}