Na Xu, Ting-Bin Cao, Kai Liu
Abstract:
In this article, we study entire solutions of the nonlinear
differential-difference equation
where
,
are nonzero polynomials,
,
are nonconstant polynomials,
,
are nonzero entire functions of finite order,
is an integer. We obtain additional results for
case:
,
,
and
,
nonzero constants.
Submitted July 15, 2014. Published January 27, 2015.
Math Subject Classifications: 30D35, 39A05.
Key Words: Nevanlinna theory; differential-difference equation; entire function.
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Na Xu School of Mathematical Sciences, Xiamen University Xiamen 361005, China email: xuna406@163.com | |
Ting-Bin Cao Department of Mathematics, Nanchang University Nanchang, Jiangxi 330031, China email: tbcao@ncu.edu.cn | |
Kai Liu Department of Mathematics, Nanchang University Nanchang, Jiangxi 330031, China email: liukai418@126.com |
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