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Entire Solutions of a Certain Type of Nonlinear Differential-Difference Equations
Wen-Jie Hao
,
Jun-Fan Chen
Abstract
The aim of the paper is to investigate all transcendental entire solutions of the following general nonlinear equation of the form $f^{n}+P_{d}(z,f)=p_{1}e^{\alpha _{1}z}+p_{2}e^{\alpha _{2}z}$, where $P_d(z,f)$ is a differential-difference polynomial in $f$ of degree $d$. Our result is a generalization and complement of known results obtained by Liu-Mao, Lü et al. and the references therein.