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http://dx.doi.org/10.4134/BKMS.2013.50.5.1471

ON ENTIRE SOLUTIONS OF NONLINEAR DIFFERENCE-DIFFERENTIAL EQUATIONS  

Wang, Songmin (Department of Basic The Chinese People's Armed Police Forces Academy)
Li, Sheng (College of Science Guangdong Ocean University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.5, 2013 , pp. 1471-1479 More about this Journal
Abstract
In this paper, we study the non-existence of finite order entire solutions of nonlinear differential-difference of the form $$f^n+Q(z,f)=h$$, where $n{\geq}2$ is an integer, $Q(z,f)$ is a differential-difference polynomial in $f$ with polynomial coefficients, and $h$ is a meromorphic function of order ${\leq}1$.
Keywords
difference-differential polynomial; differential polynomial; difference-differential equation; Nevanlinna theory;
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