A note on meromorphic solutions of complex differential-difference equations
Bull. Korean Math. Soc.
Published online 2019 Apr 18
Xiaoguang Qi and Lianzhong Yang
University of Jinan, School of Mathematics, Shandong University, School of Mathematics
Abstract : In this article ,we will use Nevanlinna theory to consider some properties of transcendental meromorphic solutions of the complex differential- difference equation
P_n(z)f^{(n)}(z+\eta_n)+\cdots+P_1(z)f'(z+\eta_1)+P_0(z)f(z+\eta_0)=0,
and its non-homogeneous equation. Our result extend earlier results by Liu et al. [Results Math. 72 (2017), 1759-1771].
Keywords : Meromorphic solution; Complex differential-difference equation; Growth; Exponent of convergence of zeros and poles
MSC numbers : 39B32; 30D35
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