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Bull. Korean Math. Soc. 2019; 56(3): 597-607
Online first article April 18, 2019 Printed May 31, 2019
https://doi.org/10.4134/BKMS.b180258
Copyright © The Korean Mathematical Society.
A note on meromorphic solutions of complex differential-difference equations
Xiaoguang Qi, Lianzhong Yang
University of Jinan; Shandong University
In this article, we consider 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 results extend earlier results by Liu et al.~\cite{Liu3}.
Keywords: meromorphic solution, complex differential-difference equation, growth, exponent of convergence of zeros and poles
MSC numbers: Primary 39B32; Secondary 30D35
Supported by: The work was supported by the NNSF of China (No.11301220, 11371225, 11661052, 11626112) and the NSF of Shandong Province (ZR2018MA021)
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