Growth of meromorphic solutions of higher-order linear differential equations
Wenjuan Chen, Shandong University, Jinan, Shandong, P. R. China E. J. Qualitative Theory of Diff. Equ., No. 1. (2009), pp. 1-13.
Junfeng Xu, Wuyi University, Jiangmen, Guangdong, P. R. China
| Communicated by P. Eloe. | Received on 2008-08-06 Appeared on 2009-01-08 |
Abstract: In this paper, we investigate the higher-order linear differential equations with meromorphic coefficients. We improve and extend a result of M.S. Liu and C.L. Yuan, by using the estimates for the logarithmic derivative of a transcendental meromorphic function due to Gundersen, and the extended Winman-Valiron theory which proved by J. Wang and H.X. Yi. In addition, we also consider the nonhomogeneous linear differential equations.
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