Growth of meromorphic solutions of higher-order linear differential equations

نویسندگان

  • Wenjuan Chen
  • Junfeng Xu
چکیده

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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تاریخ انتشار 2009