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Growth order of Meromorphic Solutions of Higher-order Linear Differential Equations

  • Xu, Junfeng ;
  • Zhang, Zhanliang
  • Received : 2006.11.30
  • Published : 2008.03.31

Abstract

In this paper, we investigate higher-order linear differential equations with entire coefficients of iterated order. We improve and extend the result of L. Z. Yang by using the estimates for the logarithmic derivative of a transcendental meromorphic function due to Gundersen and the extended Wiman-Valiron theory by Wang and Yi. We also consider the nonhomogeneous linear differential equations.

Keywords

meromorphic function;growth order;Wiman-Valiron theory

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Cited by

  1. On the meromorphic solutions of linear differential equations on the complex plane vol.364, pp.1, 2010, https://doi.org/10.1016/j.jmaa.2009.11.018