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

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


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.


meromorphic function;growth order;Wiman-Valiron theory


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