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

• Xu, Junfeng ;
• Zhang, Zhanliang
• Published : 2008.03.31
• 26 6

#### 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

#### References

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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