On the Growth of Solutions of Higher Order Linear Differential Equations

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New Zealand Journal of Mathematics

Vol. 42, (2012), Pages 27-36


Nan Wu

Department of Mathematics,

School of Science,

China University of Mining and Technology (Beijing),

Beijing, 100083,

People's Republic of China.

mailto:wunan2007@163.com

Ye-Zhou Li

School of Science,

Beijing University of Posts and Tele Communications,

Beijing, 100876,

People's Republic of China.

mailto:yiyexiaoquan@yahoo.com.cn




Abstract In this paper, we discuss the growth order of the meromorphic solution of the differential equation A_n(z)f^{(n)}(z)+\cdots+A_1(z)f'(z)+A_0f(z)=F(z) with meromorphic coefficients A_0(z), A_1(z),\cdots, A_n(z) in some angular regions and generalize a result in the complex plane \mathbb{C}.

Keywords Differential equations, Meromorphic solutions, Order, Angular region.

Classification (MSC2000) Primary 30D10; Secondary 30D20, 30B10, 34M05.

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