On the growth of solutions of a class of second-order complex differential equations

被引：0
|
作者：
Cai Feng Yi
Xu-Qiang Liu
Hong Yan Xu
机构：
[1] Jiangxi Normal University,Department of Mathematics and Informatics
[2] Jingdezhen Ceramic Institute,Department of Informatics and Engineering
来源：
Advances in Difference Equations | / 2013卷
关键词：
complex differential equation; meromorphic function; Borel direction; deficient value; hyper-order;
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摘要：
In this paper, we consider the differential equation f″+h(z)eP(z)f′+Q(z)f=0, where h(z) and Q(z)≢0 are meromorphic functions, P(z) is a non-constant polynomial. Assume that Q(z) has an infinite deficient value and finitely many Borel directions. We give some conditions on P(z) which guarantee that every solution f≢0 of the equation has infinite order.
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