Solutions of higher order linear differential equations in an angle

被引：13
作者：
Xu, Junfeng [1 ]
Yi, Hongxun [2 ]
机构：
[1] Wuyi Univ, Dept Math & Phys, Jiangmen 529020, Peoples R China
[2] Shandong Univ, Sch Math, Jinan 250100, Jinan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 04期
关键词：
Linear differential equation; Meromorphic function; The angle; Growth order; Analytic function;
D O I：
10.1016/j.aml.2008.06.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
in this paper, we discuss the higher order linear differential equation f((k)) +A(k-1)f((k-1))+...+ A(1)f(1) + A(0)f = 0 on an angle. We apply Nevanlinna sectorial theory to estimate the growth of solutions of the equation restricted in the angle and prove the existence of asymptotic value of the derivative of solutions of the equation in the angle. By using these results we can improve some known results in the plane. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：484 / 489
页数：6
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