On the Growth of Solutions of a Class of Higher Order Linear Differential Equations

被引：0
|
作者：
Xiao, L. P. [1 ]
Chen, Z. X. [1 ]
机构：
[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2009年 / 33卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Differential equation; Entire;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the order and the hyper-order of solutions of the linear differential equation f((k)) + A(k-1)(z)e(ak - 1z) f((k-1)) +.....+A(0)(Z)e(a0z)f - 0, where the coefficients are entire functions, a(j) (j = 0,..., k - 1) are complex numbers. Furthermore, the exponent of convergence of points at which the transcendental solutions of the equation takes the entire function of finite order is also studied.
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页码：789 / 798
页数：10
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