ON THE GROWTH OF SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS OF FINITE LOGARITHMIC ORDER

被引：0
作者：
Cao, Ting-Bin [1 ]
Liu, Kai [1 ]
Wang, Jun [2 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
[2] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China
来源：
MATHEMATICAL REPORTS | 2013年 / 15卷 / 03期
关键词：
entire function; differential equation; Nevanlinna theory; finite logarithmic order; MEROMORPHIC SOLUTIONS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The concept of logarithmic order is used to investigate the growth of solutions of the linear differential equations f((k)) + A(k-1) (z)f((k-1)) + ... + A(1) (z) f' + A(0) (z) f = 0, f((k)) + A(k-1) (z) f((k-1)) + ... + A(1)(z) f' + A(0) (z)(f) = F (z), where A(0) not equal 0, A(1), ... , A(k-1) and F not equal 0 are transcendental entire functions with orders zero.
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页码：249 / 269
页数：21
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