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.

引用

页码：249 / 269

页数：21

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