On the hyper exponent of convergence of zeros of f(j) - φ of higher order linear differential equations

被引：6

作者：

Xu, Hong-Yan ^{[1
]}

Tu, Jin ^{[2
]}

Zheng, Xiu-Min ^{[2
]}

机构：

[1] Jingdezhen Ceram Inst, Dept Informat & Engn, Jingdezhen 333403, Jiangxi, Peoples R China

[2] Jiangxi Normal Univ, Inst Math & Informat, Nanchang 330022, Jiangxi, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2012年

关键词：

linear differential equation; hyper order; type; small function; MEROMORPHIC SOLUTIONS; OSCILLATION-THEORY; GROWTH;

D O I：

10.1186/1687-1847-2012-114

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the relationship between the small function and the derivative of solutions of higher order linear differential equations f((k)) + A(k-1)f((k-1)) + ... + A(0)f = 0 ( k >= 2), where A(j)(z) (j = 0,1, ... , k - 1) are entire functions or meromorphic functions. The theorems of this paper improve the previous results given by Chen, Belaidi, Liu.

引用

页数：16

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