GROWTH AND FIXED POINTS OF MEROMORPHIC SOLUTIONS OF HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONS

被引：4

作者：

Xu, Jun-Feng ^{[1
]}

Yi, Hong-Xun ^{[2
]}

机构：

[1] Wuyi Univ, Dept Math, Jiangmen 529020, Guangdong, Peoples R China

[2] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 46卷 / 04期

关键词：

linear differential equation; meromorphic function; fixed point; FINITE-ORDER;

D O I：

10.4134/JKMS.2009.46.4.747

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the growth and fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives. Because of the restriction of differential equations, we obtain that the properties of fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives are more interesting than that of general transcendental meromorphic functions. Our results extend the previous results due to M. Frei, M. Ozawa, G. Gundersen, and J. K. Langley and Z. Chen and K. Shon.

引用

页码：747 / 758

页数：12

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