| 一类高阶线性微分方程亚纯解的增长性 |
| |
| 引用本文： | 陶磊,龙见仁. 一类高阶线性微分方程亚纯解的增长性[J]. 贵州师范大学学报(自然科学版), 2014, 32(5): 85-87 |
| |
| 作者姓名： | 陶磊 龙见仁 |
| |
| 作者单位： | 1. 贵州师范学院数学与计算机科学学院,贵州贵阳,550018
2. 贵州师范大学数学与计算机科学学院,贵州贵阳,550001 |
| |
| 基金项目： | 贵州师范学院校级科研基金，贵州省科学技术厅、贵州师范大学联合科技基金，贵州师范学院重点支持学科 |
| |
| 摘 要： | 利用亚纯函数值分布理论,该文研究了一类高阶线性微分方程亚纯解的增长性,得到当方程系数满足某些条件时,其任意非平凡解为无穷级。推广了龙见仁等人的结果。
|
| 关 键 词： | 线性微分方程 亚纯函数 增长级 |
On the growth of meromorphic solutions of a high order linear differential equation |
| |
| TAO Lei,LONG Jianren. On the growth of meromorphic solutions of a high order linear differential equation[J]. Journal of Guizhou Normal University(Natural Sciences), 2014, 32(5): 85-87 |
| |
| Authors: | TAO Lei LONG Jianren |
| |
| Affiliation: | TAO Lei;LONG Jianren;School of Mathematics and Computer Science,Guizhou Normal College;School of Mathematics Computer Science Guizhou Normal University; |
| |
| Abstract: | This paper deals with the growth of meromorphic solutions of a high order linear differential equation by using Nevanlinna theory of meromorphic functions,so-me sufficient conditions that all nontrivial solutions are of infinite order are obtained,and improves the results of Long Jian-ren. |
| |
| Keywords: | linear differential equation meromorphic function the order of growth |
| 本文献已被 CNKI 维普 等数据库收录！ |
