二阶线性微分方程亚纯解的增长性

J4 ›› 2012, Vol. 47 ›› Issue (8): 31-33.

二阶线性微分方程亚纯解的增长性

龙见仁,伍鹏程

贵州师范大学数学与计算机科学学院, 贵州贵阳 550001

收稿日期:2011-09-05 出版日期:2012-08-20 发布日期:2012-12-24
作者简介:龙见仁(1981- ),男,硕士,讲师,研究方向为复分析. Email:longjianren2004@163.com
基金资助:
国家自然科学基金资助项目(11171080);贵州省科学技术基金资助项目 (黔科合J字LKS［2010］07号)

On the growth of meromorphic solutions of second order linear differential equations

LONG Jian-ren, WU Peng-cheng

School of Mathematical and Computer Science, Guizhou Normal University, Guiyang 550001, Guizhou, China

Received:2011-09-05 Online:2012-08-20 Published:2012-12-24

摘要/Abstract

摘要：

利用亚纯函数值分布理论,研究两类二阶线性微分方程解的增长性,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。

关键词: 线性微分方程;增长级;亚纯函数

Abstract:

The growth of meromorphic solutions of two classes of second order linear differential equations is investigated by using the theory of the value distributions of meromorphic functions. Some sufficient conditions that all non-trivial solutions are of infinite order are obtained.

Key words: linear differential equation; growth of order; meromorphic functions

龙见仁,伍鹏程. 二阶线性微分方程亚纯解的增长性[J]. J4, 2012, 47(8): 31-33.

LONG Jian-ren, WU Peng-cheng. On the growth of meromorphic solutions of second order linear differential equations[J]. J4, 2012, 47(8): 31-33.

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