高阶复线性微分方程解的角域增长性  

GROWTH OF SOLUTIONS OF HIGHER ORDER COMPLEX LINEAR DIFFERENTIAL EQUATIONS IN AN ANGULAR DOMAIN

作　　者：龙见仁[1] 

机构地区：[1]贵州师范大学数学与计算机科学学院,贵州贵阳550001

出　　处：《数学杂志》2015年第6期1533-1540,共8页Journal of Mathematics

基　　金：贵州省科学技术基金(黔科合J字[2015]2112号);国家自然科学基金资助(11171080)

摘　　要：本文研究了高阶复线性微分方程解在角域上的增长性问题.利用Nevanlinna理论和共形变换的方法,获得了一些使得方程非平凡解在角域上有快速增长的系数条件,这些结果丰富了复方程解在角域上增长性的研究.We study the growth problem of solutions of higher order complex linear differential equations in an angular domain of the complex plane.By using the Nevanlinna theory and the properties of conformal transformation,some conditions on coefficient functions,which will guarantee all non-trivial solutions of the higher order differential equations have fast growing,are found in this paper.These conditions improve that the studying of the growth of solutions of complex differential equations in an angular domain.

关 键 词：复微分方程 解析函数 迭代n级 角域 单位圆 

分 类 号：O174.5[理学—数学]