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| 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. |
| 关键词: 复微分方程 解析函数 迭代n级 角域 单位圆 |
| DOI： |
| 分类号:O174.5 |
| 基金项目: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). |
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| GROWTH OF SOLUTIONS OF HIGHER ORDER COMPLEX LINEAR DIFFERENTIAL EQUATIONS IN AN ANGULAR DOMAIN |
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LONG Jian-ren
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| Abstract: |
| 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. |
| Key words: complex differential equation analytic function iterated n-order angular domain unit disc |
