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| 摘要: |
| 本文主要研究了线性微分方程f"+A（z）f'+B（z）f=F（z）解的精确级Borel方向的问题.利用熊庆来的无限级型函数和庄圻泰的关于无穷级Borel方向的一个等价条件，获得了方程非齐次项的精确级Borel方向就是方程解的精确级Borel方向的结果，推广了已有的结论. |
| 关键词: 亚纯函数 Borel方向 零点聚值线 精确级 |
| DOI： |
| 分类号:O174.52 |
| 基金项目:国家自然科学基金（11001157）；江苏省自然科学基金（BK2010234）；苏州科技大学研究生科研创新计划项目（SKYCX16-007）. |
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| THE PROPERTIES OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS IN ANGULAR DOMAIN |
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WEI Wen-long,WEI Dong-mei,HUANG Zhi-gang
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| Abstract: |
| In this paper, we mainly study the problem on the Borel directions of precise order of solutions of linear differential equations f" + Af" + Bf=F (z). By using the infinity order type function of Xiong Qinglai and a sufficient and necessary condition for infinity order Borel direction which was established by Chuang Chatai, we obtain the result that the Borel directions of precise order of solutions of linear differential equations also belongs to F (z) which generalizes the previously results. |
| Key words: meromorphic function Borel direction zero zccumulation ray precise order |
