| 摘要: |
| 本文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, 结合Nevanlinna值分布理论, 研究了线性微分方程f"+Af'+Bf=F的解和自由项 F(z)两者关于精确级Borel方向的关系. 并且讨论了当A(z)=F(z)=0时,方程解f和f的导数f'关于精确级零点聚值线的关系. |
| 关键词: 关 键 词: 亚纯函数 Borel方向 零点聚值线 精确级 |
| DOI： |
| 分类号:O.174.52 |
| 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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| On the properties of the solutions of linear differential equations in angular domain |
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Weiwenlong, Huang Zhigang
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Suzhou University of Science and Technology
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| Abstract: |
| In this paper, by using the infinity order type function of Xiong Qinglai’s and a sufficient and necessary condition for infinity order Borel direction which was established by Chuang Chitai, we discuss the relationship between Borel directions of precise order of solutions of f"+Af'+Bf=F and that of F, and also obtained the connection between zero accumulation ray of precise order of solutions of f"+Af'+Bf=F, and that of the derivative of the solution, when A(z)=F(z)=0. |
| Key words: meromorphic function Borel direction zero accumulation ray. precise order |
