| 孔荫莹,刘兴臻.单位圆内亚纯函数的Nevanlinna不等式 和相关的奇异半径[J].数学年刊A辑,2014,35(3):351~360 |
| 单位圆内亚纯函数的Nevanlinna不等式 和相关的奇异半径 |
| Nevanlinna Inequalities and Singular Radiuses of Meromorphic Functions in |z| < 1 |
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| DOI： |
| 中文关键词: 亚纯函数, 单位圆, Nevanlinna不等式, 奇异半径 |
| 英文关键词:Meromorphic function, Unit disc, Nevanlinna
inequalities, Singular radius |
| 基金项目:国家自然科学基金(No.11101096)和广东省自然科学基金(No.S2012010010376) |
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| 中文摘要: |
| 应用Ahlfors覆盖曲面的方法, 得到几个单位圆内亚纯函数的Nevanlinna基本不等式, 应用它们证明了亚纯函数在单位圆内关于小函数的奇异半径的存在性,推广了复平面上亚纯函数奇异方向的相关结论. |
| 英文摘要: |
| By using Ahlfors' covering
surface method, some Nevanlinna fundamental inequalities of
meromorphic functions in $|z|<1$ are derived. From those
inequalities, the authors confirm the existence of some singular radiuses
dealing with small growth functions in $|z|<1$, which briefly extend
the corresponding results in the complex plane. |
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