摘要: |
本文研究了零级亚纯函数Borel方向与Nevanlinna方向的关系.应用Ahlfors覆盖曲面的几何方法,获得了部分零级亚纯函数关于型函数的Borel方向一定是Nevanlinna方向,而这一结果至今未见有文献研究. |
关键词: 亚纯函数 Nevanlinna方向 Borel方向 |
DOI: |
分类号:O174.55 |
基金项目:南阳师范学院科研基金资助项目,河南省基础与前沿技术研究课题 |
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ON NEVANLINNA DIRECTIONS AND BOREL DIRECTIONS OF ZERO-ORDER MEROMORPHIC FUNCTIONS |
ZHANG Hong-shen
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ZHANG Hong-shen (Dept.of Math.,Nanyang Teachers' College,Nanyang 473061,China)
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Abstract: |
In this article,the relation between Borel directions and Nevanlinna directions for zero-order meromorphic functions is studied.By using Ahlfors' covering surface theory,that Borel directions for certain zero-order meromorphic functions must be Nevanlinna directions is showed. |
Key words: meromorphic function Nevanlinna direction Borel direction |