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| 摘要: |
| 本文研究了复圆盘上亚纯函数的截断型有限象集问题,利用亚纯函数值分布理论,建立了具有有限增长指标的亚纯函数分担亚纯函数(可能不是小函数)的第二基本定理;并应用此结果推广了亚纯函数的截断型有限象集结果. |
| 关键词: 亚纯函数 有限增长指标 复圆盘 有限象集 截断重数 |
| DOI： |
| 分类号:O174.51;O174.56 |
| 基金项目: |
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| FINITE RANGE SET WITH TRUNCATED MULTIPLICITY FOR MEROMORPHIC FUNCTIONS ON SOME COMPLEX DISC |
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WANG Yu-ting,CAO Hong-zhe
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| Abstract: |
| In this paper, we consider the truncated multiplicity finite range set problem of meromorphic functions on some complex disc. By using the value distribution theory of meromorphic functions, we establish a second main theorem for meromorphic functions with finite growth index which share meromorphic functions (may not be small functions). As its application, we also extend the result of a finite range set with truncated multiplicity. |
| Key words: meromorphic functions finite growth index complex disc finite range set truncated multiplicity |
