| 代数体函数公共值的相对亏值 |
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| 引用本文： | 梁美丽. 代数体函数公共值的相对亏值[J]. 华南师范大学学报(自然科学版), 2013, 45(3): 13-15 |
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| 作者姓名： | 梁美丽 |
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| 作者单位： | 1.华南师范大学 |
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| 基金项目： | 国家自然科学基金青年基金项目(11101097);广东省教育厅育苗工程项目(LYM11061) |
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| 摘 要： | 本文定义了平面上代数体函数关于其导函数的相对亏值和绝对亏值. 进而研究了具有公共值的两个$v$值代数体$W(z),M(z)$分别在条件 $N(r,frac{1}{W})=S(r,W),~~N(r,frac{1}{M})=S(r,M)$与$T(r,W')sim lT(r,W),~~T(r,M')sim lT(r,M)$下关于公共值的相对亏值, 所得结果推广了Singh A.p.关于亚纯函数的结果.
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| 关 键 词： | 绝对亏值 |
| 收稿时间： | 2012-02-13 |
The relative defects corresponding to the common roots of algebroid functions |
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| LIANG Meili. The relative defects corresponding to the common roots of algebroid functions[J]. Journal of South China Normal University(Natural Science Edition), 2013, 45(3): 13-15 |
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| Authors: | LIANG Meili |
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| Affiliation: | LIANG Meili(School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China) |
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| Abstract: | In this paper, relative defect and absolute defect of derivative of algebroid functions in the plane are defined . Under the conditions of $N(r,frac{1}{W})=S(r,W),~~N(r,frac{1}{M})=S(r,M)$ and $T(r,W')sim lT(r,W),~~T(r,M')sim lT(r,M)$, the relative defects on common roots of two $v$-valued algebroid functions $W(z),M(z)$ with common roots are studied respectively. The results obtained generalize some results on meromorphic functions of Singh A.p.. |
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