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.
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.
Mei-Li LIANG. 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.
Citation: Mei-Li LIANG. 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.

代数体函数公共值的相对亏值

The relative defects corresponding to the common roots of algebroid functions

  • 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,\frac1W)=S(r,W),~~N(r,\frac1M)=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.

     

    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,\frac1W)=S(r,W),~~N(r,\frac1M)=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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