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,1W)=S(r,W), N(r,1M)=S(r,M)与T(r,W′)∼lT(r,W), T(r,M′)∼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,1W)=S(r,W), N(r,1M)=S(r,M) and T(r,W′)∼lT(r,W), T(r,M′)∼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..