环内亚纯函数的特征函数
发布时间：2018-11-07 16:21
【摘要】：应用亚纯函数的Nevanlinna理论,研究了定义在圆环内的亚纯函数的特征函数.证明了定义在圆环内的具有最大亏量和的有限级允许亚纯函数f(名)与其各阶导函数f~((k))(z)的特征函数之间满足如下关系:当δ_0(∞,f)=1时,T_0(r,f~((k)))~T_0(r,f)(r→+∞);当δ_0(∞,f)=0时,T_0(r,f~((k)))~(k+1)T_0(r,f)(r→+∞),其中k为任意正整数.所得结果推广了定义在全平面上亚纯函数的一些相关结果.
[Abstract]:Based on the Nevanlinna theory of meromorphic functions, the characteristic functions of meromorphic functions defined in a ring are studied. It is proved that the relation between a finite order admissible meromorphic function f (name) defined in a ring with the maximum defect sum and the characteristic functions of its derivative f ~ (k) (z) is as follows: when 未 _ 0 (鈭，
本文编号：2316897
[Abstract]:Based on the Nevanlinna theory of meromorphic functions, the characteristic functions of meromorphic functions defined in a ring are studied. It is proved that the relation between a finite order admissible meromorphic function f (name) defined in a ring with the maximum defect sum and the characteristic functions of its derivative f ~ (k) (z) is as follows: when 未 _ 0 (鈭，
本文编号：2316897
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