環(huán)內亞純函數的特征函數
發(fā)布時間：2018-11-07 16:21
【摘要】：應用亞純函數的Nevanlinna理論,研究了定義在圓環(huán)內的亞純函數的特征函數.證明了定義在圓環(huán)內的具有最大虧量和的有限級允許亞純函數f(名)與其各階導函數f~((k))(z)的特征函數之間滿足如下關系:當δ_0(∞,f)=1時,T_0(r,f~((k)))~T_0(r,f)(r→+∞);當δ_0(∞,f)=0時,T_0(r,f~((k)))~(k+1)T_0(r,f)(r→+∞),其中k為任意正整數.所得結果推廣了定義在全平面上亞純函數的一些相關結果.
[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，
本文編號：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，
本文編號：2316897
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