Zeros of higher derivatives of meromorphic functions in the complex plane

被引：22
作者：
Yamanoi, Katsutoshi [1 ]
机构：
[1] Tokyo Inst Technol, Dept Math, Meguro Ku, Tokyo 1528551, Japan
来源：
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2013年 / 106卷
关键词：
DEFICIENCY; DEFECT; MUES;
D O I：
10.1112/plms/pds051
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove the Gol'dberg conjecture, which states that the frequency of distinct poles of a meromorphic function f in the complex plane is governed by the frequency of zeros of the second derivative f '. As a consequence, we prove Mues' conjecture concerning the defect relation for the derivatives of meromorphic functions in the complex plane.
引用
收藏
页码：703 / 780
页数：78
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