Zeros of higher derivatives of meromorphic functions in the complex plane
Zeros of higher derivatives of meromorphic functions in the complex plane
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DOI：
10.1112/plms/pds051
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发表时间：
2013-04
影响因子：
1.8
通讯作者：
K. Yamanoi
中科院分区：
文献类型：
--
作者：
K. Yamanoi
证明了Gol'dberg猜想，即复平面上亚纯函数f的不同极点的频率取决于二阶导数f“的零点的频率.由此证明了Mues关于复平面上亚纯函数导数亏损关系的猜想。
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.