On a connection between the number of poles of a meromorphic function and the number of zeros of its derivatives

被引:0
|
作者
Gol'dberg, A [1 ]
机构
[1] Bar Ilan Univ, Dept Math & Stat, IL-52900 Ramat Gan, Israel
来源
Complex Analysis and Dynamical Systems II | 2005年 / 382卷
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暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let f be a meromorphic function in the finite plane. We prove an estimate of the function (N) over bar (r, f) from above by using a sum of the functions N(r, 1/f((k))) for certain sets of k E N without restrictions on the multiplicity of poles.
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页码:187 / 190
页数:4
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