Derivatives of Meromorphic Functions with Multiple Zeros and Elliptic Functions

被引：0

作者：

Pai YANG ^{[1
,2
]}

Shahar NEVO ^{[3
]}

机构：

[1] Department of Mathematics, East China Normal University

[2] College of Mathematics, Chengdu University of Information Technology

[3] Department of Mathematics, Bar-Ilan University

来源：

Acta Mathematica Sinica,English Series | 2013年 / 07期

基金：

以色列科学基金会;

关键词：

Normal family; elliptic function;

D O I：

暂无

中图分类号：

O174.52 [整数函数论、亚纯函数论（半纯函数论）];

学科分类号：

070104 ;

摘要：

Let f be a nonconstant meromorphic function in the plane and h be a nonconstant elliptic function. We show that if all zeros of f are multiple except finitely many and T (r, h) = o{T (r, f )} as r →∞, then f’ = h has infinitely many solutions (including poles).

引用

页码：1257 / 1278

页数：22

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