On the derivative of meromorphic functions with multiple zeros

被引：53

作者：

Bergweiler, W

Pang, XC

机构：

[1] Univ Kiel, Math Seminar, D-24098 Kiel, Germany

[2] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 278卷 / 02期

关键词：

D O I：

10.1016/S0022-247X(02)00349-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f be a transcendental meromorphic function and let R be a rational function, R not equivalent to 0. We show that if all zeros and poles of f are multiple, except possibly finitely many, then f' - R has infinitely many zeros. If f has finite order and R is a polynomial, then the conclusion holds without the hypothesis that poles be multiple. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：285 / 292

页数：8

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