Normality and exceptional values of derivatives

被引：20

作者：

Bergweiler, W ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 01期

关键词：

D O I：

10.1090/S0002-9939-00-05477-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that a family F of functions meromorphic in some domain is normal, if for all f is an element of F the derivative f' omits the value 1 and if the values that f' can take at the zeros of f satisfy certain restrictions. As an application we obtain a new proof of a theorem of Langley which classifies the functions f meromorphic in the plane such that f and f " have no zeros.

引用

页码：121 / 129

页数：9

共 24 条

[1] ON THE ZEROS OF CERTAIN HOMOGENEOUS DIFFERENTIAL POLYNOMIALS [J].