NORMAL-FAMILIES OF HOLOMORPHIC-FUNCTIONS

被引：5

作者：

CHEN, HH

HUA, XH

机构：

[1] NANJING UNIV,DEPT MATH,NANJING 210008,PEOPLES R CHINA

[2] NANJING UNIV,INST MATH,NANJING 210008,PEOPLES R CHINA

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1995年 / 59卷

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1017/S1446788700038490

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let a(z) be a meromorphic function with only simple poles, and let k is an element of N. Suppose that f(z) is meromorphic. We first set up an inequality in which T(r, f) is bounded by the counting function of the zeros of f((k)) + af(2), and then we prove a corresponding normal criterion. An example shows that the restriction on the poles of a(z) is best possible.

引用

页码：112 / 117

页数：6