数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (4): 1503-1512.doi: 10.1016/S0252-9602(12)60119-2

• 论文 • 上一篇    下一篇

NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A HOLOMORPHIC FUNCTION AND THE CONVERSE OF THE BLOCH PRINCIPLE

姜云波|高宗升   

  1. LMIB and School of Mathematics and Systems Science, Beihang University, Beijing 100191, China
  • 收稿日期:2010-09-16 修回日期:2011-07-01 出版日期:2012-07-20 发布日期:2012-07-20
  • 基金资助:

    Supported by the NSFC (11171013).

NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A HOLOMORPHIC FUNCTION AND THE CONVERSE OF THE BLOCH PRINCIPLE

 JIANG Yun-Bo, GAO Zong-Sheng   

  1. LMIB and School of Mathematics and Systems Science, Beihang University, Beijing 100191, China
  • Received:2010-09-16 Revised:2011-07-01 Online:2012-07-20 Published:2012-07-20
  • Supported by:

    Supported by the NSFC (11171013).

摘要:

In this paper, we investigate normal families of meromorphic functions, prove some theorems of normal families sharing a holomorphic function, and give a counterex-
ample to the converse of the Bloch principle based on the theorems.

关键词: meromorphic function, holomorphic function, shared function, normal fam-ily, Bloch principle

Abstract:

In this paper, we investigate normal families of meromorphic functions, prove some theorems of normal families sharing a holomorphic function, and give a counterex-
ample to the converse of the Bloch principle based on the theorems.

Key words: meromorphic function, holomorphic function, shared function, normal fam-ily, Bloch principle

中图分类号: 

  • 30D35