Articles

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

  • JIANG Yun-Bo ,
  • GAO Zong-Sheng
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  • LMIB and School of Mathematics and Systems Science, Beihang University, Beijing 100191, China

Received date: 2010-09-16

  Revised date: 2011-07-01

  Online published: 2012-07-20

Supported by

Supported by the NSFC (11171013).

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.

Cite this article

JIANG Yun-Bo , GAO Zong-Sheng . NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A HOLOMORPHIC FUNCTION AND THE CONVERSE OF THE BLOCH PRINCIPLE[J]. Acta mathematica scientia, Series B, 2012 , 32(4) : 1503 -1512 . DOI: 10.1016/S0252-9602(12)60119-2

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