Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (4): 1503-1512.doi: 10.1016/S0252-9602(12)60119-2

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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).

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

CLC Number: 

  • 30D35
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