Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (4): 740-749.

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Borel Directions and Uniqueness of Analytic Functions

Xuan Zuxing1, Xu Hongyan2   

  1. 1. Beijing Key Laboratory of Information Service Engineering, Department of General Education, Beijing Union University, Beijing 100101;
    2. Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jiangxi Jingdezhen 333403
  • Received:2015-12-16 Revised:2016-06-08 Online:2016-08-26 Published:2016-08-26
  • Supported by:

    Support by the NSFC(11561033,91420202),the Importation and Development of High-Caliber Talents Project of Beijing Municipal Institutions(CIT and TCD201504041) and the Natural Science Foundation of Jiangxi Province(20151BAB201008)

Abstract:

In view of Nevanlinna theory, we deal with the relationship between Borel directions and uniqueness of analytic functions. Some theorems of analytic functions sharing four distinct values in an angular domain containing a Borel directions are obtained. Our theorems are improvement of the results given by Long and Wu[10].

Key words: Analytic function, Borel direction, Uniqueness

CLC Number: 

  • O174.52
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