Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (2): 241-251.doi: 10.1016/S0252-9602(14)60001-1

• Articles •     Next Articles

THE BOREL DIRECTIONS OF ALGEBROIDAL FUNCTION AND ITS COEFFICIENT FUNCTIONS

 ZHANG Shao-Hua, ZHANG Xiao-Mei, SUN Dao-Chun*   

  1. School of Mathematics and Statistics, Hubei University of Science and Technology, Xianning 437100, China; Guangzhou Maritime College, Guangzhou 510725, China; School of Mathematics Science, South China Normal University, Guangzhou 510631|China
  • Received:2012-11-16 Revised:2013-03-27 Online:2014-03-20 Published:2014-03-20
  • Contact: SUN Dao-Chun,1457330943@qq.com E-mail:124883680@qq.com;meizi_de@yahoo.com.cn;1457330943@qq.com
  • Supported by:

    The project is supported by NSFC (11201395).

Abstract:

In this article, the relationship between the Borel direction of algebroidal function and its coefficient functions is studied for the first time. To begin with, several theorems of algebroidal functions in unit disk are proved. By these theorems, some interesting conclusions are obtained.

Key words: Algebroidal function, coefficient function, Borel direction

CLC Number: 

  • 30D35
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