Acta mathematica scientia,Series B ›› 2016, Vol. 36 ›› Issue (1): 283-294.doi: 10.1016/S0252-9602(15)30095-3

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GENERAL ALGEBROID FUNCTION AND ITS APPLICATION

Daochun SUN1, Yingying HUO2, Xiaomei ZHANG3   

  1. 1. School of Mathematics, South China Normal University, Guangzhou 510631, China;
    2. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China;
    3. Department of Basic Courses, Guangzhou Maritime Institute, Guangzhou 510000, China
  • Received:2014-09-14 Revised:2015-01-12 Online:2016-01-30 Published:2016-01-30
  • Contact: Yingying HUO,E-mail:fs_hyy@aliyun.com E-mail:fs_hyy@aliyun.com
  • Supported by:

    The second author was supported by the National Natural Science Foundation of China(11201083 and 11501127) and Foundation for Distinguished Young Talents in Higher Education of Guangdong Province(2014KQNCX068).

Abstract:

In this paper, the authors introduce a kind of reducible algebroid functions, that is general algebroid functions and obtain two fundamental theorems of general algebroid functions. At last, as an application, we generalized a theorem of Li Guoping's.

Key words: general algebroid function, the branch point theorem, the first fundamental theorem, the second fundamental theorem

CLC Number: 

  • 30D30
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