数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (1): 283-294.doi: 10.1016/S0252-9602(15)30095-3

• 论文 • 上一篇    下一篇

GENERAL ALGEBROID FUNCTION AND ITS APPLICATION

孙道椿1, 霍颖莹2, 张晓梅3   

  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
  • 收稿日期:2014-09-14 修回日期:2015-01-12 出版日期:2016-01-30 发布日期:2016-01-30
  • 通讯作者: Yingying HUO,E-mail:fs_hyy@aliyun.com E-mail:fs_hyy@aliyun.com
  • 作者简介:Daochun SUN,E-mail:1457330943@qq.com;Xiaomei ZHANG,E-mail:zhangxmcn81@163.com
  • 基金资助:

    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).

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).

摘要:

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.

关键词: general algebroid function, the branch point theorem, the first fundamental theorem, the second fundamental theorem

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

中图分类号: 

  • 30D30