数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (4): 1119-1129.doi: 10.1007/s10473-021-0406-8

• 论文 • 上一篇    下一篇

THE GROWTH AND BOREL POINTS OF RANDOM ALGEBROID FUNCTIONS IN THE UNIT DISC

孙道椿1, 霍颖莹2, 柴富杰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. School of Financial Mathematics & Statistics, Guangdong University of Finance, Guangzhou 510521, China
  • 收稿日期:2020-01-07 出版日期:2021-08-25 发布日期:2021-09-01
  • 通讯作者: Fujie CHAI E-mail:chaifujie@sina.com
  • 作者简介:Daochun SUN,E-mail:1457330943@qq.com;Yingying HUO,E-mail:huoyingy@gdut.edu.cn;Fujie CHAI,E-mail:chaifujie@sina.com
  • 基金资助:
    The second author was supported by the National Natural Science Foundation of China (11501127), Foundation for Distinguished Young Talents in Higher Education of Guangdong Province (2014KQNCX068). The third author was supported by the Foundation of Guangzhou Civil Aviation College (18X0428).

THE GROWTH AND BOREL POINTS OF RANDOM ALGEBROID FUNCTIONS IN THE UNIT DISC

Daochun SUN1, Yingying HUO2, Fujie CHAI3   

  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. School of Financial Mathematics & Statistics, Guangdong University of Finance, Guangzhou 510521, China
  • Received:2020-01-07 Online:2021-08-25 Published:2021-09-01
  • Contact: Fujie CHAI E-mail:chaifujie@sina.com
  • Supported by:
    The second author was supported by the National Natural Science Foundation of China (11501127), Foundation for Distinguished Young Talents in Higher Education of Guangdong Province (2014KQNCX068). The third author was supported by the Foundation of Guangzhou Civil Aviation College (18X0428).

摘要: In this paper, we construct k-valued random analytic algebroid functions for the first time. By combining the properties of random series, we study the growth and Borel points of random analytic algebroid functions in the unit disc and obtain some interesting theorems.

关键词: Sequence of random variables, algebroid functions, growth, Borel points

Abstract: In this paper, we construct k-valued random analytic algebroid functions for the first time. By combining the properties of random series, we study the growth and Borel points of random analytic algebroid functions in the unit disc and obtain some interesting theorems.

Key words: Sequence of random variables, algebroid functions, growth, Borel points

中图分类号: 

  • 30B20