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

doi:10.1007/s10473-021-0406-8

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

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. 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. 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/Abstract

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

孙道椿, 霍颖莹, 柴富杰. THE GROWTH AND BOREL POINTS OF RANDOM ALGEBROID FUNCTIONS IN THE UNIT DISC[J]. 数学物理学报(英文版), 2021, 41(4): 1119-1129.

Daochun SUN, Yingying HUO, Fujie CHAI. THE GROWTH AND BOREL POINTS OF RANDOM ALGEBROID FUNCTIONS IN THE UNIT DISC[J]. Acta mathematica scientia,Series B, 2021, 41(4): 1119-1129.

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

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

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