[1]王洁,林珍连,王建飞.Β2上α次殆星映射的一类有界构造[J].华侨大学学报(自然科学版),2020,41(1):126-129.[doi:10.11830/ISSN.1000-5013.201904046]
　WANG Jie,LIN Zhenlian,WANG Jianfei.Bounded Construction of Almost Starlike Mappings of Order α in Β2[J].Journal of Huaqiao University(Natural Science),2020,41(1):126-129.[doi:10.11830/ISSN.1000-5013.201904046]
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Β2上α次殆星映射的一类有界构造()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第41卷
期数:
2020年第1期
页码:
126-129
栏目:
出版日期:
2020-01-20

文章信息/Info

Title:
Bounded Construction of Almost Starlike Mappings of Order α in Β2
文章编号:
1000-5013(2020)01-0126-04
作者:
王洁;  林珍连;  王建飞
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
WANG Jie;  LIN Zhenlian;  WANG Jianfei
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
双全纯映射;  α次殆星映射;  星形映射;  Lö;  ewner链
Keywords:
biholomorphic mappings;  almost starlike mappings of order α;  starlike mappings;  Lö;  ewner chain
分类号:
O147.56
DOI:
10.11830/ISSN.1000-5013.201904046
文献标志码:
A
摘要:
利用凸映射的构造方法,给出单位球Β2上的α次殆星映射的有界构造,推广单位球Β2上星形映射的结果.作为应用,建立α次殆星映射与Löewner链的关系,从Löewner链角度刻画Β2上α次殆星映射的性质,且给出f为α次殆星映射的两个等价命题.
Abstract:
We give some bounded construction of almost starlike mappings of order α in the unit ball Β2 by using the construction of convex mappings, which generalize the result of starlike mappings on the unit ball Β2. As an application, we establish the connection between the almost starlike mappings of order α and the Löewner chain. The properties of almost starlike mappings of order α on Β2 are described from the Löewner chain and two equivalent propositions that f is almost starlike mappings of order α are given.

参考文献/References:

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相似文献/References:

[1]胡春英,王建飞.单位球Bn上改进的Roper-Suffridge算子[J].华侨大学学报(自然科学版),2020,41(6):829.[doi:10.11830/ISSN.1000-5013.202006022]
　HU Chunying,WANG Jianfei.Modified Roper-Suffridge Extension Operator on Unit Ball Bn[J].Journal of Huaqiao University(Natural Science),2020,41(1):829.[doi:10.11830/ISSN.1000-5013.202006022]

备注/Memo

备注/Memo:
收稿日期: 2019-04-26
通信作者: 林珍连(1970-),女,副教授,主要从事单复变函数的研究.E-mail:zhenlian@hqu.edu.cn.
基金项目: 国家自然科学基金资助项目(11671362); 华侨大学科研启动费资助项目(605-50X19023); 华侨大学研究生科研创新能力培育计划资助项目(17013070008)
更新日期/Last Update: 2020-01-20