[1]陈铭新,林雄,王建飞.Roper-Suffridge算子和ε-星形映照[J].华侨大学学报(自然科学版),2025,(2):237-240.[doi:10.11830/ISSN.1000-5013.202401003]
　CHEN Mingxin,LIN Xiong,WANG Jianfei.Roper-Suffridge Operators and ε-Starlike Mappings[J].Journal of Huaqiao University(Natural Science),2025,(2):237-240.[doi:10.11830/ISSN.1000-5013.202401003]
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Roper-Suffridge算子和ε-星形映照()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
期数:
2025年第2期
页码:
237-240
栏目:
出版日期:
2025-03-20

文章信息/Info

Title:
Roper-Suffridge Operators and ε-Starlike Mappings
文章编号:
1000-5013(2025)02-0237-04
作者:
陈铭新;  林雄;  王建飞
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
CHEN Mingxin;  LIN Xiong;  WANG Jianfei
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
双全纯映照;  Roper-Suffridge算子;  ε-星形映照;  双曲度量;  正定二次型
Keywords:
biholomorphic mapping;  Roper-Suffridge operator;  ε-starlike mapping;  hyperbolic metric;  positive definite quadratic form
分类号:
O174.5
DOI:
10.11830/ISSN.1000-5013.202401003
文献标志码:
A
摘要:
应用正定二次型构造比复单位球Bn更广泛的区域,并在该域上利用双曲度量证明了Roper-Suffridge算子保凸性、保星形和保ε-星形性。该结果丰富了已有Roper-Suffridge算子的研究,给出了推广Roper-Suffridge算子的不一样思路。
Abstract:
The positive definite quadratic form is utilized to construct a domain that is wider than the complex unit ball Bn, and preserved the convexity, starlikeness, and ε-starlikeness by Roper-Suffridge operators are proved through the application of hyperbolic metric. This result enriches the existing research on Roper-Suffridge operators and provides a different approach to extending Roper-Suffridge operators.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2024-01-04
通信作者: 陈铭新(1967-),男,副教授,博士,主要从事单复变与多复变函数论的研究。E-mail:chernmx@hqu.edu.cn。
基金项目: 国家自然科学基金资助项目(12071161)
更新日期/Last Update: 2025-03-20