Cn中单位球上全纯映射凸半径一个注记

数学季刊 ›› 2012, Vol. 27 ›› Issue (3): 323-327.

Cⁿ中单位球上全纯映射凸半径一个注记

1. Department of Mathematics, Zhengzhou Normal University 2. Department of Mathematics and Physics, Henan University of Urban Construction 3. Institute of Mathematics and Information Science, Henan University

收稿日期:2010-06-28 出版日期:2012-09-30 发布日期:2023-03-21
作者简介:XU Ji-jun(1967-), male, native of Zhengzhou, Henan, M.S.D., an associate professor of Zhengzhou Normal University, engages in algebra and complex analysis; WANG Xiao-feng(1966-), female, native of Pingdingshan, Henan, an associate professor of Henan University of Urban Construction, engages in complex analysis; LIU Hao(1964-), male, native of Zhumadian, Henan, Ph.D., a professor Henan University, engages in several complex variables.
基金资助:
Supported by the NNSF of China(10971219)

One Note on the Convexity Radius of Holomorphic Mappings on the Unit Ball in Cⁿ

1. Department of Mathematics, Zhengzhou Normal University 2. Department of Mathematics and Physics, Henan University of Urban Construction 3. Institute of Mathematics and Information Science, Henan University

Received:2010-06-28 Online:2012-09-30 Published:2023-03-21
About author:XU Ji-jun(1967-), male, native of Zhengzhou, Henan, M.S.D., an associate professor of Zhengzhou Normal University, engages in algebra and complex analysis; WANG Xiao-feng(1966-), female, native of Pingdingshan, Henan, an associate professor of Henan University of Urban Construction, engages in complex analysis; LIU Hao(1964-), male, native of Zhumadian, Henan, Ph.D., a professor Henan University, engages in several complex variables.
Supported by:
Supported by the NNSF of China(10971219)

摘要/Abstract

摘要： In this paper, we prove that: if M is a family which has convexity radius, then the convexity radius for M and the second order item coefficients of every mapping in M are closely related to each other. As an application, we show that the convexity radius of starlike mappings r(S*) < 2-√3.

关键词: starlike mappings, growth theorems, convex radius

Abstract: In this paper, we prove that: if M is a family which has convexity radius, then the convexity radius for M and the second order item coefficients of every mapping in M are closely related to each other. As an application, we show that the convexity radius of starlike mappings r(S*) < 2-√3.

Key words: starlike mappings, growth theorems, convex radius

中图分类号:

O174.51

徐继军, 王晓凤, 刘浩. Cⁿ中单位球上全纯映射凸半径一个注记[J]. 数学季刊, 2012, 27(3): 323-327.

XU Ji-jun, WANG Xiao-feng, LIU Hao. One Note on the Convexity Radius of Holomorphic Mappings on the Unit Ball in Cⁿ [J]. Chinese Quarterly Journal of Mathematics, 2012, 27(3): 323-327.

[1]	郭盛梯, 徐庆华. 多复变一类星形映照子族的系数不等式[J]. 数学季刊, 2018, 33(1): 98-110.
[2]	闫春燕, 张芳芳. 有界星形圆形域上星形映射的参数表示[J]. 数学季刊, 2016, 31(3): 288-297.
[3]	张晓飞, 闫春燕. 抛物星形映射子族的增长定理和偏差定理[J]. 数学季刊, 2016, 31(2): 211-220.
[4]	闫春燕, 孙林坡, 安曼. 多复变ε星形映射的系数[J]. 数学季刊, 2015, 30(3): 416-419.
[5]	刘爱超, 闫春燕, 段晓玲, 刘浩. 多复变中的Alexander型定理[J]. 数学季刊, 2013, 28(2): 290-296.
[6]	刘维先, 王予民. Cⁿ 中拟凸映射和星形映射的系数问题[J]. 数学季刊, 2003, 18(4): 419-424.
[7]	刘小松, 刘太顺. 关于局部双全纯映射的推广的Roper-Suffridge算子[J]. 数学季刊, 2003, 18(3): 221-229.

Cⁿ中单位球上全纯映射凸半径一个注记

One Note on the Convexity Radius of Holomorphic Mappings on the Unit Ball in Cⁿ

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 7

编辑推荐

Metrics

本文评价