关于α次的β型螺形映射推广的Roper-Suffridge算子的一个注记

数学季刊 ›› 2009, Vol. 24 ›› Issue (2): 310-316.

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关于α次的β型螺形映射推广的Roper-Suffridge算子的一个注记

1. School of Mathematics and Computation Science, Zhanjiang Normal University2. Institute of Mathematics, Henan University3. College of Mathematics and Information Science, Henan University

收稿日期:2006-03-24 出版日期:2009-06-30 发布日期:2023-08-11
作者简介: LIU Xiao-song(1968-), male, native of Shaoyang, Hunan, an associate professor of Zhanjiang Normal University, engages in function theory of SCV; FENG Shu-xia(1975-), female, native of Yuanyang, Henan, an associate professor of Henan University, engages in function theory of SCV.
基金资助:
Supported by the National Natural Science Foundation of China(10626015, 10571044)； Supported by Guangdong Natural Science Foundation(06301315)； Supported by the doctoral foundation of Zhanjiang Normal University(Z0420)；

A Remark on the Generalized Roper-Suffridge Extension Operator for Spirallike Mappings of Type β and Order α

1. School of Mathematics and Computation Science, Zhanjiang Normal University2. Institute of Mathematics, Henan University3. College of Mathematics and Information Science, Henan University

Received:2006-03-24 Online:2009-06-30 Published:2023-08-11
About author: LIU Xiao-song(1968-), male, native of Shaoyang, Hunan, an associate professor of Zhanjiang Normal University, engages in function theory of SCV; FENG Shu-xia(1975-), female, native of Yuanyang, Henan, an associate professor of Henan University, engages in function theory of SCV.
Supported by:
Supported by the National Natural Science Foundation of China(10626015, 10571044)； Supported by Guangdong Natural Science Foundation(06301315)； Supported by the doctoral foundation of Zhanjiang Normal University(Z0420)；

摘要/Abstract

摘要： Suppose f is a spirallike function of type β and order α on the unit disk D. Let ... , where 1 ≤ p₁ ≤ 2,p_j ≥1,j = 2,··· ,n, are real numbers. In this paper, we will prove that ···, preserves spirallikeness of type βand order α on Ω_{n,p1,p2,···,pn}.

关键词: spirallike mapping of type β and order α, starlike mapping of order α, generalized Roper-Suffridge extension operator

Abstract: Suppose f is a spirallike function of type β and order α on the unit disk D. Let ... , where 1 ≤ p₁ ≤ 2,p_j ≥1,j = 2,··· ,n, are real numbers. In this paper, we will prove that ···, preserves spirallikeness of type βand order α on Ω_{n,p1,p2,···,pn}.

Key words: spirallike mapping of type β and order α, starlike mapping of order α, generalized Roper-Suffridge extension operator

中图分类号:

O174.56

刘小松, 冯淑霞. 关于α次的β型螺形映射推广的Roper-Suffridge算子的一个注记[J]. 数学季刊, 2009, 24(2): 310-316.

LIU Xiao-song, FENG Shu-xia. A Remark on the Generalized Roper-Suffridge Extension Operator for Spirallike Mappings of Type β and Order α[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 310-316.

[1]	成金环, 刘涛. Loewner链与推广的Roper-Suffridge算子[J]. 数学季刊, 2009, 24(3): 420-425.
[2]	刘涛, 冯淑霞, 闫春燕. Lowwner链与复Hilbert空间单位球上推广的Roper-Suffridge算子(Ⅰ)[J]. 数学季刊, 2009, 24(1): 125-131.

关于α次的β型螺形映射推广的Roper-Suffridge算子的一个注记

A Remark on the Generalized Roper-Suffridge Extension Operator for Spirallike Mappings of Type β and Order α

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