THE INVARIANCE OF STRONG AND ALMOST SPIRALLIKE MAPPINGS OF TYPE β AND ORDER α

doi:10.1016/S0252-9602(15)30066-7

数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (6): 1454-1466.doi: 10.1016/S0252-9602(15)30066-7

THE INVARIANCE OF STRONG AND ALMOST SPIRALLIKE MAPPINGS OF TYPE β AND ORDER α

崔艳艳¹, 王朝君¹, 刘浩²

1. College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China;
2. College of Mathematics and Information Science, Henan University, Kaifeng 475001, China

收稿日期:2015-01-24 修回日期:2014-06-19 出版日期:2015-11-01 发布日期:2015-11-01
通讯作者: Yanyan CUI, E-mail: cui9907081@163.com E-mail:cui9907081@163.com
作者简介:Chaojun WANG, E-mail: wang9907081@163.com;Hao LIU, E-mail: haoliu@henu.edu.cn
基金资助:
This work is supported by NSF of China (11271359, U1204618), and Science and Technology Research Projects of Henan Provincial Education Department (14B110015, 14B110016).

THE INVARIANCE OF STRONG AND ALMOST SPIRALLIKE MAPPINGS OF TYPE β AND ORDER α

Yanyan CUI¹, Chaojun WANG¹, Hao LIU²

1. College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China;
2. College of Mathematics and Information Science, Henan University, Kaifeng 475001, China

Received:2015-01-24 Revised:2014-06-19 Online:2015-11-01 Published:2015-11-01
Supported by:
This work is supported by NSF of China (11271359, U1204618), and Science and Technology Research Projects of Henan Provincial Education Department (14B110015, 14B110016).

摘要/Abstract

摘要：

The invariance of strong and almost spirallike mappings of type β and order α is discussed in this paper. From the maximum modulus principle of holomorphic functions, we obtain that the generalized Roper-Suffridge operators preserve strong and almost spirallikeness of type β and order α on the unit ball Bⁿ in Cⁿ and on bounded and complete Reinhardt domains. Therefore we obtain that the generalized Roper-Suffridge operators preserve strong spirallikeness of type β, strong and almost starlikeness of order α, strong starlikeness on the corresponding domains.Thus we can construct more subclasses of spirallike mappings in several complex variables.

关键词: strong and almost spirallike mappings of type β and order α, Roper-Suffridge operators, homogeneous expansion

Abstract:

Key words: strong and almost spirallike mappings of type β and order α, Roper-Suffridge operators, homogeneous expansion

中图分类号:

32A30

崔艳艳, 王朝君, 刘浩. THE INVARIANCE OF STRONG AND ALMOST SPIRALLIKE MAPPINGS OF TYPE β AND ORDER α[J]. 数学物理学报(英文版), 2015, 35(6): 1454-1466.

Yanyan CUI, Chaojun WANG, Hao LIU. THE INVARIANCE OF STRONG AND ALMOST SPIRALLIKE MAPPINGS OF TYPE β AND ORDER α[J]. Acta mathematica scientia,Series B, 2015, 35(6): 1454-1466.

参考文献

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THE INVARIANCE OF STRONG AND ALMOST SPIRALLIKE MAPPINGS OF TYPE β AND ORDER α

THE INVARIANCE OF STRONG AND ALMOST SPIRALLIKE MAPPINGS OF TYPE β AND ORDER α

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