| 抛物星形映射的一个子族与Roper-Suffridge算子 |
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| 作者单位： | ;1.平顶山学院数学与统计学院 |
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| 摘 要： | 首先,从几何的视角引入了一类抛物星形映射子族.其次,给出欧氏空间单位球上该映射族与α次强β型螺形映射族之间的关系,同时证明了Roper-Suffridge算子在单位球上保持该类映射族的性质.作为推论,可以得到一些熟知的结果.
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| 关 键 词： | 推广的Roper-Suffridge算子 抛物星形映射 α次强β型螺形映射 |
A Subclass of Parabolic Starlike Mappings and the Roper-Suffridge Extension Operator |
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| Institution: | ,School of Mathematics and Statistics,Pingdingshan University |
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| Abstract: | Firstly,a subclass of parabolic starlike mappings is introduced from a geometric perspective. Secondly,the relationship between this subclass of parabolic starlike mappings and strongly spirallike mappings of type β and order α on the unit ball in Euclidean space is given. It shows that the Roper-Suffridge operator preserves the property of this subclass of parabolic starlike mappings. As corollary,some well-known results can be got. |
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| Keywords: | Roper-Suffridge extension operator parabolic starlike mappings strongly spirallike mappings of type β and order α |
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