| 复Banach空间上推广的Roper-Suffridge算子的性质 |
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| 引用本文： | 崔艳艳,汪叶. 复Banach空间上推广的Roper-Suffridge算子的性质[J]. 河南纺织高等专科学校学报, 2012, 0(3): 70-72 |
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| 作者姓名： | 崔艳艳 汪叶 |
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| 作者单位： | [1]周口师范学院数学与信息科学系,河南周口466001 [2]河南大学数学与信息科学学院,河南开封475001 |
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| 基金项目： | 数学天元青年基金（11126153）; 河南省教育厅自然科学基金资助项目（2011B110034）; 河南省科技厅软科学项目（102400450003） |
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| 摘 要： | 讨论复Banach空间上两类推广的Roper-Suffridge算子,证明该算子保持强β型螺形映照、强α次殆星映形照、α次强β型螺形映照及α次殆β型螺形映照的性质,并作为特殊情况包含了已有的结论.
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| 关 键 词： | 强β型螺形映照 α次强β型螺形映照 α次殆β型螺形映照 强α次殆星形映照 |
Property of generalized Roper-Suffridge extension operator in complex Banach space |
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| CUI Yan-yan,WANG-Ye. Property of generalized Roper-Suffridge extension operator in complex Banach space[J]. Journal of Henan Textile College, 2012, 0(3): 70-72 |
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| Authors: | CUI Yan-yan WANG-Ye |
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| Affiliation: | 1. Mathematics Department ,Zhoukou Normal University, Zhoukou 466001, China; 2. College of Mathematics and Information Science, Henan University, Kaifeng 475001, China) |
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| Abstract: | In this paper, the property of two kinds of Roper-Suffridge extension operators in complex Banach space is discussed, and the fact is proved that the operators keep the properties of strongly spiral-like mappings of type β , strong and almost star-like map- pings of order α , strongly spiral-like mappings of type β and order α and almost spiral-like mappings of type β and order α , and as the special case, the results extend the known results. |
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| Keywords: | strongly spirallike mappings of type β strongly spirallike mappings of type β and order α almost spirallike mappings of type β and order α strong and almost starlike mappings of orderc α |
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