| 关于p-叶星形性和强星形性的充分条件 (英) |
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| 引用本文： | 徐能. 关于p-叶星形性和强星形性的充分条件 (英)[J]. 数学研究及应用, 2007, 27(1): 47-52 |
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| 作者姓名： | 徐能 |
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| 作者单位： | 常熟理工学院数学系,江苏,常热,215500 |
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| 基金项目： | Acknowledgement The author would like to express deep appreciation to Professor YANG Ding-gong for enlightening discussions. |
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| 摘 要： | 本文利用微分从属的方法得到了单位圆盘内p-叶星形函数和强星形函数的某些充分条件．
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| 关 键 词： | 解析函数 星形函数 强星形函数 从属 |
| 文章编号： | 1000-341X(2007)01-0047-06 |
| 收稿时间： | 2004-12-06 |
| 修稿时间： | 2005-09-01 |
On Sufficient Conditions for p-Valently Starlikeness and Strong Starlikness |
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| XU Neng. On Sufficient Conditions for p-Valently Starlikeness and Strong Starlikness[J]. Journal of Mathematical Research with Applications, 2007, 27(1): 47-52 |
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| Authors: | XU Neng |
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| Affiliation: | Department of Mathematics, Changshu Institute of Technology, Jiangsu 215500, China |
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| Abstract: | Let $A_{n}(p)~(p,nin N={1,2,3,cdots})$ denote the class of functions of the form $f(z)=z^{p}+a_{p+n}z^{p+n}+cdots$ that are analytic in the unit disk $E={z:|z|<1}$. By using the method of differential subordinations we give some sufficient conditions for a function $f(z)in A_{n}(p)$ to be $p$-valently starlike or strong starlike. |
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| Keywords: | analytic function starlikeness strongly starlikeness subordination |
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