| 用Ruscheweyh导数定义的一类p叶解析函数 |
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| 引用本文： | 施冬芳. 用Ruscheweyh导数定义的一类p叶解析函数[J]. 山东理工大学学报：自然科学版, 2007, 21(6): 15-18 |
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| 作者姓名： | 施冬芳 |
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| 作者单位： | 扬州大学,数学科学学院,江苏,扬州,225002 |
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| 摘 要： | 利用Ruscheweyh导数算子引进了单位圆盘内解析函数的一个新子类,给出了函数属于函数类的两个充要条件,并考虑了近于凸函数、星象函数和凸函数半径.
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| 关 键 词： | 解析函数 Ruscheweyh导数 近于凸函数 星象函数 凸函数 |
A subclass of p-valent analytic functions defined by Ruscheweyh derivatives |
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| SHI Dong-fang. A subclass of p-valent analytic functions defined by Ruscheweyh derivatives[J]. Journal of Shandong University of Technology:Science and Technology, 2007, 21(6): 15-18 |
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| Authors: | SHI Dong-fang |
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| Abstract: | By means of Ruscheweyh derivatives,a new subclass of p-valent analytic functions was introduced.Two necessary and sufficient conditions were obtained.The radius of close-to-convex functions,starlike functions,convex functions were also considered. |
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| Keywords: | analytic functions Ruscheweyh derivatives close-to-convex functions starlike functions convex functions |
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