| 单叶解析函数的几个子族之间的关系及应用 |
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| 引用本文： | 鲁三芽,龙芳.单叶解析函数的几个子族之间的关系及应用[J].大学数学,2011,27(3):87-92. |
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| 作者姓名： | 鲁三芽 龙芳 |
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| 作者单位： | 1. 南昌工程学院,理学系,江西,南昌,330029
2. 江西机电职业技术学院,基础部,江西,南昌,330013 |
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| 基金项目： | 江西省自然科学基金项目(2007GZS0177); 江西省教育厅科学技术研究项目(GJJ09149) |
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| 摘 要： | 在复平面单位圆盘内引入了β型螺形甬数族S<,β>的一个子类S<'β>,<,α>函数族,研究了S<'β>,<,α>族与解析函数族S*,S*(α),K,K(α)及S<,β>之间的关系,利用得到的关系式对S<'β>,<,α>族的第二项系数进行了精确估计,同时得到了K(a)族的第二、三项系数的关系式和S<,β>,族的一个积分表...
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| 关 键 词： | 星形函数 凸函数 β型螺形函数 Sβα函数族 系数估计 |
Applications of Relationships Among the SeveralSubclasses of Univalent Analysis Functions |
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| LU San-ya,LONG Fang.Applications of Relationships Among the SeveralSubclasses of Univalent Analysis Functions[J].College Mathematics,2011,27(3):87-92. |
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| Authors: | LU San-ya LONG Fang |
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| Institution: | LU San-ya1,LONG Fang2(1.Department of Science Faculty,Nanchang Institute of Technology,Nanchang 330099,China,2.Basic Department of Jiangxi Vocational College of Mechanical and Electrical Technology,Nanchang 330013,China) |
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| Abstract: | A subclass of spirallike functions of type β denoted by βα is introduced in the unit disc of the complex plane.We investigate the relationships among the class of βα and the analysis function classes: S*,S*(α),K,K(α) and β.With the relationship equations we get,we sharply estimate the second coefficient ofβα.In addition,we obtain the relative equation between the second and the third coefficient of K(α) class and the integral representation of β class,which generlizes the related results of some authors. |
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| Keywords: | starlike functions convex functions spirallike functions of type β functions class of βα coefficient estimate |
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