| 可变幅角复系数的解析函数族 |
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| 引用本文： | 熊良鹏.可变幅角复系数的解析函数族[J].应用泛函分析学报,2014(2):138-145. |
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| 作者姓名： | 熊良鹏 |
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| 作者单位： | 成都理工大学工程技术学院,乐山614007 |
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| 基金项目： | 资助项目：四川省教育厅科研项目（14ZB0364） |
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| 摘 要： | 研究了在单位开圆盘内单叶解析且规范化的复系数函数族gφ1，φ2，φ3，φ4（m1，m2，m3，m4；λ）的一些性质，给出了其子族gφ1，φ2，φ3，φ4（m1，m2，m3，m4；λ）在内闭一致收敛拓扑下的极值点和支撑点，并讨论解决了gφ1，φ2，φ3，φ4（m1，m2，m3，m4；λ）与凸函数相关的一些半径问题，推广了近来的一些研究结果．
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| 关 键 词： | 解析函数 凸函数 内闭一致收敛拓扑 线性泛函 支撑点 |
Class of Analytic Functions with Varying Argument and Complex Coefficients |
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| XIONG Liangpeng.Class of Analytic Functions with Varying Argument and Complex Coefficients[J].Acta Analysis Functionalis Applicata,2014(2):138-145. |
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| Authors: | XIONG Liangpeng |
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| Institution: | XIONG Liangpeng (Engineering and Technical College, Chengdu University of Technology, Leshan 614007, China) |
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| Abstract: | In this paper, we introduce and investigate the new class gφ1,φ2,φ3,φ4（m1,m2,m3,m4;λ） of analytic functions with complex coefficients, which are univalent and normalized in the open unit disk. We obtain some interesting properties on gφ1,φ2,φ3,φ4（m1,m2,m3,m4;λ） and get the extreme points and support points for the subclass gφ1,φ2,φ3,φ4（m1,m2,m3,m4;λ）. Also, the radius problems for gφ1,φ2,φ3,φ4（m1,m2,m3,m4;λ） associated with convex functions of order α are discussed. Some consequences of our main results for earlier classes are pointed |
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| Keywords: | analytic function convex function topology of uniform convergence linear functional support point |
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