| 多叶解析函数族子类的一些结果(英文) |
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| 引用本文： | 熊良鹏,韩红伟,马致远.多叶解析函数族子类的一些结果(英文)[J].数学杂志,2014,34(4):651-661. |
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| 作者姓名： | 熊良鹏 韩红伟 马致远 |
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| 作者单位： | 成都理工大学工程技术学院, 四川 乐山 614007,成都理工大学工程技术学院, 四川 乐山 614007,成都理工大学工程技术学院, 四川 乐山 614007 |
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| 基金项目： | Supported by Scientific Research Fund of Sichuan Provincial Education Department (14ZB0364). |
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| 摘 要： | 本文研究了在单位开圆盘U={z:|z|1}内多叶解析的函数族G_(p,c)~*(a,b,σ)的性质.利用函数论的方法,获得了G_(p,c)~*(a,b,σ)族相关的准哈达玛乘积的一般化结果及G_(p,c)~*(a,b,σ)的极值点与支撑点.推广了先前相应的一些研究工作。
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| 关 键 词： | 解析函数 多叶函数 准哈达玛乘积 极值点 支撑点 |
| 收稿时间： | 2013/1/24 0:00:00 |
| 修稿时间： | 2013/6/9 0:00:00 |
SOME RESULTS FOR CERTAIN SUBCLASS OF MULTIVALENT AND ANALYTIC FUNCTIONS |
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| XIONG Liang-peng,HAN Hong-wei and MA Zhi-yuan.SOME RESULTS FOR CERTAIN SUBCLASS OF MULTIVALENT AND ANALYTIC FUNCTIONS[J].Journal of Mathematics,2014,34(4):651-661. |
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| Authors: | XIONG Liang-peng HAN Hong-wei and MA Zhi-yuan |
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| Institution: | School of Engineering and Technical, ChengDu University of Technology, Leshan 614007, China,School of Engineering and Technical, ChengDu University of Technology, Leshan 614007, China and School of Engineering and Technical, ChengDu University of Technology, Leshan 614007, China |
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| Abstract: | In this paper,we investigate functions of the class Gp,c*(a,b,σ) which are analytic and multivalent in the open unit disk U={z:|z|<1}.By using the method of function theory,we obtain some general results concerning the quasi-Hadamard product and the extreme points and support points of Gp,c*(a,b,σ).Many interesting consequences of the main results extend related works of several earlier authors. |
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| Keywords: | analytic functions multivalent function quasi-Hadamard product extreme points support points |
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