| 某些积分算子解析函数的性质 |
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| 引用本文： | 李小飞,严证.某些积分算子解析函数的性质[J].湖北大学学报(自然科学版),2013(2):214-218. |
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| 作者姓名： | 李小飞 严证 |
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| 作者单位： | 长江大学工程技术学院;茨城大学理学部 |
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| 基金项目： | 湖北省教育科学“十二五”规划课题(2012B310)资助 |
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| 摘 要： | 设A表示单位圆盘U={z：｜z｜〈1，z∈c）内的单叶解析函数族，定义A的子族MDg（α，β）={f（z）∈A：Re（z（f＊g）＇（z）/（f＊g（z））〈β｜（z（f＊g）＇（z）/（f＊g（z）-1｜＋α,g（z）∈A}这里α〉1，β≤0，介绍3类积分算子函数Fn（z），G（z），In（z），利用解不等式的技巧和解析函数理论，对它们的性质进行探究．
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| 关 键 词： | 单叶 解析 卷积 积分算子 系数不等式 |
Some properties for some integral operators on analytic functions |
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| LI Xiaofei,YAN Zheng.Some properties for some integral operators on analytic functions[J].Journal of Hubei University(Natural Science Edition),2013(2):214-218. |
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| Authors: | LI Xiaofei YAN Zheng |
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| Institution: | 1.School of Engineering and Technology,Yangtze University,Jingzhou 434020,China; 2.School of Science,Ibaraki University,Ibaraki 3108512,Japan) |
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| Abstract: | Let A be the class of functions which were univalent and analytic in the open unit disk U={z：｜z｜〈1,z∈c） In this article, we defined a new subclass MDg（α,β） of A which satisfied MDg（α,β）={f（z）∈A：Re（z（f＊g）＇（z）/（f＊g（z））〈β｜（z（f＊g）＇（z）/（f＊g（z）-1｜＋α,g（z）∈A},where α〉1,β≤0 and introduced three integral operators Fn（z）,G（z）,In（z）. Some properties involving these operators were determined by using solutions of inequalities techniques and theories of analytic functions. |
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| Keywords: | univalent analytic convolution integral operator coefficient inequalities |
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