| 一类解析函数类的Hankel行列式的上界估计 |
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| 引用本文： | 李小飞.一类解析函数类的Hankel行列式的上界估计[J].数学理论与应用,2013(4):23-28. |
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| 作者姓名： | 李小飞 |
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| 作者单位： | 长江大学工程技术学院,荆州434020 |
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| 摘 要： | 本文对在单位圆盘U={z∈C：l│z│〈1}内解析且满足（1-λ）f（z）/z＋λf^1（z）〈1＋Az/1＋Bz（-1≤B＜A≤1;z∈U的函数f所对应的Hankel行列式│a2a4-a^23│，利用Toeplitz行列式的性质得到了其上界估计。
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| 关 键 词： | 解析 单叶 从属 Hankel行列式 Toeplitz行列式 |
Upper Bound of Second Hankel Determinant for Certain Class of Analytic Functions |
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| Li Xiaofei.Upper Bound of Second Hankel Determinant for Certain Class of Analytic Functions[J].Mathematical Theory and Applications,2013(4):23-28. |
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| Authors: | Li Xiaofei |
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| Institution: | Li Xiaofei (Yangtze University College of Teehnology and Engineering, Yangtze University, Jingzhou 434020, China) |
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| Abstract: | In this paper, let Rλ （A,B） denote the subclass of normalized analytic univalent functionsfdefined by （ （1-λ）f（z）/z＋λf^1（z）〈1＋Az/1＋Bz（-1≤B〈A≤1;z∈U）,whereU= U={z∈C：l│z│〈1}. The objeet of the present paper is to introduce the Hankel determinant │a2a4-a^23│ forf∈ Rλ （A ,B）, and to give a sharp upper bound for it by using the Toeplitz determinants. |
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| Keywords: | Analytic Univalent Subordinate Hankel determinant Toeplitz determinant |
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