| 两类双单叶非 Bazilevic 函数族的系数估计 |
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| 引用本文： | 石磊,王智刚.两类双单叶非 Bazilevic 函数族的系数估计[J].安徽大学学报(自然科学版),2016,40(3):17-21. |
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| 作者姓名： | 石磊 王智刚 |
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| 作者单位： | 安阳师范学院数学与统计学院,河南安阳,455002;湖南第一师范学院数学与计算科学学院,湖南长沙,410205 |
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| 基金项目： | 国家自然科学基金资助项目(11301008，11426035)；河南省高等学校重点科研基金资助项目(15A110006) |
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| 摘 要： | Obradovic引入研究了非Bazilevic函数并讨论了它的解析性质,受到数学工作者的广泛关注.利用非Bazilevic函数定义了两类新的双单叶函数族,结合正实部解析函数的系数估计和微分从属理论,得到这些函数族的起始项a2和a3的系数估计,所得结果推广了一些已有的结论.
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| 关 键 词： | 双单叶函数 非Bazilevic函数 系数估计 微分从属 |
Coefficient estimates for two subclasses of bi-univalent non-Bazilevic type functions |
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| SHI Lei,WANG Zhigang.Coefficient estimates for two subclasses of bi-univalent non-Bazilevic type functions[J].Journal of Anhui University(Natural Sciences),2016,40(3):17-21. |
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| Authors: | SHI Lei WANG Zhigang |
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| Abstract: | The class of non‐Bazilevic functions was introduced and studied by obradovic and has attracted many researchers’ interest .In the present paper ,we introduced and investiga‐ted two subclasses of bi‐univalent functions with non‐Bazilevic type .For functions belonging to these subclasses ,we obtained estimates for the initial coefficients a2 and a3 by using the coefficient estimates for analytic functions with positive real part and differential subordina‐tion .These results generalized some earlier works . |
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| Keywords: | bi-univalent non-Bazilevic functions coefficient estimates differential subordination |
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