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| 摘要: |
| 本文介绍了与Dziok-Srivastava算子有关的解析双单叶类∑的两个拟从属子类，系数估计和Fekete-Szegö泛函.利用微分拟从属和卷积算子理论，获得了相应函数子类的Fekete-Szegö泛函不等式和系数a2和a3的有界估计，推广和改进了某些早期已知结果. |
| 关键词: Fekete-Szegö问题 双单叶函数 Gaussian超几何函数 Dziok-Srivastava算子 拟从属 |
| DOI： |
| 分类号:O174.51;O177.2 |
| 基金项目:Supported by Institution of Higher Education Scientific Research Project in Ningxia (NGY2017011); National Natural Science Foundations of China (11561055; 11762017). |
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| FEKETE-SZEGÖ PROBLEMS FOR SEVERAL QUASI-SUBORDINATION SUBCLASSES OF ANALYTIC AND BI-UNIVALENT FUNCTIONS ASSOCIATED WITH THE DZIOK-SRIVASTAVA OPERATOR |
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LONG Pin-hong,LI Xing,WANG Wen-shuai
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| Abstract: |
| In the article we introduce two quasi-subordination subclasses of the function class ∑ of analytic and bi-univalent functions associated with the Dziok-Srivastava operator, and some problems for their coefficient estimation and Fekete-Szegö functional. By using differential quasisubordination and convolution operator theory, we obtain some results about the corresponding bound estimations of the coefficient a2 and a3 as well as Fekete-Szegö functional inequalities for theses subclasses, which generalize and improve some earlier known results. |
| Key words: Fekete-Szegö problem bi-univalent function Gaussian hypergeometric function Dziok-Srivastava operator quasi-subordination |
