| Fekete-Szeg\"{o} Functional Problems for Certain Subclasses of Bi-Univalent Functions Involving the Hohlov Operator |
| Received:March 24, 2019 Revised:October 09, 2019 |
| Key Words:
Fekete-Szeg\"{o} problem analytic function bi-univalent function Gaussian hypergeometric function Hohlov operator
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| Fund Project:Supported by Science and Technology Research Project of Colleges and Universities in Ningxia (Grant No.NGY2017011), Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (Grant No.NJYT-18-44), the Natural Science Foundation of Inner Mongolia (Grant No.2018MS01026) and the Natural Science Foundation of China (Grant Nos.11561055; 11561001; 11762016). |
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| Abstract: |
| In the paper the new subclasses $\mathcal{N}^{a,b,c}_{\sum}(\mu,\lambda;\phi)$ and $\mathcal{M}^{a,b,c}_{\sum}(\lambda;\phi)$ of the function class $\sum$ of bi-univalent functions involving the Hohlov operator are introduced and investigated. Then, the corresponding Fekete-Szeg\"{o} functional inequalities as well as the bound estimates of the coefficients $a_2$ and $a_3$ are obtained. Furthermore, several consequences and connections to some of the earlier known results also are given. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2020.01.001 |
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