| Coefficient Related Problem Studies for New Subclass of Bi-Univalent Functions Defined by $(s,t)$-Derivative Operator and Quasi-Subordination |
| Received:July 30, 2020 Revised:January 05, 2021 |
| Key Words:
bi-univalent function $(s,t)$-derivative quasi-subordination coefficient estimate Fekete-Szeg\"{o} problem Faber polynomial expansion
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| Fund Project:Supported by the Natural Science Foundation of Inner Mongolia Autonomous Region (Grant No.2020MS01010) and the Higher-School Science Foundation of Inner Mongolia Autonomous Region (Grant No.NJZY19211). |
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| Abstract: |
| In this paper we introduce and investigate a new generalized class of bi-univalent functions defined by using $(s,t)$-derivative operator and quasi-subordination. We obtain the estimates of the first two coefficients $|a_2|, |a_3|$ and general coefficient $|a_n|~(n\ge4)$ by using Faber polynomial expansion for the new class and some of its subclasses. And then we solve Fekete-Szeg\"{o} probelm for the newly defined classes. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2021.06.003 |
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