| Estimate and Fekete-Szeg\"{o} Inequality for a Class of $m$-Fold Symmetric Bi-Univalent Function Defined by Subordination |
| Received:July 02, 2018 Revised:December 12, 2018 |
| Key Words:
analytic functions univalent functions coefficient estimates $m$-fold symmetric bi-univalent function Fekete-Szeg\"{o} inequality subordination
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11561001;11271045), the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (Grant No.NJYT-18-A14), the Natural Science Foundation of Inner Mongolia of China (Grant No.2018MS01026), the Higher School Foundation of Inner Mongolia of China (Grant No.NJZY19211) and the Natural Science Foundation of Anhui Provincial Department of Education (Grant Nos.KJ2018A0833; KJ2018A0839). |
| Author Name | Affiliation | | Dong GUO | Foundation Department, Chuzhou Vocational and Technical College, Anhui 239000, P. R. China | | Huo TANG | School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China | | En AO | School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China | | Liangpeng XIAO | School of Mathematics and Statistics, Wuhan University, Hubei 430072, P. R. China |
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| Abstract: |
| In this paper, we investigate the coefficient estimate and Fekete-Szeg\"{o} inequality of a class of $m$-fold bi-univalent function defined by subordination. The results presented in this paper improve or generalize the recent works of other authors. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2019.03.009 |
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