| Fekete-Szeg\"{o} Problem Associated with $k$-th Root Transformation for the Inverse of Univalent Functions Defined by Quasi-Subordination |
| Received:June 02, 2020 Revised:January 28, 2021 |
| Key Words:
univalent functions Fekete-Szeg\"{o} inequality $k$-th root transformation inverse quasi-subordination
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11561001), the Natural Science Foundation of Inner Mongolia of China (Grant No.2018MS01026), the Natural Science Foundation of Anhui Provincial Department of Education (Grant Nos.KJ2018A0833; KJ2020A0993; KJ2020ZD74), Provincial Quality Engineering Project of Anhui Colleges and Universities (Grant No.2018mooc608) and the Key Cultivated Project at School Level of the National Science Fund of Guangzhou Civil Aviation College (Grant No.18X0428). |
| 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 | | Zongtao LI | Mathematics Teaching Department, Guangzhou Civil Aviation College, Guangdong 510403, P. R. China |
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| Abstract: |
| In this paper, we estimate the Fekete-Szeg\"{o} functional with $k$-th root transform for the inverse of certain classes of analytic univalent functions using quasi-subordination. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2021.05.002 |
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