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 Word: univalent functions   Fekete-Szeg\"{o} inequality   $k$-th root transformation   inverse   quasi-subordination  
Fund ProjectL: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 NameAffiliation
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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