| Improved Bound of the Fourth Hankel Determinant for a Class of Analytic Functions with Bounded Turnings Involving Cardioid Domain |
| Received:January 01, 2024 Revised:March 19, 2024 |
| Key Words:
analytic functions starlike functions convex functions Schwarz function cardioid domain Hankel determinant
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| Fund Project:Supported by the Natural Science Foundation of Anhui Provincial Department of Education (Grant Nos.KJ2020A0993; KJ2020ZD74), the High-Level Talent Research Start-Up Project (Grant No.DC2300000286) and the Foundation of Guangzhou Civil Aviation College (Grant Nos.22X0418; 24X4412). |
| Author Name | Affiliation | | Dong GUO | School of Mathematical Sciences, Yangzhou Polytechnic College, Jiangsu 225009, P. R. China | | Huo TANG | College of Mathematics and Computer Science, Chifeng University, Inner Mongolia 024000, P. R. China | | Xi LUO | School of Mathematics, Jiaying University, Guangdong 514015, P. R. China | | Zongtao LI | Department of Mathematics Teaching, Guangzhou Civil Aviation College, Guangdong 510403, P. R. China |
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| Abstract: |
| In the paper, a class of functions with bounded turnings involving cardioid domain, are studied in the region of the unit disc. The bounds of $|a_5|, |a_6|, |a_7|$ and the fourth Hankel determinant are obtained, which are more accurate than those obtained by Srivastava. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2025.01.005 |
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