| Properties and Characteristics of Certain Subclass of Close-to-Convex Harmonic Mappings |
| Received:November 17, 2023 Revised:April 01, 2024 |
| Key Words:
univalent harmonic mapping close-to-convex harmonic mapping Bohr radius Toeplitz determinant Hankel determinant
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| Fund Project:Supported by the Natural Science Foundation of Hunan Province (Grant No.2022JJ30185), the Postgraduate Research and Practice Innovation Program of Jiangsu Province (Grant No.KYCX23_0410), the China Scholarship Council (Grant No.202306840137), the National Natural Science Foundation of China (Grant No.62063029) and the Science and Technology Support Project of Pingxiang City (Grant No.2020C0102). |
| Author Name | Affiliation | | Jiong SHI | School of Mathematics and Statistics, Changsha University of Science and Technology, Hunan 410114, P. R. China | | Zhigang WANG | School of Mathematics and Statistics, Hunan First Normal University, Hunan 410205, P. R. China | | Xiaoyuan WANG | School of Mathematics and Statistics, Nanjing University of Science and Technology, Jiangsu 210094, P. R. China
Graduate School of Information Sciences, Tohoku University, Sendai 9808579, Japan |
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| Abstract: |
| In this paper, we study a subclass of close-to-convex harmonic mappings whose analytic parts are starlike mappings. We derive some properties and characteristics for this class, such as the bounds of Toeplitz determinants, bounds of Hankel determinants, Zalcman functional and Bohr's inequality. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2024.05.006 |
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