| Some Results for a Family of Harmonic Univalent Functions |
| Received:August 15, 2021 Revised:February 19, 2022 |
| Key Words:
extreme points growth theorem harmonic functions modified-Hadamard product Ruscheweyh derivatives
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.12061035), the Natural Science Foundation of Jiangxi Province (Grant No.20212BAB201012), the Foundation of Education Department of Jiangxi Province (Grant No.GJJ201104) and the Research Foundation of Jiangxi Science and Technology Normal University (Grant No.2021QNBJRC003). |
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| Abstract: |
| In this paper, we introduce a class of the univalent sense-preserving harmonic functions associated with Ruscheweyh derivatives. By establishing the extremal theory, we obtain the sharp coefficients bounds, sharp growth theorems and sharp distortion theorems for the class. The radius equation between this class and a known class of harmonic functions is given. Also, we investigate the results of modified-Hadamard product for this class. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2022.05.006 |
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