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  
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).
Author NameAffiliation
Xiangpeng XIONG School of Mathematics and Computer Science, Jiangxi Science and Technology Normal University, Jiangxi 330038, P. R. China 
Yaqian WANG School of Mathematics and Computer Science, Jiangxi Science and Technology Normal University, Jiangxi 330038, P. R. China 
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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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