Harmonic Univalent Functions Related with Generalized $(p,q)$-Post Quantum Calculus Operators
Received:April 15, 2020  Revised:September 07, 2020
Key Words: Harmonic univalent function   Janowski function   subordination   partial sums   $(p,q)$-post quantum calculus operator  
Fund Project:Supported by the Natural Science Foundation of Inner Mongolia Autonomous Region (Grant No.2019MS01023) and the Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region (Grant Nos.NJZZ19209; NJZY20198).
Author NameAffiliation
Shuhai LI School of Mathematics and Computer Science, Chifeng University, Inner Mongolia 024000, P. R. China
School of Normal, Chifeng University, Inner Mongolia 024000, P. R. China 
Li-na MA School of Mathematics and Computer Science, Chifeng University, Inner Mongolia 024000, P. R. China 
Xiaomeng NIU School of Normal, Chifeng University, Inner Mongolia 024000, P. R. China 
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Abstract:
      In this paper, we introduce certain subclasses of harmonic univalent functions associated with the Janowski functions, which are defined by using generalized $(p,q)$-post quantum calculus operators. Sufficient coefficient conditions, extreme points, distortion bounds and partial sums properties for the functions belonging to the subclasses are obtained.
Citation:
DOI:10.3770/j.issn:2095-2651.2021.04.004
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