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
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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 Name | Affiliation | 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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