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Applications of a differential operator to a class of harmonic mappings defined by Mittag-leffer functions
Journal article   Open access  Peer reviewed

Applications of a differential operator to a class of harmonic mappings defined by Mittag-leffer functions

Muhammad Ghaffar Khan, Bakhtiar Ahmad, Thabet Abdeljawad and 3 Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia
AIMS mathematics, Vol.5(6), pp.6782-6799
01/01/2020

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Utilizing the concepts of Harmonic analysis and Mittag-Leffer functions we introduce a new subclass of harmonic mappings involving differential operator in domain of Janowski functions. Moreover, we investigate analytic criteria, necessary and sufficient conditions, topological properties, extreme points, radii problems and some applications of this work for the class of functions defined by this operator.
url
https://doi.org/10.3934/math.2020436View
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