Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function

In this paper, we examine a connotation between certain subclasses of harmonic univalent functions by applying certain convolution operator regarding Mittag-Leffler function. To be more precise, we confer such influences with Janowski-type harmonic univalent functions in the open unit disc D.

Bibliographic Details
Main Authors: Murugusundaramoorthy Gangadharan, Vijaya Kaliyappan, Hijaz Ahmad, K. H. Mahmoud, E. M. Khalil
Format: Article
Language:English
Published: AIMS Press 2021-09-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021765?viewType=HTML
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author Murugusundaramoorthy Gangadharan
Vijaya Kaliyappan
Hijaz Ahmad
K. H. Mahmoud
E. M. Khalil
author_facet Murugusundaramoorthy Gangadharan
Vijaya Kaliyappan
Hijaz Ahmad
K. H. Mahmoud
E. M. Khalil
author_sort Murugusundaramoorthy Gangadharan
collection DOAJ
description In this paper, we examine a connotation between certain subclasses of harmonic univalent functions by applying certain convolution operator regarding Mittag-Leffler function. To be more precise, we confer such influences with Janowski-type harmonic univalent functions in the open unit disc D.
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spelling doaj.art-a837952675804fb0bf72c71fa86b06c72022-12-21T22:06:20ZengAIMS PressAIMS Mathematics2473-69882021-09-01612132351324610.3934/math.2021765Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler functionMurugusundaramoorthy Gangadharan0Vijaya Kaliyappan 1Hijaz Ahmad2K. H. Mahmoud3E. M. Khalil 41. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (Deemed to be University) Vellore - 632014, India1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (Deemed to be University) Vellore - 632014, India2. Department of Basic Sciences, University of Engineering and Technology Peshawar, Pakistan 3. Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy4. Department of Physics, College of Khurma University College, Taif University, P.O. Box11099, Taif 21944, Saudi Arabia5. Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaIn this paper, we examine a connotation between certain subclasses of harmonic univalent functions by applying certain convolution operator regarding Mittag-Leffler function. To be more precise, we confer such influences with Janowski-type harmonic univalent functions in the open unit disc D.https://www.aimspress.com/article/doi/10.3934/math.2021765?viewType=HTMLanalytic functionsunivalent functionsharmonic functionsmittag-leffler function
spellingShingle Murugusundaramoorthy Gangadharan
Vijaya Kaliyappan
Hijaz Ahmad
K. H. Mahmoud
E. M. Khalil
Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function
AIMS Mathematics
analytic functions
univalent functions
harmonic functions
mittag-leffler function
title Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function
title_full Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function
title_fullStr Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function
title_full_unstemmed Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function
title_short Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function
title_sort mapping properties of janowski type harmonic functions involving mittag leffler function
topic analytic functions
univalent functions
harmonic functions
mittag-leffler function
url https://www.aimspress.com/article/doi/10.3934/math.2021765?viewType=HTML
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