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

Murugusundaramoorthy Gangadharan; Vijaya Kaliyappan; Hijaz Ahmad; K. H. Mahmoud; E. M. Khalil; Murugusundaramoorthy Gangadharan; Vijaya Kaliyappan; Hijaz Ahmad; K. H. Mahmoud; E. M. Khalil

doi:10.3934/math.2021765

AIMS Mathematics

2021, Volume 6, Issue 12: 13235-13246. doi: 10.3934/math.2021765

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Research article

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

1.
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (Deemed to be University) Vellore - 632014, India
2.
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, Italy
4.
Department of Physics, College of Khurma University College, Taif University, P.O. Box11099, Taif 21944, Saudi Arabia
5.
Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

Received: 04 February 2021 Accepted: 16 August 2021 Published: 15 September 2021
MSC : 30C45, 30C80, 31A05, 33B15, 33C10, 33E20

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 $ \mathbb{D}. $
- analytic functions,
- univalent functions,
- harmonic functions,
- Mittag-Leffler function
Citation: Murugusundaramoorthy Gangadharan, Vijaya Kaliyappan, Hijaz Ahmad, K. H. Mahmoud, E. M. Khalil. Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function[J]. AIMS Mathematics, 2021, 6(12): 13235-13246. doi: 10.3934/math.2021765

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Abstract

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 $ \mathbb{D}. $

References

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