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Connections between various subclasses of planar harmonic mappings involving Mittag-Leffler functions

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Abstract

In this existing paper, we examine a connection between certain class of harmonic univalent functions with starlike and convex harmonic functions define in the open unit disk by applying the convolution operator defined by Mittag-Leffler function. Several corollaries and consequences of the main results are also obtained.

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Acknowledgements

The authors would like to thank the referees for their helpful comments and suggestions.

Author information

Authors and Affiliations

  1. Institute of Sciences, Dicle University, 21280, Diyarbakir, Turkey

    Naci Taşar

  2. Department of Management, Dicle University, 21280, Diyarbakir, Turkey

    F. Mūge Sakar

  3. Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq, Jordan

    Basem Aref Frasin

  4. Department of Mathematics, Al al-Bayt University, 130095, Mafraq, 25113, Jordan

    Basem Aref Frasin

Authors
  1. Naci Taşar
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  2. F. Mūge Sakar
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  3. Basem Aref Frasin
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Contributions

This study was produced from first author Naci Taşar’s doctoral thesis. Naci Taşar made the calculations. Second author F. Müge Sakar was the supervisor and checked all the calculations. Third author Basem Aref Frasin revised the manuscript.

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Correspondence to Basem Aref Frasin.

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Taşar, N., Sakar, F.M. & Frasin, B.A. Connections between various subclasses of planar harmonic mappings involving Mittag-Leffler functions. Afr. Mat. 35, 33 (2024). https://doi.org/10.1007/s13370-024-01171-y

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