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Sakaguchi Type Starlike Functions Related with Miller-Ross-Type Poisson Distribution in Janowski Domain

Author

Listed:
  • Sheza M. El-Deeb

    (Department of Mathematics, College of Science and Arts, Al-Badaya, Qassim University, Buraidah 51911, Saudi Arabia
    Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
    These authors contributed equally to this work.)

  • Asma Alharbi

    (Department of Mathematics, College of Science and Arts, Ar Rass, Qassim University, Buraidah 51452, Saudi Arabia
    These authors contributed equally to this work.)

  • Gangadharan Murugusundaramoorthy

    (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT), Vellore 632014, India
    These authors contributed equally to this work.)

Abstract

In this research, using the Poisson-type Miller-Ross distribution, we introduce new subclasses Sakaguchi type of star functions with respect to symmetric and conjugate points and discusses their characteristic properties and coefficient estimates. Furthermore, we proved that the class is closed by an integral transformation. In addition, we pointed out some new subclasses and listed their geometric properties according to specializing in parameters that are new and no longer studied in conjunction with a Miller-Ross Poisson distribution.

Suggested Citation

  • Sheza M. El-Deeb & Asma Alharbi & Gangadharan Murugusundaramoorthy, 2023. "Sakaguchi Type Starlike Functions Related with Miller-Ross-Type Poisson Distribution in Janowski Domain," Mathematics, MDPI, vol. 11(13), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2918-:d:1182602
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    References listed on IDEAS

    as
    1. Nak Eun Cho & Ali Ebadian & Serap Bulut & Ebrahim Analouei Adegani, 2020. "Subordination Implications and Coefficient Estimates for Subclasses of Starlike Functions," Mathematics, MDPI, vol. 8(7), pages 1-11, July.
    2. Tamer M. Seoudy & A. Ghareeb, 2022. "Convolution Results and Fekete–Szegö Inequalities for Certain Classes of Symmetric q-Starlike and Symmetric q-Convex Functions," Journal of Mathematics, Hindawi, vol. 2022, pages 1-11, June.
    3. K. R. Karthikeyan & G. Murugusundaramoorthy & S. D. Purohit & D. L. Suthar & Firdous A. Shah, 2021. "Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus," Journal of Mathematics, Hindawi, vol. 2021, pages 1-9, August.
    4. M. K. Aouf & R. M. El-Ashwah & S. M. El-Deeb, 2014. "Fekete-Szegö Inequalities for Starlike Functions with respect to -Symmetric Points of Complex Order," Journal of Complex Analysis, Hindawi, vol. 2014, pages 1-10, March.
    Full references (including those not matched with items on IDEAS)

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