IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i14p2273-d1439354.html
   My bibliography  Save this article

Coefficient Functionals of Sakaguchi-Type Starlike Functions Involving Caputo-Type Fractional Derivatives Subordinated to the Three-Leaf Function

Author

Listed:
  • Kholood M. Alsager

    (Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia)

  • Sheza M. El-Deeb

    (Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia
    Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt)

  • Gangadharan Murugusundaramoorthy

    (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT), Vellore 632014, India)

  • Daniel Breaz

    (Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, RO-510009 Alba Iulia, Romania)

Abstract

A challenging part of studying geometric function theory is figuring out the sharp boundaries for coefficient-related problems that crop up in the Taylor–Maclaurin series of univalent functions. Using Caputo-type fractional derivatives to define the families of Sakaguchi-type starlike functions with respect to symmetric points, this article aims to investigate the first three initial coefficient estimates, the bounds for various problems such as Fekete–Szegő inequality, and the Zalcman inequalities, by subordinating to the function of the three leaves domain. Fekete–Szegő-type inequalities and initial coefficients for functions of the form H − 1 and ζ H ( ζ ) and 1 2 log H ζ ζ connected to the three leaves functions are also discussed.

Suggested Citation

  • Kholood M. Alsager & Sheza M. El-Deeb & Gangadharan Murugusundaramoorthy & Daniel Breaz, 2024. "Coefficient Functionals of Sakaguchi-Type Starlike Functions Involving Caputo-Type Fractional Derivatives Subordinated to the Three-Leaf Function," Mathematics, MDPI, vol. 12(14), pages 1-14, July.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:14:p:2273-:d:1439354
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/14/2273/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/14/2273/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Abdullah Alsoboh & Ala Amourah & Maslina Darus & Rami Issa Al Sharefeen, 2023. "Applications of Neutrosophic q -Poisson distribution Series for Subclass of Analytic Functions and Bi-Univalent Functions," Mathematics, MDPI, vol. 11(4), pages 1-10, February.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:12:y:2024:i:14:p:2273-:d:1439354. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.