IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i20p4376-d1264524.html
   My bibliography  Save this article

On a New Class of Bi-Close-to-Convex Functions with Bounded Boundary Rotation

Author

Listed:
  • Daniel Breaz

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

  • Prathviraj Sharma

    (Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, India)

  • Srikandan Sivasubramanian

    (Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, India)

  • Sheza M. El-Deeb

    (Department of Mathematics, College of Science and Arts, Al-Badaya, Qassim University, Buraidah 52571, Saudi Arabia
    Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt)

Abstract

In the current article, we introduce a new class of bi-close-to-convex functions with bounded boundary rotation. For this new class, the authors obtain the first three initial coefficient bounds of the newly defined bi-close-to-convex functions with bounded boundary rotation. By choosing special bi-convex functions, the authors obtain the first three initial coefficient bounds in the last section. The authors also verify the special cases where the familiar Brannan and Clunie’s conjecture is satisfied. Furthermore, the famous Fekete–Szegö inequality is also obtained for this new class of functions. Apart from the new interesting results, some of the results presented here improves the earlier results existing in the literature.

Suggested Citation

  • Daniel Breaz & Prathviraj Sharma & Srikandan Sivasubramanian & Sheza M. El-Deeb, 2023. "On a New Class of Bi-Close-to-Convex Functions with Bounded Boundary Rotation," Mathematics, MDPI, vol. 11(20), pages 1-16, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:20:p:4376-:d:1264524
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/20/4376/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/20/4376/
    Download Restriction: no
    ---><---

    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:11:y:2023:i:20:p:4376-:d:1264524. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.