IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i18p3970-d1242743.html
   My bibliography  Save this article

A Family of Holomorphic and m -Fold Symmetric Bi-Univalent Functions Endowed with Coefficient Estimate Problems

Author

Listed:
  • Pishtiwan Othman Sabir

    (Department of Mathematics, College of Science, University of Sulaimani, Sulaimani 46001, Kurdistan Region, Iraq)

  • Hari Mohan Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
    Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea
    Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy)

  • Waggas Galib Atshan

    (Department of Mathematics, College of Science, University of Al-Qadisiyah, Al-Diwaniyah 58001, Al-Qadisiyah, Iraq)

  • Pshtiwan Othman Mohammed

    (Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Kurdistan Region, Iraq)

  • Nejmeddine Chorfi

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

  • Miguel Vivas-Cortez

    (Faculty of Exact and Natural Sciences, School of Physical Sciences and Mathematics, Pontifical Catholic University of Ecuador, Av. 12 de Octubre 1076 y Roca, Quito 170143, Ecuador)

Abstract

This paper presents a new general subfamily N Σ m u , v ( η , μ , γ , ℓ ) of the family Σ m that contains holomorphic normalized m -fold symmetric bi-univalent functions in the open unit disk D associated with the Ruscheweyh derivative operator. For functions belonging to the family introduced here, we find estimates of the Taylor–Maclaurin coefficients a m + 1 and a 2 m + 1 , and the consequences of the results are discussed. The current findings both extend and enhance certain recent studies in this field, and in specific scenarios, they also establish several connections with known results.

Suggested Citation

  • Pishtiwan Othman Sabir & Hari Mohan Srivastava & Waggas Galib Atshan & Pshtiwan Othman Mohammed & Nejmeddine Chorfi & Miguel Vivas-Cortez, 2023. "A Family of Holomorphic and m -Fold Symmetric Bi-Univalent Functions Endowed with Coefficient Estimate Problems," Mathematics, MDPI, vol. 11(18), pages 1-13, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3970-:d:1242743
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/18/3970/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/18/3970/
    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:18:p:3970-:d:1242743. 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.