IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/1256437.html
   My bibliography  Save this article

Bi-Starlike Function of Complex Order Involving Rabotnov Function Associated With Telephone Numbers

Author

Listed:
  • Sa’ud Al-Sa’di
  • Kaliappan Vijaya
  • Gangadharan Murugusundaramoorthy

Abstract

Telephone numbers defined through the recurrence relation Qn=Qn−1+n−1Qn−2 for n≥2, with initial values of Q0=Q1=1. The study of such numbers has led to the establishment of various classes of analytic functions associated with them. In this paper, we establish two new subclasses of bi-convex and bi-starlike functions of complex order in the open unit disk by utilizing the normalized Rabotnov function and defining a new linear operator subordinated with generalized telephone numbers. We also obtain bounds of the initial Taylor–Maclaurin coefficients, a2 and a3, for these functions and determine the Fekete–Szegö inequalities. In addition, several related corollaries are presented. These findings are based on the recent study of the Rabotnov function and demonstrate its significance in the field.

Suggested Citation

  • Sa’ud Al-Sa’di & Kaliappan Vijaya & Gangadharan Murugusundaramoorthy, 2025. "Bi-Starlike Function of Complex Order Involving Rabotnov Function Associated With Telephone Numbers," Journal of Mathematics, Hindawi, vol. 2025, pages 1-18, September.
    • Handle: RePEc:hin:jjmath:1256437
    DOI: 10.1155/jom/1256437
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2025/1256437.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2025/1256437.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/jom/1256437?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:jjmath:1256437. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.