IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i13p2173-d1693900.html
   My bibliography  Save this article

A Study on q -Starlike Functions Connected with q -Extension of Hyperbolic Secant and Janowski Functions

Author

Listed:
  • Pengfei Bai

    (School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China)

  • Adeel Ahmad

    (Department of Mathematics and Statistics, Hazara University Mansehra, Dhodial 21120, Pakistan)

  • Akhter Rasheed

    (Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan)

  • Saqib Hussain

    (Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan)

  • Huo Tang

    (School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China)

  • Saima Noor

    (Department of Mathematics and Statistics, College of science, King Faisal University, Hofuf 31982, Al Ahsa, Saudi Arabia)

Abstract

This study introduces a novel subclass of q -starlike functions that is defined by the application of the q -difference operator and q -analogue of hyperbolic secant function. By making certain variations to the parameter “ q ”, the geometric interpretation of the domain hyperbolic secant function has also been discussed. The primary objective is to investigate and establish key results on the differential subordination of various orders within this newly defined class. Furthermore, convolution properties are explored and coefficient bounds are derived for these functions. A deeper analysis of these coefficients bounds unveils intriguing geometric insights and significant mathematical problems.

Suggested Citation

  • Pengfei Bai & Adeel Ahmad & Akhter Rasheed & Saqib Hussain & Huo Tang & Saima Noor, 2025. "A Study on q -Starlike Functions Connected with q -Extension of Hyperbolic Secant and Janowski Functions," Mathematics, MDPI, vol. 13(13), pages 1-17, July.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:13:p:2173-:d:1693900
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/13/2173/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/13/2173/
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:gam:jmathe:v:13:y:2025:i:13:p:2173-:d:1693900. 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.