IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i14p2317-d1706144.html
   My bibliography  Save this article

Symmetry and Quantum Calculus in Defining New Classes of Analytic Functions

Author

Listed:
  • Fuad Alsarari

    (Department of Mathematics and Statistics, College of Sciences in Yanbu, Taibah University, Madinah 46423, Saudi Arabia)

  • Abdulbasit Darem

    (Center for Scientific Research and Entrepreneurship, Northern Border University, Arar 73213, Saudi Arabia)

  • Muflih Alhazmi

    (Mathematics Department, College of Science, Northern Border University, Arar 73213, Saudi Arabia)

  • Alaa Awad Alzulaibani

    (Department of Mathematics and Statistics, College of Sciences in Yanbu, Taibah University, Madinah 46423, Saudi Arabia)

Abstract

This paper introduces a novel class of analytic functions that integrates q -calculus, Janowski-type functions, and ( a , b )-symmetrical functions. By exploring convolution operations and quantum calculus, we establish essential convolution conditions that lay the groundwork for subsequent research. Building on a new conceptual framework, we also define analogous neighborhoods for the classes F ¯ q a , b ( F , H ) and investigate related neighborhood properties. These developments provide a deeper understanding of the structural and analytical behavior of these functions, opening up avenues for future study.

Suggested Citation

  • Fuad Alsarari & Abdulbasit Darem & Muflih Alhazmi & Alaa Awad Alzulaibani, 2025. "Symmetry and Quantum Calculus in Defining New Classes of Analytic Functions," Mathematics, MDPI, vol. 13(14), pages 1-12, July.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:14:p:2317-:d:1706144
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/14/2317/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/14/2317/
    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:14:p:2317-:d:1706144. 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.