IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/8162182.html
   My bibliography  Save this article

Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving q-Chebyshev Polynomials

Author

Listed:
  • Bilal Khan
  • Zhi-Guo Liu
  • Timilehin Gideon Shaba
  • Serkan Araci
  • Nazar Khan
  • Muhammad Ghaffar Khan
  • Om P. Ahuja

Abstract

In recent years, the usage of the q-derivative and symmetric q-derivative operators is significant. In this study, firstly, many known concepts of the q-derivative operator are highlighted and given. We then use the symmetric q-derivative operator and certain q-Chebyshev polynomials to define a new subclass of analytic and bi-univalent functions. For this newly defined functions’ classes, a number of coefficient bounds, along with the Fekete–Szegö inequalities, are also given. To validate our results, we give some known consequences in form of remarks.

Suggested Citation

  • Bilal Khan & Zhi-Guo Liu & Timilehin Gideon Shaba & Serkan Araci & Nazar Khan & Muhammad Ghaffar Khan & Om P. Ahuja, 2022. "Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving q-Chebyshev Polynomials," Journal of Mathematics, Hindawi, vol. 2022, pages 1-7, March.
    • Handle: RePEc:hin:jjmath:8162182
    DOI: 10.1155/2022/8162182
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2022/8162182.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2022/8162182.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/8162182?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Fuad Alsarari & Muhammad Imran Faisal & Alaa Awad Alzulaibani, 2023. "Geometric Properties of Certain Classes of Analytic Functions with Respect to ( x , y )-Symmetric Points," Mathematics, MDPI, vol. 11(19), pages 1-10, October.

    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:8162182. 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.