IDEAS home Printed from https://ideas.repec.org/a/wly/jjmath/v2022y2022i1n9446672.html

Coefficient Inequalities for a Subclass of Symmetric q ‐Starlike Functions Involving Certain Conic Domains

Author

Listed:
  • Mohammad Faisal Khan
  • Nazar Khan
  • Serkan Araci
  • Shahid Khan
  • Bilal Khan

Abstract

In this paper, we make use of a certain Ruscheweyh‐type q ‐differential operator to introduce and study a new subclass of q ‐starlike symmetric functions, which are associated with conic domains and the well‐known celebrated Janowski functions in D. We then investigate many properties for the newly defined functions class, including for example coefficients inequalities, the Fekete–Szegö Problems, and a sufficient condition. There are also relevant connections between the results provided in this study and those in a number of other published articles on this subject.

Suggested Citation

  • Mohammad Faisal Khan & Nazar Khan & Serkan Araci & Shahid Khan & Bilal Khan, 2022. "Coefficient Inequalities for a Subclass of Symmetric q ‐Starlike Functions Involving Certain Conic Domains," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:9446672
    DOI: 10.1155/2022/9446672
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2022/9446672
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/9446672?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
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Bilal Khan & Zhi-Guo Liu & Timilehin Gideon Shaba & Serkan Araci & Nazar Khan & Muhammad Ghaffar Khan, 2022. "Applications of q‐Derivative Operator to the Subclass of Bi‐Univalent Functions Involving q‐Chebyshev Polynomials," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    3. Saeid Shams & S. R. Kulkarni & Jay M. Jahangiri, 2004. "Classes of uniformly starlike and convex functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-3, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. H. Özlem Güney & Serap Bulut, 2013. "Convexity and Spirallikeness Conditions for Two New General Integral Operators," Journal of Mathematics, Hindawi, vol. 2013, pages 1-8, May.
    2. R. M. El-Ashwah & M. K. Aouf & A. A. M. Hassan & A. H. Hassan, 2013. "Subclass of Multivalent -Uniformly Functions with Varying Arguments," Journal of Mathematics, Hindawi, vol. 2013, pages 1-6, January.
    3. Mehwish Jabeen & Sarfraz Nawaz Malik & Shahid Mahmood & S. M. Jawwad Riaz & Md. Shajib Ali, 2022. "On q‐Convex Functions Defined by the q‐Ruscheweyh Derivative Operator in Conic Regions," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    4. 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.
    5. Shahid Khan & Saqib Hussain & Ilyas Khan & Amnah s. Al-johani & Mulugeta Andualem, 2022. "New Subclass of Analytic Function Related with Generalized Conic Domain Associated with q− Differential Operator," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    6. Shahid Khan & Saqib Hussain & Muhammad Naeem & Maslina Darus & Akhter Rasheed, 2021. "A Subclass of q -Starlike Functions Defined by Using a Symmetric q -Derivative Operator and Related with Generalized Symmetric Conic Domains," Mathematics, MDPI, vol. 9(9), pages 1-12, April.
    7. Muhammad Naeem & Saqib Hussain & Tahir Mahmood & Shahid Khan & Maslina Darus, 2019. "A New Subclass of Analytic Functions Defined by Using Salagean q -Differential Operator," Mathematics, MDPI, vol. 7(5), pages 1-13, May.
    8. Hari M. Srivastava & Nazar Khan & Maslina Darus & Muhammad Tariq Rahim & Qazi Zahoor Ahmad & Yousra Zeb, 2019. "Properties of Spiral-Like Close-to-Convex Functions Associated with Conic Domains," Mathematics, MDPI, vol. 7(8), pages 1-12, August.
    9. Ekram E. Ali & Hari M. Srivastava & Abeer M. Albalahi, 2023. "Subclasses of p -Valent κ -Uniformly Convex and Starlike Functions Defined by the q -Derivative Operator," Mathematics, MDPI, vol. 11(11), pages 1-19, June.
    10. R. M. El-Ashwah & M. K. Aouf & A. A. M. Hassan & A. H. Hassan, 2013. "A New Class of Analytic Functions Defined by Using Salagean Operator," International Journal of Analysis, Hindawi, vol. 2013, pages 1-10, February.
    11. 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.
    12. Wasim Ul-Haq & Shahid Mahmood, 2013. "Certain Properties of a Class of Close‐to‐Convex Functions Related to Conic Domains," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

    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:wly:jjmath:v:2022:y:2022:i:1:n:9446672. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/1469 .

    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.