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New Uses of q -Generalized Janowski Function in q -Bounded Turning Functions

Author

Listed:
  • Timilehin Gideon Shaba

    (Department of Physical Sciences, Landmark University, Omu-Aran 251103, Nigeria)

  • Ferdous M. O. Tawfiq

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia)

  • Daniel Breaz

    (Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania)

  • Luminit̨a-Ioana Cotîrlă

    (Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania)

Abstract

In this paper, we discussed a new subclass J Q ⅁ , A B ( q ) of bi-univalent functions in the unit disk U using q -generalized Janowski function and q -derivative. Additionally, certain properties were examined and effectively demonstrated, such as the second Hankel determinant, Fekete–Szegö estimates, and Coefficients Bounds. Each of these bounds were precise and were confirmed by finding the extremal function for the new class. Furthermore, there are in-depth conversations available regarding certain intriguing specific cases of the outcomes achieved.

Suggested Citation

  • Timilehin Gideon Shaba & Ferdous M. O. Tawfiq & Daniel Breaz & Luminit̨a-Ioana Cotîrlă, 2024. "New Uses of q -Generalized Janowski Function in q -Bounded Turning Functions," Mathematics, MDPI, vol. 12(10), pages 1-19, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:10:p:1552-:d:1395687
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