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

Timilehin Gideon Shaba (), Ferdous M. O. Tawfiq, Daniel Breaz and Luminit̨a-Ioana Cotîrlă
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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

Mathematics, 2024, vol. 12, issue 10, 1-19

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.

Keywords: Hankel determinant; Fekete–Szegö estimates; bounded turning function; q-generalized Janowski function; generalized derivatives (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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