New Uses of q-Generalized Janowski Function in q-Bounded Turning Functions-Reference-Cited by-同舟云学术

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

Published:2024-05-16 Issue:10 Volume:12 Page:1552
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Shaba Timilehin Gideon¹^ORCID,Tawfiq Ferdous M. O.²^ORCID,Breaz Daniel³,Cotîrlă Luminit̨a-Ioana⁴^ORCID

Affiliation:

1. Department of Physical Sciences, Landmark University, Omu-Aran 251103, Nigeria

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

3. Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania

4. Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Abstract

In this paper, we discussed a new subclass JQ⅁,AB(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.

Funder

King Saud University, Riyadh, Saudi Arabia

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/10/1552/pdf

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