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

TG Shaba, FMO Tawfiq, D Breaz, LI Cotîrlă - Mathematics, 2024 - mdpi.com
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 …

On a General Subclass of q-Starlike and q-Convex Analytic Functions

AE Shammaky, TM Seoudy - Contemporary Mathematics, 2024 - ojs.wiserpub.com
We introduce a certain subclass of analytic functions in the open unit disk U involving the q-
derivative operator. Some convolution results and Fekete-Szegö inequalities for the analytic …