Coefficient Bounds for a Family of s-Fold Symmetric Bi-Univalent Functions

I Al-Shbeil, N Khan, F Tchier, Q Xin, SN Malik, S Khan - Axioms, 2023 - mdpi.com
We present a new family of s-fold symmetrical bi-univalent functions in the open unit disc in
this work. We provide estimates for the first two Taylor–Maclaurin series coefficients for these …

Applications of (p, q)-Gegenbauer Polynomials on a Family of Bi-univalent Functions

EA Oyekan, TA Olatunji… - Earthline Journal of …, 2023 - earthlinepublishers.com
In this work, we investigate the (p, q)-Gegenbauer polynomials for a class of analytic and bi-
univalent functions defined in the open unit disk, with respect to subordination. We give an …

Exploring a distinct group of analytical functions linked with Bernoulli's Lemniscate using the q-derivative

I Al-Shbeil, TG Shaba, AA Lupas, RK Alhefthi - Heliyon, 2024 - cell.com
This research presents a new group of mathematical functions connected to Bernoulli's
Lemniscate, using the q-derivative. Expanding on previous studies, the research …

Bernoulli polynomials for a new subclass of Te-univalent functions

G Saravanan, S Baskaran, B Vanithakumari, L Alnaji… - Heliyon, 2024 - cell.com
This paper introduces a novel subclass, denoted as T σ q, s\(μ 1; ν 1, κ, x\), of Te-univalent
functions utilizing Bernoulli polynomials. The study investigates this subclass, establishing …

Applications of Gegenbauer Polynomials for Two Families of Bi-univalent Functions Associating λ-Pseudo-Starlike and Convex Functions with Sakaguchi Type …

BA Abd, AK Wanas - Journal of Al-Qadisiyah for Computer Science …, 2024 - jqcsm.qu.edu.iq
In the present article, we introduce two families and of holomorphic and bi-univalent
functions associating-pseudo-starlike and convex functions with Sakaguchi type functions …

[PDF][PDF] Fourth Teoplitz Determinant for Analytic Function Defined by Gegenbauer Polynomial involving the Sine function

OR Oluwaseyi, WT Ademosu… - International Journal of …, 2023 - ajol.info
Fourth Teoplitz Determinant for Analytic Function Defined by Gegenbauer Polynomial involving
the Sine function Page 1 International Journal of Mathematical Sciences and Optimization …