Coefficient Estimates and the Fekete–Szegö Problem for New Classes of m-Fold Symmetric Bi-Univalent Functions

GI Oros, LI Cotîrlă - Mathematics, 2022 - mdpi.com
The results presented in this paper deal with the classical but still prevalent problem of
introducing new classes of m-fold symmetric bi-univalent functions and studying properties …

Consolidation of a Certain Discrete Probability Distribution with a Subclass of Bi‐Univalent Functions Involving Gegenbauer Polynomials

A Amourah, M Alomari, F Yousef… - Mathematical Problems …, 2022 - Wiley Online Library
In this work, we introduce and investigate a new subclass of analytic bi‐univalent functions
based on subordination conditions between the zero‐truncated Poisson distribution and …

Fekete–Szegö inequalities for a new subclass of bi-univalent functions associated with Gegenbauer polynomials

M Çağlar, LI Cotîrlă, M Buyankara - Symmetry, 2022 - mdpi.com
We introduce and investigate in this paper a new subclass of bi-univalent functions
associated with the Gegenbauer polynomials which satisfy subordination conditions defined …

[PDF][PDF] Collection of bi-univalent functions using bell distribution associated with Jacobi polynomials

A Amourah, T Al-Hawary, F Yousef… - Int. J. Neutrosophic …, 2025 - researchgate.net
The aim of this study is to present novel collections of bi-univalent functions, which are
characterized using the Bell Distribution. These collections are delineated through the …

New subclasses of bi-univalent functions with respect to the symmetric points defined by Bernoulli polynomials

M Buyankara, M Çağlar, LI Cotîrlă - Axioms, 2022 - mdpi.com
In this paper, we introduce and investigate new subclasses of bi-univalent functions with
respect to the symmetric points in U= z∈ C: z< 1 defined by Bernoulli polynomials. We …

[PDF][PDF] Coefficient bounds for Al-Oboudi type bi-univalent functions connected with a modified sigmoid activation function and k-Fibonacci numbers

A Amourah, BA Frasin, SR Swamy… - J. Math. Computer …, 2022 - researchgate.net
Abstract Using the Al-Oboudi type operator, we present and investigate two special families
of bi-univalent functions connected with the activation function φ (s)= 2/(1+ e− s), s∈ R and k …

[PDF][PDF] Two inclusive subfamilies of bi-univalent functions

T Al-Hawary, A Amourah, J Salah… - International Journal of …, 2024 - researchgate.net
The aim of this article is to establish two new and qualitative subfamilies F (ε, κ, ℵ) and G (ε,
κ, ℵ) of biunivalent functions. For functions in these subfamilies, we determine the first two …

[PDF][PDF] Jacobi polynomials and bi-univalent functions

A Amourah, N Anakira, MJ Mohammed… - Int. J. Math. Comput …, 2024 - researchgate.net
In this paper, we present a novel qualitative class of analytic and bi-univalent functions
associated with Jacobi polynomials. Moreover, we establish bounds on coefficients for …

The study of coefficient estimates and Fekete–Szegö inequalities for the new classes of m-fold symmetric bi-univalent functions defined using an operator

D Breaz, LI Cotîrlă - Journal of Inequalities and Applications, 2023 - Springer
The objective of this paper is to introduce new classes of m-fold symmetric bi-univalent
functions. We discuss estimates on the Taylor–Maclaurin coefficients| am+ 1| and| a 2 m+ 1 …

Exploring a Special Class of Bi-Univalent Functions: q-Bernoulli Polynomial, q-Convolution, and q-Exponential Perspective

TG Shaba, S Araci, BO Adebesin, A Esi - Symmetry, 2023 - mdpi.com
This research article introduces a novel operator termed q-convolution, strategically
integrated with foundational principles of q-calculus. Leveraging this innovative operator …