An application of Miller–Ross-type Poisson distribution on certain subclasses of bi-univalent functions subordinate to Gegenbauer polynomials

A Amourah, BA Frasin, TM Seoudy - Mathematics, 2022 - mdpi.com
The Miller–Ross-type Poisson distribution is an important model for plenty of real-world
applications. In the present analysis, we study and introduce a new class of bi-univalent …

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 …

Fekete–Szegö Functional Problem for a Special Family of m-Fold Symmetric Bi-Univalent Functions

SR Swamy, BA Frasin, I Aldawish - Mathematics, 2022 - mdpi.com
In the current work, we introduce a special family of the function family of analytic and m-fold
symmetric bi-univalent functions and obtain estimates of the Taylor–Maclaurin coefficients …

A Comprehensive Family of Biunivalent Functions Defined by k‐Fibonacci Numbers

BA Frasin, SR Swamy, I Aldawish - Journal of Function Spaces, 2021 - Wiley Online Library
By using k‐Fibonacci numbers, we present a comprehensive family of regular and
biunivalent functions of the type gz= z+∑ j= 2∞ djzj in the open unit disc D. We estimate the …

[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 …

Coefficient inequalities and Fekete–Szegö-type problems for family of bi-univalent functions

T Al-Hawary, A Amourah, H Almutairi, B Frasin - Symmetry, 2023 - mdpi.com
In this study, we present a novel family of holomorphic and bi-univalent functions, denoted
as E Ω (η, ε; Ϝ). We establish the coefficient bounds for this family by utilizing the …

A Special Family of m-Fold Symmetric Bi-Univalent Functions Satisfying Subordination Condition

I Aldawish, SR Swamy, BA Frasin - Fractal and Fractional, 2022 - mdpi.com
In this paper, we introduce a special family M σ m (τ, ν, η, φ) of the function family σ m of m-
fold symmetric bi-univalent functions defined in the open unit disc D and obtain estimates of …

Fekete–Szegö Inequality for Bi‐Univalent Functions Subordinate to Horadam Polynomials

AE Shammaky, BA Frasin… - Journal of Function …, 2022 - Wiley Online Library
Making use of Horadam polynomials, we propose a special family of regular functions of the
type gz= z+∑ j= 2∞ djzj which are bi‐univalent (or bi‐schlicht) in the disc {z∈ ℂ:| z|< 1}. We …

Coefficient bounds for Al-Oboudi type bi-univalent functions based on a modified sigmoid activation function and Horadam polynomials

SR Swamy - Earthline Journal of Mathematical Sciences, 2021 - earthlinepublishers.com
Abstract Using the Al-Oboudi type operator, we present and investigate two special families
of bi-univalent functions in $\mathfrak {D} $, an open unit disc, based on $\phi (s)=\frac …

Applications of Shell-like Curves Connected with Fibonacci Numbers

A Amourah, I Aldawish, BA Frasin, T Al-Hawary - Axioms, 2023 - mdpi.com
We introduce a new subclass J Σ η, δ, μ (p˜) of bi-univalent functions, defined by shell-like
curves connected with Fibonacci numbers. Our main results in this paper include estimates …