Investigating New Subclasses of Bi-Univalent Functions Associated with q-Pascal Distribution Series Using the Subordination Principle

A Alsoboh, A Amourah, M Darus, CA Rudder - Symmetry, 2023 - mdpi.com
In the real world, there are many applications that find the Pascal distribution to be a useful
and relevant model. One of these is the normal distribution. In this work, we develop a new …

Applications of Gegenbauer polynomials for subfamilies of bi-univalent functions involving a Borel distribution-type Mittag-Leffler function

A Alatawi, M Darus, B Alamri - Symmetry, 2023 - mdpi.com
In this research, a novel linear operator involving the Borel distribution and Mittag-Leffler
functions is introduced using Hadamard products or convolutions. This operator is utilized to …

Applications of Laguerre polynomials on a new family of bi-prestarlike functions

A Kareem Wanas, A Alb Lupaş - Symmetry, 2022 - mdpi.com
In this article, we establish the bounds for the initial Taylor–Maclaurin coefficients| a 2| and| a
3| for a new family G Σ (δ, ξ, λ; h) of holormorphic and bi-univalent functions which involve …

Certain Class of Bi-Univalent Functions Defined by Sălăgean q-Difference Operator Related with Involution Numbers

D Breaz, G Murugusundaramoorthy, K Vijaya, LI Cotîrlǎ - Symmetry, 2023 - mdpi.com
We introduce and examine two new subclass of bi-univalent function Σ, defined in the open
unit disk, based on Sălăgean-type q-difference operators which are subordinate to the …

Coefficient Estimate and Fekete-Szeg\

R Öztürk, İ Aktaş - Sahand Communications in Mathematical …, 2024 - scma.maragheh.ac.ir
This article deals with two new subclasses of analytic and bi-univalent functions in the open
unit disk, which is defined by applying subordination principle between analytic functions …

On some new subclasses of bi-univalent functions defined by Balancing polynomials

İ Aktaş, İ Karaman - Karamanoğlu Mehmetbey Üniversitesi …, 2023 - dergipark.org.tr
In this paper, two new subclasses of holomorphic and bi-univalent functions are introduced
by using Balancing polynomials. Then, coefficient estmations are determined for the first two …

On some new subclasses of bi-univalent functions defined by generalized Bivariate Fibonacci polynomial

N Yilmaz, İ Aktaş - Afrika Matematika, 2022 - Springer
In this paper, two new subclasses of bi-univalent functions are introduced by using
generalized Bivariate Fibonacci polynomials. First, initial Taylor–Maclaurin coefficient …

Coefficient bounds for a certain family of biunivalent functions defined by Gegenbauer polynomials

I Al-Shbeil, AK Wanas, A Benali… - Journal of …, 2022 - Wiley Online Library
In the present work, by making use of Gegenbauer polynomials, we introduce and study a
certain family of λ‐pseudo bistarlike and λ‐pseudo biconvex functions with respect to …

Coefficient estimate problems for a new subclass of bi-univalent functions linked with the generalized bivariate fibonacci-like polynomial

HH Güleç, İ Aktaş - Journal of Engineering Technology and Applied …, 2024 - dergipark.org.tr
In this article, using the definition of generalized bivariate Fibonacci-like polynomials that
include Horadam and Chebyshev polynomials a novel subclass of bi-univalent functions are …

New Subfamily of Bi-starlike and Bi-convex Functions Defined by the q-Janowski Function

A Alsoboh, A Amourah, FM Sakar, D Breaz - 2023 - preprints.org
In this study, we introduce a new class of bi-univalent functions using q-Janowski Function.
We derive the Fekete-Szegö functional problems for functions in this new subclass, as well …