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 …

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 …

In the real world there are many applications that find the Bell distribution to be a useful and
relevant model. One of these is the normal distribution. In this paper, we develop a new …

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 …

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 …

The paper introduces a new family of analytic bi-univalent functions that are injective and
possess analytic inverses, by employing aq-analogue of the derivative operator. Moreover …

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 …

In this paper, we introduce and investigate two new subclasses of analytic and bi-univalent
functions using the q-derivative operator D q 0< q< 1 and the Gegenbauer polynomials in a …

In the present paper, we introduce three new classes of bi-univalent functions defined by
means of Gegenbauer polynomials. For functions in each of these three bi-univalent function …

Several different subclasses of the bi-univalent function class Σ were introduced and studied
by many authors using distribution series like Pascal distribution, Poisson distribution, Borel …