In the present work, we aim to introduce and investigate a novel comprehensive subclass of
normalized analytic bi-univalent functions involving Gegenbauer polynomials and the zero …

This article defines a new operator called the q-Babalola convolution operator by using
quantum calculus and the convolution of normalized analytic functions in the open unit disk …

In the current study, we provide a novel qualitative new subclass of analytical and bi-
univalent functions in the symmetry domain U defined by the use of Gegenbauer …

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 …

In this paper, we introduce a new subclass of bi-univalent functions defined using Lucas-
Balancing polynomials. For functions in each of these bi-univalent function subclasses, we …

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 …

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 Hankel determinant, which plays a significant role in the theory of univalent functions, is
investigated here in the context of bi-univalent analytic functions. Specifically, this paper is …

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 …

This paper introduces a novel subclass of bi-univalent analytic functions by utilizing a
symmetric q-derivative operator in conjunction with Gegenbauer polynomials. Within this …