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 …

In this paper, we introduce two new subclasses of bi-univalent functions using the q-Hermite
polynomials. Furthermore, we establish the bounds of the initial coefficients υ 2, υ 3, and υ 4 …

Using the derivative operators'q-analogs values, a wide variety of holomorphic function
subclasses, q-starlike, and q-convex functions have been researched and examined. With …

Various operators of fractional calculus, as well as their quantum (or q-) extensions have
been used widely and successfully in the study of the Taylor-Maclaurin coefficient estimation …

This research presents a new group of mathematical functions connected to Bernoulli's
Lemniscate, using the q-derivative. Expanding on previous studies, the research …

Our goal in this article is to use ideas from symmetric q-calculus operator theory in the study
of meromorphic functions on the punctured unit disc and to propose a novel symmetric q …

This paper introduces a novel subclass, denoted as T σ q, s\(μ 1; ν 1, κ, x\), of Te-univalent
functions utilizing Bernoulli polynomials. The study investigates this subclass, establishing …

In this study, a novel integral operator that extends the functionality of some existing integral
operators is presented. Specifically, the integral operator acts as the inverse operator to the …

The generalization of BVPs always covers a wide range of equations. Our choice in this
research is the generalization of Caputo-type fractional discrete differential equations that …

Many authors have obtained some inclusion properties of certain subclasses of univalent
and functions associated with distribution series, such as Pascal distribution, Binomial …