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 …

One of the most important problems in the study of geometric function theory is knowing how
to obtain the sharp bounds of the coefficients that appear in the Taylor–Maclaurin series of …

By utilizing the concept of the q-fractional derivative operator and bi-close-to-convex
functions, we define a new subclass of A, where the class A contains normalized analytic …

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 …

In numerous geometric and physical applications of complex analysis, estimating the sharp
bounds of coefficient-related problems of univalent functions is very important due to the fact …

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 …

One of the challenging tasks in the study of function theory is how to obtain sharp estimates
of coefficients that appear in the Taylor–Maclaurin series of analytic univalent functions, and …

In this study, we introduce a new class of normalized analytic and bi-univalent functions
denoted by D Σ (δ, η, λ, t, r). These functions are connected to the Bazilevič functions and the …