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 …

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 this study, we begin by examining the τ-fractional differintegral operator and proceed to
establish a novel subclass in the open unit disk E. The determination of the n th coefficient …

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 …

In this study, we apply q-symmetric calculus operator theory and investigate a generalized
symmetric Sălăgean q-differential operator for harmonic functions in an open unit disk. We …

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 article, we first consider the fractional q-differential operator and the λ, q-fractional
differintegral operator D q λ: A→ A. Using the λ, q-fractional differintegral operator, we define …

Using the concepts of q-fractional calculus operator theory, we first define a (λ, q)-
differintegral operator, and we then use m-fold symmetric functions to discover a new family …

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 …