In this article, we introduce and investigate a generalized q-Bernardi integral operator (or (p,
q)-Bernardi integral operator) for analytic and p-valent (or multivalent) functions. By using …

The aim of this paper is to define the operator of q-derivative based upon the Borel
distribution and by using this operator, we familiarize a new subclass of β-uniformly starlike …

By considering the polynomial function $\phi_ {car}(z)= 1+ z+ z^ 2/2, $ we define the class
$\Scar $ consisting of normalized analytic functions $ f $ such that $ zf'/f $ is subordinate to …

The theory of q-analogs is frequently encountered in numerous areas, including fractals and
dynamical systems. The q-derivatives and q-integrals play an important role in the study of q …

The theory of $ q $-analogs is frequently encountered in numerous areas, including fractals
and dynamical systems. The $ q $-derivatives and $ q $-integrals play an important role in …

In this paper, we have established the inclusion relations for k-uniformly starlike functions
under the (Dqf)(z) operator. We define two new subclass of k-uniformly starlike functions of …

We introduce in this paper a new family of uniformly convex functions related to the Deniz–
Özkan differential operator. By using this family of functions with a negative coefficient, we …

Recently the concept of fuzzy set theory is used to introduce the notion of fuzzy
differentiation by several authors in the field of geometric function theory. In this paper, fuzzy …

Using the Al-Oboudi differential operator D n, α λ, we define a new class R n, α λ (δ, h) in the
open uint disk E={z∈ C:| z|< 1}. The class R n, α λ (δ, h) generalizes the number of …

In this paper, we introduce a new subclass of k-uniformly close-to-convex functions with
respect to conjugate points. We study characterization, coefficient estimates, distortion …