In this present paper, we define a new operator in conjugation with the basic (or q-) calculus.
We then make use of this newly defined operator and define a new class of analytic and bi …

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 …

In our current study, we apply differential subordination and quantum calculus to introduce
and investigate a new class of analytic functions associated with the q-differential operator …

Motivated by the recent work on symmetric analytic functions by using the concept of Faber
polynomials, this article introduces and studies two new subclasses of bi-close-to-convex …

This paper introduces a new fractional operator by using the concepts of fractional q-
calculus and q-Mittag-Leffler functions. With this fractional operator, Janowski functions are …

The present study introduces a new family of analytic functions by utilizing the q-derivative
operator and the q-version of the hyperbolic tangent function. We find certain inequalities …

In this paper, we first prove the q-version of Schwarz Pick's lemma. This result improved the
one presented earlier in the literature without proof. Using this novel result, we study the …

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

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 …