In the present paper, we discuss a class of bi-univalent analytic functions by applying a
principle of differential subordinations and convolutions. We also formulate a class of bi …

In this article, by utilizing the theory of quantum (or q-) calculus, we define a new subclass of
analytic and multivalent (or p-valent) functions class A p, where class A p is invariant (or …

In the present paper, by using the concept of convolution and q-calculus, we define a certain
q-derivative (or q-difference) operator for analytic and multivalent (or p-valent) functions …

In this paper, we introduce a new class of harmonic univalent functions with respect to k-
symmetric points by using a newly-defined q-analog of the derivative operator for complex …

In this article, we introduce a new subclass of analytic functions utilizing the idea of Mittag‐
Leffler type Poisson distribution associated with the Janowski functions. Further, we discuss …

In the present investigation, with the help of certain higher-order q-derivatives, some new
subclasses of multivalent q-starlike functions which are associated with the Janowski …

In this paper, for the first time, we apply symmetric q-calculus operator theory to define
symmetric Salagean q-differential operator. We introduce a new class Hm q (α) of harmonic …

In this article, we introduce a new class of multivalent analytic functions associated with petal-
shape region. Furthermore, some useful properties, such as the Fekete–Szegö inequality …

In this paper, we establish certain new subclasses of meromorphic harmonic functions using
the principles of q-derivative operator. We obtain new criteria of sense preserving and …

This investigation is on a set SN∗ q (n, τ; η) of q-starlike functions defined by using a newly
defined q-analogue of Al-Oboudi-Al-Qahtani integral operator along with subordination and …