Basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric
functions and basic (or q-) hypergeometric polynomials, are known to have widespread …

In the present investigation, our aim is to define a generalized subclass of analytic and
biunivalent functions associated with a certain q-integral operator in the open unit disk U …

In the present investigation, by using certain higher-order q-derivatives, the authors
introduce and investigate several new subclasses of the family of multivalent q-starlike …

In this paper, we first investigate some subclasses of q-starlike functions. We then apply
higher-order q-derivative operators to introduce and study a new subclass of q-starlike …

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 …

First, by making use of the concept of basic (or q-) calculus, as well as the principle of
subordination between analytic functions, generalization R q (h) of the class R (h) of analytic …

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 paper our aim is to study some valuable problems dealing with newly defined
subclass of multivalent q-starlike functions. These problems include the initial coefficient …

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 …