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 …

By making use of the concept of basic (or q-) calculus, a subclass S⁎(L, q) of q-starlike
functions, which is associated with the q-exponential function, is introduced here in the open …

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 …

By making use of the concept of basic (or q-) calculus, various families of q-extensions of
starlike functions, which are associated with the Janowski functions in the open unit disk U …

The main contribution of this article is to define a family of starlike functions associated with a
cosine hyperbolic function. We investigate convolution conditions, integral preserving …

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, the authors introduce a new subclass of meromorphic q-starlike functions
which are associated with the Janowski functions. A characterization of meromorphically q …

Three new subfamilies of multivalent (or p-valent) g-starlike functions with respect to higher-
order g-derivatives are introduced. Several properties of such families of g-starlike functions …

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 …