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 …

The main purpose of this article is to find the upper bound of the third Hankel determinant for
a family of q-starlike functions which are associated with the Ruscheweyh-type q-derivative …

By making use of the concept of basic (or q-) calculus, many subclasses of analytic and
symmetric q-starlike functions have been defined and studied from different viewpoints and …

This article defines a new operator called the q-Babalola convolution operator by using
quantum calculus and the convolution of normalized analytic functions in the open unit disk …

The current study's researchers create a new family of analytic functions in the open unit disk
Λ by generalizing the q-difference operator. Our study lays a foundational understanding of …

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 …

The main object of the present paper is to define q-analogue of Ruscheweyh operator for
multivalent functions. We investigate a number of useful properties including coefficient …

Starlike functions have gained popularity both in literature and in usage over the past
decade. In this paper, our aim is to examine some useful problems dealing with q-starlike …

Utilizing the concepts from q-calculus in the field of geometric function theory, we introduce a
subclass of p-valent meromorphic functions relating to the domain of lemniscate of Bernoulli …

The study presented in this article involves q-calculus connected to fractional calculus
applied in the univalent functions theory. Riemann-Liouville fractional integral of q …