Abstract
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 perspectives. In this article, we introduce a new class of meromorphic multivalent close-to-convex functions with the help of a q-differential operator. Furthermore, we investigate some useful properties such as sufficiency criteria, coefficient estimates, distortion theorem, growth theorem, radius of starlikeness, and radius of convexity for this new subclass.
Highlights
The aforementioned works of Srivastava [10,11] motivated a number of mathematicians to give their findings
By using q-Deference operator, Srivastava et al [14] studied a certain subclass of analytic function with symmetric points
We introduce a new family of meromorphic multivalent functions associated with Janowski domain using a differential operator and study some of its properties
Summary
The aforementioned works of Srivastava [10,11] motivated a number of mathematicians to give their findings. MK∗p(α) denote the class of meromorphic p-valent close-to-convex functions and defined as f (z) ∈ MK∗p(α) ⇔ We are essentially motivated by the recently published paper of Hu et al in Symmetry (see [26]) and some other related works as discussed above (see for example [27,28,29,30,31]), we define a subclass MKμ,q(p, m, A, B) of Ap by using the operator Dμm,q as follows. A function f ∈ Ap is said to be in the functions class MKμ,q(p, m, A, B), if the following condition is satisfied
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