Abstract
In this article, the ideas of post-quantum calculus and meromorphic multivalent functions are combined and some applications of these functions are discussed. We introduce a new subclass of meromorphic multivalent functions in association with Janowski domain. We investigate and study some useful geometric properties of this class of functions such as sufficiency criteria, distortion problem, growth theorem, radii of starlikeness and convexity, convex combination, and coefficient estimates for this class.
Highlights
Introduction and DefinitionsIn this article, we introduce a new subclass of meromorphic multivalent functions in parameter α, in post-quantum analogue. e quantum calculus (q-calculus) is the generalization of classical calculus by replacing the notion of limits with a parameter q
We introduce a new subclass of meromorphic multivalent functions in parameter α, in post-quantum analogue. e quantum calculus (q-calculus) is the generalization of classical calculus by replacing the notion of limits with a parameter q
In the field of geometric function theory (GFT), the q-generalization of different classes of analytic and meromorphic functions is the current focus of various prominent researchers
Summary
We introduce a new subclass of meromorphic multivalent functions in parameter α, in post-quantum analogue. e quantum calculus (q-calculus) is the generalization of classical calculus by replacing the notion of limits with a parameter q. We introduce a new subclass of meromorphic multivalent functions in parameter α, in post-quantum analogue. Further work by Ahmad and Arif [15] generalized a subclass of meromorphic multivalent close to convex functions via a q-operator. Motivated from the above discussed work, in which many ideas have been generalized to post-quantum analogue, we introduce a new class of meromorphic multivalent functions associated with Janowski domain. To better understand this class, we characterize with some results relating to bounds of its coefficients in its power series. We give some properties for class MP,Q(p, α, L, M)
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