Applications of some subclasses of meromorphic functions associated with the q-derivatives of the q-binomials
Date
2023
Authors
Ali, Ekram E.
Srivastava, Hari M.
Lashin, Abdel Moneim Y.
Albalahi, Abeer M.
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematics
Abstract
In this article, we make use of the q-binomial theorem to introduce and study two new subclasses ℵ(aq, q) and ℵ(a, q) of meromorphic functions in the open unit disk U, that is, analytic functions in the punctured unit disk U∗=U\{0}={z : z ∈ ℂ and 0 < |z|<1}. We derive inclusion relations and investigate an integral operator that preserves functions which belong to these function classes. In addition, we establish a strict inequality involving a certain linear convolution operator which we introduce in this article. Several special cases and corollaries of our main results are also considered.
Description
Keywords
q-derivatives of binomials, Jackson's q-integrals, analytic functions, starlike and convex functions, analytic and meromorphic functions, hadamard product (or convolution), q-Bernardi integral operator
Citation
Ali, E. E., Srivastava, H. M., Lashin, A. M., & Albalahi, A. M. (2023). Applications of some subclasses of meromorphic functions associated with the q-derivatives of the q-binomials. Mathematics, 11(11), 2496. https://doi.org/10.3390/math11112496