Ali, Ekram E.Srivastava, Hari M.Lashin, Abdel Moneim Y.Albalahi, Abeer M.2024-01-292024-01-2920232023Ali, 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/math11112496https://doi.org/10.3390/math11112496http://hdl.handle.net/1828/15902In 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.enq-derivatives of binomialsJackson's q-integralsanalytic functionsstarlike and convex functionsanalytic and meromorphic functionshadamard product (or convolution)q-Bernardi integral operatorArticleDepartment of Mathematics and Statistics