Applications of some subclasses of meromorphic functions associated with the q-derivatives of the q-binomials

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dc.contributor.authorAli, Ekram E.
dc.contributor.authorSrivastava, Hari M.
dc.contributor.authorLashin, Abdel Moneim Y.
dc.contributor.authorAlbalahi, Abeer M.
dc.date.accessioned2024-01-29T16:15:17Z
dc.date.available2024-01-29T16:15:17Z
dc.date.copyright2023en_US
dc.date.issued2023
dc.description.abstractIn 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.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationAli, 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/math11112496en_US
dc.identifier.urihttps://doi.org/10.3390/math11112496
dc.identifier.urihttp://hdl.handle.net/1828/15902
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectq-derivatives of binomials
dc.subjectJackson's q-integrals
dc.subjectanalytic functions
dc.subjectstarlike and convex functions
dc.subjectanalytic and meromorphic functions
dc.subjecthadamard product (or convolution)
dc.subjectq-Bernardi integral operator
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleApplications of some subclasses of meromorphic functions associated with the q-derivatives of the q-binomialsen_US
dc.typeArticleen_US

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