Certain Properties of a Class of Functions Defined by Means of a Generalized Differential Operator

Matthew Olanrewaju Oluwayemi, Kaliappan Vijaya and Adriana Cătaş
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Matthew Olanrewaju Oluwayemi: SDG 4 (Quality Education Research Group), Landmark University, Omu-Aran 1001, Nigeria
Kaliappan Vijaya: School of Advanced Sciences, VIT University, Vellore 632014, India
Adriana Cătaş: Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania

Mathematics, 2022, vol. 10, issue 2, 1-10

Abstract: In this article, we construct a new subclass of analytic functions involving a generalized differential operator and investigate certain properties including the radius of starlikeness, closure properties and integral means result for the class of analytic functions with negative coefficients. Further, the relationship between the results and some known results in literature are also established.

Keywords: closure; integral transform; convex set; fractional calculus (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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