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Authors: RABHA W. IBRAHIM, MAYADA T. WAZI, NADIA AL-SAIDI.
DOI: 10.24193/subbmath. 2021.3.05
Published Online: 2021-09-30
Published Print: 2021-09-30
pp. 471-477
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Operator theory is a magnificent tool for studying the geometric behaviors of holomorphic functions in the open unit disk. Recently, a combination between two well known differential operators, Ruscheweyh derivative and Sălăgean operator are suggested by Lupas in [10]. In this effort, we shall follow the same principle to formulate a generalized differential-difference operator. We deliver a new class of analytic functions containing the generalized operator. Applications are illustrated in the sequel concerning some differential subordinations of the operator.
Mathematics Subject Classification (2010): 30C45.
Keywords: differential operator, conformable operator, fractional calculus, unit disk, univalent function, analytic function, subordination and superordination.
