Geometric properties of mixed operator involving Ruscheweyh derivative and S˘al˘agean operator
DOI:
https://doi.org/10.24193/subbmath.2021.3.05Keywords:
Differential operator, conformable operator, fractional calculus, unit disk, univalent function, analytic function, subordination and superordination.Abstract
Operator theory is a magnificent tool for studying the geometric behaviors of holomorphic functions in the open unit disk. Recently, a combination bet- ween two well known differential operators, Ruscheweyh derivative and S˘ala˘gean 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.
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