Abstract
The purpose of this paper is to establish some subordination and superordination results involving Hadamard product for certain normalized analytic functions associated with Wanas differential operator defined in the open unit disk and obtain sandwich results. Our results extend corresponding previously known results.
Highlights
Introduction and PreliminariesDenote by H the class of analytic functions in the open unit diskU = {z ∈ C : z < 1}
For a positive integer n and a ∈ C, assume that H[a, n] is the subclass of H consisting of functions that have the form: f (z) = a + an zn + an+1zn+1 + L
Let A be the subclass of H consisting of functions of the form: Received: March 8, 2020; Accepted: March 28, 2020
Summary
Keywords and phrases: analytic function, differential subordination, differential superordination, Hadamard product, Wanas differential operator. With a view to recalling the principal of subordination between analytic functions, let f , g ∈ H. If p and ψ( p(z), zp′(z), z2 p′′(z); z) are univalent functions in U and if p satisfies the second-order differential superordination: h(z) p ψ( p(z), zp′(z), z2 p′′(z); z), (1.3)
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