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Third-Order Differential Subordination Results for Analytic Functions Associated with a Certain Differential Operator

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In this research, we study suitable classes of admissible functions and establish the properties of third-order differential subordination by making use a certain differential operator of analytic functions in U… Click to show full abstract

In this research, we study suitable classes of admissible functions and establish the properties of third-order differential subordination by making use a certain differential operator of analytic functions in U and have the normalized Taylor–Maclaurin series of the form: f(z)=z+∑n=2∞anzn, (z∈U). Some new results on differential subordination with some corollaries are obtained. These properties and results are symmetry to the properties of the differential superordination to form the sandwich theorems.

Keywords: certain differential; order differential; third order; differential operator; differential subordination; subordination

Journal Title: Symmetry
Year Published: 2022

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