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

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

• analytic function
• univalent function
• differential operator
• third-order
• admissible functions
• dominant