On Third-Order Differential Subordination and Superordination Properties of Analytic Functions Defined by a Generalized Operator

In this current study, we aim to give some results for third-order differential subordination and superordination for analytic functions in U={z∈ℂ:|z|<1} involving the generalized operator Iα,βjf. The results are derived by investigating relevant classes of admissible functions. Some new results on differential subordination and superordination with some sandwich theorems are obtained. Moreover, several particular cases are also noted. The properties and results of the differential subordination are symmetry to the properties of the differential superordination to form the sandwich theorems.