Differential Subordination and Superordination Results for a Subclass of Analytic Univalent Functions Using (A^μ)θ operator

Authors:Tariq Hamad Abduallah¹, Waggas Galib Atshan² , and Ahmed Shexo¹

Abstract:

This paper investigates a new subclass of analytic univalent functions defined in the open unit disk

Several sufficient conditions are established to determine differential subordination and superordination relationships for this subclass. In addition, corresponding sandwich-type results are derived based on these findings. The results obtained here extend and unify several previously known results for special operators and subclasses of analytic functions.

2020 Mathematics Subject Classification: 30C45

Keywords:Analytic function, Differential subordination, Differential superordination, Sandwich theorem