New Results on Higher-Order Differential Subordination and Superordination for Univalent Analytic Functions Using a New Operator

Abstract

We present several new results for higher-order (fourth-order) differential subordination and superordination in this paper by using the new operator Hα,β,δ,ξ,γ,nf(v) and offer numerous new findings for fourth-order differential subordination and superordination. The innovative discoveries presented here are connected to those mentioned in previous articles. The differential subordination theory’s characteristics and outcomes are symmetric to the properties gained. Sandwich-type theorems are created by merging differential superordination theory with sandwich-type theorems.

Keywords

• fourth-order
• differential subordination
• superordination
• admissible function
• sandwich theorem
• dominant