In the present study, our team demonstrated novel findings through the use of the new operator, which was obtained via the convolution product of the four amora-arus. Includes certain differential subordination results of the third degree, including the operator MNω,μβ,δ,α,γ  (τ, ϱ)Υ(ρ), and this is obtaining the dependence. We also looked into the group for embraced functions, such as the government relations office’s subordination derivative as well as the Srivastava operator. Additionally, find the operator’s third difference level MNω,μβ,δ,α,γ (τ, ϱ)Υ(ρ) and prove a number of theorems to identify the optimal subordinate. In the final section of the study, some sandwich-type theories were addressed, as well as determining the best dominant and subordinate ones. keeps its geometric functions. Initialization results can be obtained within the unit disk by imposing limitations on functions that belong to subclass properties.