Generalization of Certain New subclass of P-valent Functions with Negative Coefficients Defined by Differential Operator

In this paper we present a new subclass SM_u,p (τ, γ, λ, α, p) for analytic functions with negative coefficients of the structure f (z) = z^p - Σ^∞_n=p+1 a_nzⁿ by using a generalized certain differential operator S^k_{α,β,λ,δ,p}f (z) The principle object of this paper is to research the different critical properties and characteristics of the class SM_u,p (τ, γ, λ, α, p). We additionally determine many results for the Hadamard products of functions belonging to the class SM_u,p (τ ,γ,λ,α,p).