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

Abstract

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 n z n 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).