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The primary motivation behind this paper is to present new generalized differential operator Amμ,λ,δ (α, β) f (z) defined through U = {z∈C|z|<1} we present a new contribution is subclass of analytic functions Gm (γ, σ, χ). Additionally, we talk about some properties for univalent functions with many results for the subclass of analytic functions Gm (γ, σ, χ). Furthermore, with given solve technical to application involving fractional calculus for univalent functions.

Keywords

Analytic Functions, Differential Operator, Close-to-convex Functions, Fractional Calculus, Starlike Functions.
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