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The new subclass denoted by Sq (α, β, γ) of q-valent holomorphic functions has been introduced
|zf'(z)/f(z)-q/2ξ(zf'(z)/f(z)-α)-(zf'(z)/f(z)-q)|<β
where 0≤ α <q, O<β≤1,1/2< ξ ≤ 1.
A systematic investigation of this new class of q-valent holomorphic functions has been presented. We have obtained results like representation formula, distortion properties, extreme points and its application.