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Research Article Open access CC BY 4.0

Coefficient Bounds for Bazilevic Functions Associated with Modified Sigmoid Function

Hamzat Jamiu Olusegun

Asian Research Journal of Mathematics · pp. 1–10 · Published 18 Jun 2017

10.9734/ARJOM/2017/33818

Abstract

The focus of the present paper is to obtain the sharp upper bounds of a2(α) and a3(α) for functions belonging to the Bazilevic class B(α,n,γ,φ) associated with modified sigmoid function. The connection of these bounds to the celebrated Fekete-Szego functional |a3(α)- μa22(α)| follows as simple consequence.

Analytic function univalent function Bazilevic function sigmoid function.

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