Asian Research Journal of Mathematics

Coefficient Bounds for Bazilevic Functions Associated with Modified Sigmoid Function

Hamzat Jamiu Olusegun *

Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, P.M.B. 4000, Ogbomoso, Nigeria.

*Author to whom correspondence should be addressed.

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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.

Keywords: Analytic function, univalent function, Bazilevic function, sigmoid function.

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