Hamzat Jamiu Olusegun

Initial Coefficients Estimates for Certain Generalized Class of Analytic Functions Involving Sigmoid Function

Hamzat Jamiu Olusegun & Olayiwola Malik Adekunle · Asian Research Journal of Mathematics · 2017

For function   of Bazilevic type, initial coefficients  for certain generalized class of analytic functions involving logistic sigmoid function are obtained. Further, the Fekete-Szego functional  is also considered for functions belonging to the said class of analytic functions....

Open access Research Article 10.9734/ARJOM/2017/33819

Hankel Determinant for Certain Subclasses of Analytic Function

Hamzat Jamiu Olusegun & Oni Abiola Ayobami · Asian Research Journal of Mathematics · 2017

Let S denote the class of analytic functions normalized and univalent in the open unit disk. U ={ Z : |Z|<1 }The prime focus of the present paper is to obtain sharp upper bounds for the functional for functions belonging to the class .

Open access Research Article 10.9734/ARJOM/2017/33817

Coefficient Bounds for Bazilevic Functions Associated with Modified Sigmoid Function

Hamzat Jamiu Olusegun · Asian Research Journal of Mathematics · 2017

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)| fol...

Open access Research Article 10.9734/ARJOM/2017/33818