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

Hamzat Jamiu Olusegun *

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

Olayiwola Malik Adekunle

The Oke-Ogun Polytechnic, Saki, Oyo State, Nigeria.

*Author to whom correspondence should be addressed.


Abstract

For function Capture26.JPG  of Bazilevic type, initial coefficients Capture113.JPG for certain generalized class of analytic functions involving logistic sigmoid function are obtained. Further, the Fekete-Szego functional Capture27.JPG is also considered for functions belonging to the said class of analytic functions. Several other results follow as simple consequences.

Keywords: Analytic, starlike, convex, Bazilevic, sigmoid function.


How to Cite

Olusegun, Hamzat Jamiu, and Olayiwola Malik Adekunle. 2017. “Initial Coefficients Estimates for Certain Generalized Class of Analytic Functions Involving Sigmoid Function”. Asian Research Journal of Mathematics 5 (3):1-11. https://doi.org/10.9734/ARJOM/2017/33819.

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