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 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. Several other results follow as simple consequences.
Keywords: Analytic, starlike, convex, Bazilevic, sigmoid function.