6.−Polynomial Bounds for a Subclass of Univalent Function Regarding Modified Sigmoid Function

by O. Fagbemiro1*, J.O. Hamzat2, E. Ukeje3 and A. T. Oladipo4
1 Department of Mathematics, Federal University Agriculture Abeokuta, Abeokuta, Nigeria P.M.B. 2240, Abeokuta, Nigeria.
2 Department of Mathematics, University of Lagos, Lagos, Nigeria
3 Department of Mathematics, Michael Okpara University of Agriculture UmudikeP.M.B. Umuahia, Nigeria.
4 Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria P.M.B. 4000, Ogbomoso, Nigeria.

Abstract
In this article, the authors investigated a new subclass of analytic univalent function which relate to ameliorated sigmoid function and the classical special polynomial function known as the Chebyshev polynomials by employing the concept of subordination. This investigation produced new interesting coefficient bounds. The famous Fekete-Szego inequalities were also pointed out.

Keywords: Analytic function, sigmoid function, Chebyshev polynomials, Salagean operator