New classes of Bazilevic function as related to caratheodory and activation functions

Abstract

In the present investigation, we obtained initial coefficients bounds of Bazilevic univalent functions as related to sigmoid and caratheodory
functions and the Fekete-Szego coefficient functional |α₃ - ηα₂²| for certain normalized analtytic functions defined in the open unit disk. With various choices of our parameter, new and existing results were obtained.