A CERTAIN CLASS OF (J,K)- SYMMETRIC FUNCTION INVOLVING SIGMOID FUNCTION DEFINED BY USING SUBORDINATION PRINCIPLE

In this article, the authors investigated the the interplay that exist between (J,K)- symmetric function and the well known starlike function which is one of the sub-classes of univalent function. The (J,K)- symmetric function in simple term, means a function that defines a graph in such that, the sum of the function values in the closed neighbourhood of every vertex equals k and the function values are at most  J. Its application is seen in graph theory. The method used in this investigation was the subordination principle that involved the sigmoid function which is equipped with some distinct properties such as it outputs the set of real number between 0 and 1, this is just one of its interesting features. The study produced new coefficient estimates and its connection with Fekete-Szego inequalities were found.