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

## DOI:

https://doi.org/10.60787/jnamp-v66-308## Keywords:

Univalent function, (J,K)-Symmetric function, Starlike function, Sigmoid function, Subordintion## Abstract

*In this **article**,** the authors** i**nvestigated** 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 w**ere** found.** *

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*The Journals of the Nigerian Association of Mathematical Physics*,

*66*, 39-46. https://doi.org/10.60787/jnamp-v66-308