Abstract
This present work provides the initial co-efficient bounds of the function f(z) which is defined in open unit disk [Formula: see text]. We introduced bi-univalent class [Formula: see text]. Making use of Horadam polynomials [Formula: see text] and the generating function [Formula: see text], we estimated the bounds of [Formula: see text] and [Formula: see text] for the given function to be in the defined class. Moreover Fekete-Szego inequalities are calculated. In addition to all the results obtained mathematically, we provide application for Horadam polynomial in computer vision.