Texture analysis using Horadam polynomial coefficient estimate for the class of Sakaguchi kind function

Abstract

Abstract This present work provides the initial co-efficient bounds of the function f(z) which is defined in open unit disk $$\mathbb {D}$$ D . We introduced bi-univalent class $$\mathcal {C}_{\Sigma }(\lambda , t,\nu )$$ C Σ ( λ , t , ν ) . Making use of Horadam polynomials $$h_{n}(\nu )$$ h n ( ν ) and the generating function $$\Pi (\nu ,z)$$ Π ( ν , z ) , we estimated the bounds of $$a_{2}$$ a 2 and $$a_{3}$$ a 3 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.