A certain subclass of bi-univalent analytic functions introduced by means of the $q$-analogue of Noor integral operator and Horadam polynomials

Abstract

In the present study, by using the Horadam Polnomials and $q-$analogue of Noor integral oprerator, we target to construct an interesting connection between the geometric function theory and that of special functions. Also, by defining a new class of bi-univalent analytic functions, we investigate coefficient estimates and famous Fekete-Szegö inequality for functions belonging to this interesting class.