On a family of bi-univalent functions related to the Fibonacci numbers


Arzu Akgül




In this study, we construct a new family of holomorphic bi-univalent functions in the open unit disc by the help of $q-$analogue of Noor integral operator, principle of subordination and Fibonacci polynomials. Also we obtain coefficient bounds and Fekete Szegö inequality for functions belonging this family. We have illustrated relevant families and consequences.