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

Abstract

In this study, we construct a new family of holomorphic biunivalent 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.

Keywords

• q-analogue of noor integral operator
• fibonacci polynomials
• bi-univalent functions