CERTAIN SUBCLASS OF BI-UNIVALENT FUNCTIONS RELATED TO HORADAM POLYNOMIALS ASSOCIATED WITH q-DERIVATIVE

Abstract

In this paper, by making use of q-derivative, we define a new subclass of analytic and bi-univalent functions related to Horadam polynomials. For func- tions belonging to this class, we derive coefficient inequalities and the Fekete-Szego¨ inequalities. We also provide relevant connections of our results with those consid- ered in earlier investigations