  Our present investigation is motivated essentially by the fact that, in
Geometric Function Theory, one can find many interesting and fruitful usages of
a wide variety of special functions and special polynomials. The main purpose
of this article is to make use of the Horadam polynomials and the generating
function, in order to introduce three new subclasses of the bi-univalent
function class. For functions belonging to the defined classes, we then derive
coefficient inequalities and the Fekete Szego inequalities. Some interesting
observations of the results presented here are also discussed. We also provide
relevant connections of our results with those considered in earlier
investigations.
