  Our objective in this paper is to introduce and investigate a
newly-constructed subclass of normalized analytic and bi-univalent functions by
means of the Chebyshev polynomials of the second kind. Upper bounds for the
second and third Taylor-Maclaurin coefficients, and also Fekete-Szego
inequalities of functions belonging to this subclass are founded. Several
connections to some of the earlier known results are also pointed out.
