Abstract
Making use of Horadam polynomials, we propose a special family of regular functions of the type gz=z+ n-ary sumation(j=2)(& INFIN;)d(j)z(j) which are bi-univalent (or bi-schlicht) in the disc z & ISIN;DOUBLE-STRUCK CAPITAL C:z < 1. We find estimates on the coefficients d(2) and d(3) and the functional of Fekete-Szego for functions in this subfamily. Relevant connections to existing results and new observations of the main result are also presented.