In the present paper, a subclass of analytic and biunivalent functions by means Gegenbauer polynomials is introduced. Certain coefficients bound for belonging to this are obtained. Furthermore, Fekete-Szegö problem solved. A number known or new results shown follow upon specializing parameters involved in our main results.

Three subclasses of analytic and bi-univalent functions are introduced through the use q?Gegenbauer polynomials, which a generalization Gegenbauer polynomials. For falling within these subclasses, coefficient bounds a2 a3 as well Fekete–Szegö inequalities derived. Specializing parameters used in our main results leads to number new results.