Abstract
In this study, a new class R (mu)(sigma)(x, gamma, alpha, delta, beta) of bi-univalent functions studied by means of Gegenbauer polynomials (GP) with Rabotnov functions is introduced. The coefficient of the Taylor coefficients |a(2)|and |a(3)| and Fekete-Szego problems for functions belonging to R (mu)(sigma)(x, gamma, alpha, delta, beta) have been derived as well. Furthermore, a variety of new results will appear by considering the parameters in the main results.