New subclasses of analytic and bi-univalent functions endowed with coefficient estimate problems

Inspired by the recent works of Srivastava et al. (2010), Frasin and Aouf (2011), Caglar (2013), we introduce investigate in present paper two new general subclasses class consisting normalized analytic bi-univalent functions open unit disk U. For belonging to these introduced here, obtain estimates on Taylor-Maclaurin coefficients |a_2| |a_3|. Several connections some earlier known results are also pointed out. The presented this would generalize improve those related several authors.