Volume 37 • Number 3 • 2014   • Bi-Univalent Functions with Positive Real Part Derivatives Jay M. Jahangiri, Samaneh G. Hamidi and Suzeini Abd. Halim Abstract. We consider analytic bi-univalent functions whose derivatives have positive real part on the unit disk. Using the Faber polynomial expansions, we obtain upper bounds for the coefficients of such functions. In certain cases, our estimates improve some of those existing coefficient bounds. 2010 Mathematics Subject Classification:30C45, 30C50 Full text: PDF