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In this present study, we introduce a comprehensive class of analytic and bi-univalent functions defined by Sǎlǎgean operator, and also obtain initial Maclaurin coefficient estimates by using the Tschebyscheff polynomials for this subclass. Furhermore, we solve the Fekete-Szegö problem for functions belonging to this subclass. 2010 Mathematics Subject Classification: 30C45.

acta universitatis apulensis. mathematics-informatics

ESTIMATE FOR INITIAL TSCHEBYSCHEFF POLYNOMIALS COEFFICIENTS ON A CERTAIN SUBCLASS OF BI-UNIVALENT FUNCTIONS DEFINED BY SALˇ AGEAN DIFFERENTIAL ˇ OPERATOR