Abstract

In this work, considering a subclass of analytic bi-univalent functions defined by S\u{a}l\u{a}gean differential operator, we determine estimates for the general Taylor-Maclaurin coefficients of the functions in this class. For this purpose, we use the Faber polynomial expansions. In certain cases, our estimates improve some of existing coefficient bounds.

Keywords: Bi-univalent functions; Taylor-Maclaurin series expansion; Coefficient bounds and coefficient estimates; Faber polynomials; S\u{a}l\u{a}gean differential operator.

MSC: 30C45, 30C80

Pages:  185$-$193     

Volume  67 ,  Issue  3 ,  2015