Coefficient Bounds for a Subclass of Bi-Univalent FunctionsŞ. Altinkaya, S. Yalçin (pp. 180-185)
Abstract.An analytic function f defined on the open unit disk U = fz : jzj < 1g is bi- univalent if the function f and its inverse f¡1 are univalent in U: Inspired by the recent work of Hamidi et al. , we propose to investigate the coefficient estimates for a general class of analytic and bi-univalent functions. Also, we obtain estimates on the coefficients ja2j ; ja3j and janj for functions in this class. Some earlier results are shown to be special cases of our results.
Keywords:analytic and univalent functions, bi-univalent functions, Salagean derivative.