Bounds on initial coefficients for a new subclass of bi-univalent functions.

In recent years, the study of bi-univalent functions have gathered momentum mainly due to the pioneering work of Srivastava et al. [19], which has actually revived the study of the coefficient problems involving bi-univalent functions. With motivation from the work of Srivastava et al. [19], in the present paper we introduce a new subclass TS [f ] of the function class S of bi-univalent functions defined in the open unit disk U = {z ? C : |z| < 1}. Further, for the functions in this subclass TS [f ] we obtain bounds on |a2|, |a3| and |a4|. [ABSTRACT FROM AUTHOR]