Coefficient estimates for a certain subclass of analytic and bi-univalent functions

In this paper, we introduce and investigate an interesting subclass H Σ h , p of analytic and bi-univalent functions in the open unit disk U . For functions belonging to the class H Σ h , p , we obtain estimates on the first two Taylor–Maclaurin coefficients | a 2 | and | a 3 | . The results presented in this paper would generalize and improve some recent work of Srivastava et al. [H.M. Srivastava, A.K. Mishra, P. Gochhayat, Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett. 23 (2010) 1188–1192].