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

Abstract

In this paper, we introduce and investigate an interesting subclass N?h,p (?, ?) of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class N?h,p (?, ?), we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|. The results presented in this paper would generalize and improve some recent works of ?a?lar et al. [3], Xu et al. [10], and other authors.