On the coefficient bounds for a subclass of bi-univalent functions by using S?l?gean differential operators

Abstract

Making use of S?l?gean differential operator, in this paper, we introduce and investigate an interesting subclass Sh,p? (k, ?) of bi-univalent functions in the open unit disk U. Furthermore, we find estimates on the |a2| and |a3| coefficients for functions in this subclass. The results presented in this paper would generalize and improve some recent works.