Certain subclasses of bi-univalent functions associated with Komatu operator

Document Type : Research Article

Authors

1 Assistant Professor, Department of Mathematics, University of Bonab

2 Associate Professor, Department of Mathematics, University of Bonab

Abstract

In the present paper, we introduce and investigate new subclasses of the function class Sigma of bi-univalent functions defined on the open unit disk U, which are associated with the Komatu operator, that is, a generalization of many familiar linear operators . Furthermore, we find estimates on the coefficients |a_2| and |a_3| for functions in these new subclasses. Several new consequences of the results are also pointed out.

Keywords