convolution operator

In this paper, we introduce and investigate two new subclasses of the functions class Σ of bi-univalent functions defined in the open unit disk, which are associated with the Aghalary-Ebadian-Wang operator. We estimate the coefficients |a2| and |a3| for functions in these new subclasses. Several consequences of the result are also pointed out.

In present paper a certain convolution operator of analytic functions is defined. Moreover, subordination- and superordination- preserving properties for a class of analytic operators defined on the space of normalized analytic functions in the open unit disk is obtained. We also apply this to obtain sandwich results and generalizations of some known results.