Denote by the family of functions
which are harmonic, univalent and orientation preserving in the open unit disc , and assume that is normalized by . Thus, for , the functions and analytic can be expressed in the following forms:
and is then given by
For functions given by (1) and given by
we recall that the Hadamard product (or convolution) of and is defined to be
For the purpose of this paper, the authors introduce a subclass of denoted by which involves convolution and consist of all functions of the form (1) satisfying the inequality:
Also they denote , where is the subfamily of consisting of harmonic functions of the form
The authors obtain a sufficient coefficient condition for functions given by (1) to be in the class . It is shown that this coefficient condition is necessary also for functions belonging to the class .
Further, distortion results and extreme points for functions in are also obtained.