Planar harmonic mappings in a family of functions convex in one direction

Let D := {z ? C : |z| < 1} be the open unit disk, and h 1 two analytic functions in D. Suppose that f = + ?g is a harmonic mapping with usual normalization h(0) 0 g(0) h'(0) 1. In this paper, we consider mappings by restricting its part to family of convex one direction and, particular, starlike. Some sharp optimal estimates for coefficient bounds, growth, covering area bounds are investigated class under consideration. Also, obtain radii fully convexity, starlikeness, uniformly starlikeness belonging those family.