A planar harmonic mapping in a simply connected domain D ⊂ C is a complex-valued function f u iv defined in D for which both u and v are real harmonic in D, that is, Δf 4fzz 0, where Δ represents the Laplacian operator. The mapping f can be written as a sum of an analytic and antianalytic functions, that is, f h g. We refer to 1 and the book of Duren 2 for many interesting results on planar har...

In this paper, we introduce some classes of univalent harmonic functions with respect to the symmetric conjugate points by means subordination, analytic parts which are reciprocal starlike (or convex) functions. Further, discuss geometric properties classes, such as integral expression, coefficient estimation, distortion theorem, Jacobian growth estimates, and covering theorem.