Subclass of m-quasiconformal harmonic functions in association with Janowski starlike functions

Let's take f(z) = h (z) + which is an univalent sense-preserving harmonic functions in open unit disc D = {z : vertical bar z vertical bar ((z) over bar) = w(z)f(z) when vertical bar w(z)vertical bar < m, w(z) (sic) m(2)(b(1)-z)/m(2)-b(1)z, h(z) is an element of S*(A, B). In such case S*(A, B) is known to be the class for Janowski starlike functions. We will investigate growth theorems, distortion theorems, jacobian bounds and coefficient ineqaulities, convex combination and convolution properties for this subclass.Publisher's Versio