A possible visual image of the extended monogenous function

Themonogenous functions defined on R4 ! R4 were introduced by G.C.Moisil. Ifwe start frommonogenous functions on a quaternion, through particularization we only find the monogenity condition @w @z = 0 for a functionw = f(z) : C ! C: In this article the notion of monogenity is extended from the common complex analysis over to the quaternion functions of two variables, of the following aspect: K = x + iy + ju(x; y) + kv(x; y) = z + jw(x; y) (0.1) and we have visualized the surfaces (S) attached to this quaternion (S) r = iy + ju(x; y) + kv(x; y) (0.2) in monogenity conditions. A few surfaces attached to some elementary monogenous functions have been visualized.