  Let H_n be the Siegel upper half space and let F and G be automorphic forms
on H_n of weights k and l, respectively. We give explicit examples of
differential operators D acting on functions on H_n x H_n such that the
restriction of D(F(Z_1) G(Z_2)) to Z = Z_1 = Z_2 is again an automorphic form
of weight k+l+v on H_n. Since the elliptic case, i.e. n=1, has already been
studied some time ago by R. Rankin and H. Cohen we call such differential
operators Rankin-Cohen type operators. We also discuss a generalisation of
Rankin-Cohen type operators to vector valued differential operators.
