Let jp∈ and 1jp≥, 2jn=,, be a fixed positive integer. In this paper a generalized Roper-Suffridgeextension operator 112111212()()()()(())(())ppnnjjnjFzfzfzPzfzzfzz=′′′=+,,,,Σ on Reinhardt domain 22…12{1}jnnpnnppjjzzz,,,=Ω=∈:||+||<Σ is defined. Some different conditions forjP are established under which the operator preserves an almost spirallike mapping of type β and order α and spirallike mapping of type β and order α, respectively. In particular, our results reduce to many well-known results.
