The Generalized Roper-Suffridge Extension Operator on the Reinhardt Domain
Samira Rahrovi, Hossein Piri · Journal of Mathematics and System Science · 2016
p ≥ , 2 j n = , , be a fixed positive integer.In this paper a generalized Roper-Suffridge extension operator 1 1 2 ∑ is defined.Some different conditions for j P 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.