Loewner chains associated with the generalized Roper–Suffridge extension operator ✩

In this paper, we introduce two classes of generalized Roper–Suffridge extension operators and prove that they can be embedded in Loewner chains. In particular, our proof shows that these two classes of operators preserve starlikeness and spirallikeness of type α on two important classes of Reinhardt domains in Cn, respectively. Finally, some other related results are given. © 2005 Elsevier Inc. All rights reserved.