The Generalized Roper-Suffridge Extension Operator on the Reinhardt Domain

Abstract

Letestablished 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.Keywords: Roper-Suffridge extension operator, Reinhardt Domain, Almost spirallike mapping of type β and order α , Spirallike mapping of type β and order α , Minkowski functional.