将Roper-Suffridge算子在Cn中单位球Bn上加以推广,讨论了α次强β型螺形映照在推广后的Roper-Suffridge算子下的不变性.从定义出发,利用双全纯映照的增长定理证明了推广后的Roper-Suffridge算子在一定条件下保持α次强β型螺形性.
Generalizing the Roper-Suffridge extension operators on the unit ball Bn in Cn and the invarity of strong spirallike mappingns of type βand order a under the generalized Roper-Suffridge operators is discussed. From the definition and the distortion theorem of biholomorphic mappings,it is proved that the generallized operators keep strong spirallikeness of typeβ and order a under some conditions.