抛物星形映射的一个子族与Roper-Suffridge算子

首先,从几何的视角引入了一类抛物星形映射子族.其次,给出欧氏空间单位球上该映射族与α次强β型螺形映射族之间的关系,同时证明了Roper-Suffridge算子在单位球上保持该类映射族的性质.作为推论,可以得到一些熟知的结果.

A Subclass of Parabolic Starlike Mappings and the Roper-Suffridge Extension Operator

Firstly,a subclass of parabolic starlike mappings is introduced from a geometric perspective. Secondly,the relationship between this subclass of parabolic starlike mappings and strongly spirallike mappings of type β and order α on the unit ball in Euclidean space is given. It shows that the Roper-Suffridge operator preserves the property of this subclass of parabolic starlike mappings. As corollary,some well-known results can be got.