抛物星形映射的一个子族与Roper－Suffridge算子

摘要

Firstly,a subclass of parabolic starlike mappings is introduced from a geometric perspective.Sec-ondly,the relationship between this subclass of parabolic starlike mappings and strongly spirallike mappings of type βand orderαon the unit ball in Euclidean space is given.It shows that the Roper-Suffridge operator pre-serves the property of this subclass of parabolic starlike mappings.As corollary,some well-known results can be got.%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。