On the Growth Theorem and the Roper-Suffridge Extension Operator for a Class of Starlike Mappings in C~n

摘要

The author introduces a new subclass of starlike mappings on bounded starlike circular domains, which contains the starlike mappings of order α and the strong starlike mappings of order α as two special classes. The growth and the covering theorems of the subclass of starlike mappings are established. Next, it is proved that the new class is preserved under the following generalized Roper-Suffridge operator.