Some Properties Of Several Classes Of Spirallike Mappings

In this text,we deal with some classes of holomorphic mappings in Several Complex Variables, including several classes of mappings of type β, such as almost spirallike mappings of type β with order a, spirallike mappings of type β with order a and stongly spirallike mappings of type β with order a. We still get the fact some operators keep the properties spirallike mappings of types a is also invaiient.This text consists of three chapters.In the first chapter, we introduce some denotes and definitions used, some lemmas used in the text, and some main results deduced by the author .In the second chapter ,on the unit ball B in complex Banach space X, we get the growth and covering theorems and distortion upper bound for almost spirallike mappings of type β with order a, spirallike mappings of type β with order a and stongly spirallike mappings of type β with order a. In chapter 3,we prove the fact that Roper - Suffridge operator keep the properties spirallike mappings oftype a respectively on different domains.The main results of this text are based on the primary results and generalize some original results.by these ,our work will be more completely.