Two Roper-suffridge Operators On The Subclass Of Holomorphic Mappings

The Roper-Sufridge operator plays an important role in constructing the biholomor-phic mappings of several complex variables from the univalent functions of one complexvariable. In this paper, we mainly study some properties of the two classes of Roper-Sufridge operator for holomorphic mappings on diferent domains. The whole thesiscontains three chapters.In the first chapter, we briefly introduce the development background of the geometricfunction theory in several complex variables, some notations, definitions, and the mainresults of this article.The main conclusions of this paper are based on the known results, but more deeplyand broadly, which give us a further awareness and comprehension about the Roper-Sufridge operator.