The Coefficient Estimates And The Growth And Covering Theorems For Parabolic Starlike Mappings Of Order ρ

In this thesis, we study the coefcient estimates and the growth and covering theoremsfor parabolic starlike mappings of order ρ. The thesis contains three chapters.In the first chapter, we briefly introduce the development background of geometricfunction theory in several complex variables, some notations, definitions and the mainresults of the thesis.In the second chapter, we introduce the definitions of the parabolic starlike mappingsof order ρ, and discuss the coefcient estimates of the parabolic starlike mappings of orderρ on the unit ball in complex Banach space and on the unit polydisk DninCn.In the last chapter, we get the growth and covering theorems for parabolic starlikemappings of order ρ on the unit ball in complex Banach space.