Spirallike Mappings On Bounded Starlike Circular Domains In C~n

As we all know , starlike mappings and spiral-like mappings are very important topicswhich have mainly been studied in geometric function theory of several complex variables .Moreover , the growth and covering theorems of biholomorphic mappings play an importantrole in geometric function theory of several complex variables . In this article , we mainlystudy a kind of spiral-like mappings on bounded starlike circular domains in Cn , and give theparametric representation of this kind of spiral-like mappings . As a direct application , thegrowth and covering theorems are set up . Furthermore , the characters of starlike mappingsand a kind of spiral-like mappings are obtained .Bounded starlike circular domain is a kind of general domain , including complex ellipseball and RI , RII , RIII , RIV (the classical domains) . Therefore , the main results of this thesisare based on the known results , but extend and improve them . So we have a deep realizationabout bounded starlike circular domain , starlike mappings and spiral-like mappings .