ON THE SHARP GROWTH,COVERING THEOREMS FOR NORMALIZED BIHOLOMORPHIC MAPPINGS IN C^n  

作　　者：刘小松 刘太顺 

机构地区：[1]School of Mathematics and Computation Science Zhanjiang Normal University,Zhanpang 524045,China [2]Department of Mathematics Huzhou Teachers Colloge,Huzhou 313000,China [3]Department of Mathematics,University of Sciences and Technology of China,Hefei 230026,China

出　　处：《Acta Mathematica Scientia》2007年第4期803-812,共10页数学物理学报（B辑英文版）

基　　金：The research was supported by the National Nat ural Science Foundation of China(10571164);Specialized Research Fund for the Doctoral Program of Higher Education(20050358052);Guangdong Natural Science Foundation(06301315);the Doctoral Foundation of Zhanjiang Normal University(Z0420)

摘　　要：In this article, a normalized biholomorphic mapping f defined on bounded starlike circular domain in Cn is considered, where z = 0 is a zero of order k ＋ 1 of f（z） - z. The sharp growth, covering theorems for almost starlike mappings of order α and starlike mappings of order α are established. Meanwhile, the construction of the above mappings on bounded starlike circular domain in Cn is also discussed, it provides the extremal mappings for the growth, covering theorems of the above mappings.In this article, a normalized biholomorphic mapping f defined on bounded starlike circular domain in Cn is considered, where z = 0 is a zero of order k ＋ 1 of f（z） - z. The sharp growth, covering theorems for almost starlike mappings of order α and starlike mappings of order α are established. Meanwhile, the construction of the above mappings on bounded starlike circular domain in Cn is also discussed, it provides the extremal mappings for the growth, covering theorems of the above mappings.

关 键 词：Zero of order k ＋ 1 normalized biholomorphic mappings almost starlike mappings of order α starlike mappings of order α GROWTH covering theorems 

分 类 号：O174.5[理学—数学]