Article ID Journal Published Year Pages File Type
4664458 Acta Mathematica Scientia 2007 10 Pages PDF
Abstract

In this article, a normalized biholomorphic mapping f defined on bounded starlike circular domain in n 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 n is also discussed, it provides the extremal mappings for the growth, covering theorems of the above mappings.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)