强β型螺形映照的增长和掩盖定理
GROWTH AND COVERING THEOREMS FOR STRONGLY SPIRALLIKE MAPPINGS OF TYPE fl

本文研究了复Banach空间单位球上的强β型螺形映照.利用强β型螺形映照的定义及其几何特征,获得了复Banach空间单位球上强β型螺形映照的增长和掩盖定理,并结合k阶零点得到强β型螺形映照相应的增长和掩盖定理,推广了螺型映照的相应结论.
In this paper, we study strongly spirallike mappings of type β on the unit ball in complex Banach spaces. By using the definition and the geometrical characteristic of strongly spirallike mappings of type β, the growth and covering theorems for the above mappings are obtained. Combining zero of order k of strongly spirallike mappings of type β, the corresponding growth and covering theorems are also obtained. The results extend the corresponding results of spirallike mappings