数学季刊 ›› 2005, Vol. 20 ›› Issue (4): 331-337.

• •    下一篇

α次殆β型螺形映照的增长与掩盖定理

  

  1. 1. College of Mathematics and Information Science, Henan University, Kaifeng 475001, China; 2.Department of Mathematics, Anyang Normal College, Anyang 455000, China
  • 收稿日期:2004-08-05 出版日期:2005-12-30 发布日期:2024-01-02
  • 作者简介:LIU Hao(1964-),male,native of Pingyu,Henan,a professor of Henan University,Ph.D.,engages in several complex variables.
  • 基金资助:
     Supported by the National Natural Science Foundation of China(10271117);

On Growth and Covering Theorem for Almost Spiallike Mapping of Type β with Order α

  1. 1. College of Mathematics and Information Science, Henan University, Kaifeng 475001, China; 2.Department of Mathematics, Anyang Normal College, Anyang 455000, China
  • Received:2004-08-05 Online:2005-12-30 Published:2024-01-02
  • About author:LIU Hao(1964-),male,native of Pingyu,Henan,a professor of Henan University,Ph.D.,engages in several complex variables.
  • Supported by:
     Supported by the National Natural Science Foundation of China(10271117);

摘要: Let f(x) be an almost spirallike mapping of type β with order α on unit ball B of complex Banach space X. In this paper, we consider the growth and covering theorems for f(x), we also prove that the estimation is precise when β=0 and still give growth upper bound and distortion upper bound for subordinate mapping. This result include some results known.

关键词: spirallike mapping, growth and covering theorem, subordinate mapping

Abstract: Let f(x) be an almost spirallike mapping of type β with order α on unit ball B of complex Banach space X. In this paper, we consider the growth and covering theorems for f(x), we also prove that the estimation is precise when β=0 and still give growth upper bound and distortion upper bound for subordinate mapping. This result include some results known.

Key words: spirallike mapping, growth and covering theorem, subordinate mapping

中图分类号: