一类螺旋映射的增长与掩盖定理

数学季刊 ›› 2006, Vol. 21 ›› Issue (4): 488-492.

一类螺旋映射的增长与掩盖定理

1. Department of Mathematics,Henan University2. Department of Mathematics,Anyang Institute of Technology 3. Department of Mathematics,Huanghuai College

收稿日期:2005-06-16 出版日期:2006-12-30 发布日期:2023-11-17
作者简介: LIU Hao(1964-),male,native of Pingyu,Henan,Ph.D.,a professor of Henan University,engages in seneral complex variables.
基金资助:
Supported by the National Natural Science Foundation of China(10571044)；

On Growth and Covering Theorem for a Kind of Spiral-like Mappings

1. Department of Mathematics,Henan University2. Department of Mathematics,Anyang Institute of Technology 3. Department of Mathematics,Huanghuai College

Received:2005-06-16 Online:2006-12-30 Published:2023-11-17
About author: LIU Hao(1964-),male,native of Pingyu,Henan,Ph.D.,a professor of Henan University,engages in seneral complex variables.
Supported by:
Supported by the National Natural Science Foundation of China(10571044)；

摘要/Abstract

摘要： In this paper,we deduce growth and covering theorem for f(x) by the other means,where f(x) is strongly spiral-like mapping of typeβwith orderαdefined on Unit Ball B of complex Banach space,and still give growth upper bound and distortion upper bound for subordinate mapping.

关键词: spiral-like mapping, growth and covering theorem, subordinate mapping

Abstract: In this paper,we deduce growth and covering theorem for f(x) by the other means,where f(x) is strongly spiral-like mapping of typeβwith orderαdefined on Unit Ball B of complex Banach space,and still give growth upper bound and distortion upper bound for subordinate mapping.

Key words: spiral-like mapping, growth and covering theorem, subordinate mapping

中图分类号:

O174.51

刘浩, 崔宏宇, 刘爱超. 一类螺旋映射的增长与掩盖定理[J]. 数学季刊, 2006, 21(4): 488-492.

LIU Hao, CUI Hong-yu, LIU Ai-chao. On Growth and Covering Theorem for a Kind of Spiral-like Mappings [J]. Chinese Quarterly Journal of Mathematics, 2006, 21(4): 488-492.

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[2]	刘杰明, 王志军. α次β型强螺旋映射的增长与掩盖定理[J]. 数学季刊, 2006, 21(1): 138-142.
[3]	刘浩, 刘爱超. α次殆β型螺形映照的增长与掩盖定理[J]. 数学季刊, 2005, 20(4): 331-337.