| α次β型螺形映照的增长与掩盖定理 |
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| 引用本文： | 刘爱超,崔志会,刘浩.α次β型螺形映照的增长与掩盖定理[J].数学季刊,2008,23(4). |
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| 作者姓名： | 刘爱超 崔志会 刘浩 |
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| 作者单位： | Department;Mathematics;Huanghuai;College;Zhumadian;463000;China;Mathematicas;Information;Science;Zhengzhou;Institute;Light;Industry;450002;Henan;University;Kaifeng;475001; |
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| 基金项目： | Supported by the National Natural Science Foundation of china(10571044) |
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| 摘 要： | In this paper,we consider growth and covering theorem for f(x),where f(x) is spiallike mapping of typeβwith orderαdefined on unit ball B of complex Banach space, and x=0 is zero of order k+1 for f(x)-x.We also dicate that the estimation is precise whenβ=0 and still give growth upper bound and distortion upper hound for subordinate mapping.This result include some results known.
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| 关 键 词： | 螺形映照 掩盖定理 增长 |
On Growth and Covering Theorem for Spiallike Mapping of Type β with Order α |
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| LIU Ai-chao,CUI Zhi-hui,LIU Hao.On Growth and Covering Theorem for Spiallike Mapping of Type β with Order α[J].Chinese Quarterly Journal of Mathematics,2008,23(4). |
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| Authors: | LIU Ai-chao CUI Zhi-hui LIU Hao |
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| Institution: | 1.Department of Mathematics;Huanghuai College;Zhumadian 463000;China;2.Department of Mathematicas and Information Science;Zhengzhou Institute of Light Industry;Zhengzhou 450002;3.College of Mathematics and Information Science;Henan University;Kaifeng 475001;China |
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| Abstract: | In this paper,we consider growth and covering theorem for f(x),where f(x)is spiallike mapping of type β with order α defined on unit ball B of complex Banach space,and x=0 is zero of order k+1 for f(x)-x.We also dicate 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. |
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| Keywords: | zero of order k+1 spiallike mapping growth and covering theorem subordinate mapping |
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