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On Growth and Covering Theorem for Spiallike Mapping of Type β with Order α
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关 键 词:a次卢型螺形映照  增长定理  掩盖定理  函数

On Growth and Covering Theorem for Spiallike Mapping of Type β with Order α
Authors:LIU Ai-chao  CUI Zhi-hui  LIU Hao
Institution:[1]Department of Mathematics, Huanghuai College, Zhumadian 463000, China [2]Department of Mathematicas and Information Science, Zhengzhou Institute of Light Industry, Zhengzhou 450002, China [3]College of Mathematics and Information Science, Henan University,Kaifeng 475001,China
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.
Keywords:g zero of order k+1:spiallike mapping  growth and covering theorem  subordinate mapping
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