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单叶解析函数的一类子族的增长、掩盖定理 被引量:1
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作者 鲁三芽 龙芳 《南昌工程学院学报》 CAS 2010年第4期1-7,共7页
在复平面单位圆盘内引入单叶解析函数的一类子族Dβα函数族,利用从属关系研究了当f(z)-z具有k+1阶零点时f(z)的增长、掩盖定理,并对f(z)的系数an(n=k+1,…,2k)进行了估计,其中当n=k+1时估计是精确的.
关键词 α次殆星函数 Dβα函数族 增长、掩盖定理 系数估计
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关于单叶解析函数一类子族的增长、掩盖定理
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作者 龙芳 鲁三芽 《南昌航空大学学报(自然科学版)》 CAS 2013年第3期57-60,共4页
本文研究了单叶解析函数的一类子族βα族,令f(z)∈βα且z=0是f(z)-z的k+1阶零点,我们得到了f(z)的较为精细的增长、掩盖定理,所得结论推广了某些已知结果。
关键词 α次星形函数 Β型螺形函数 Sβα函数族 增长、掩盖定理
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The Growth and 1/4-Theorems for Spirallik Maps in l^P, B^P and Inner Product Space
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作者 刘浩 徐兴辰 《Chinese Quarterly Journal of Mathematics》 CSCD 1992年第3期48-52,共5页
The paper is made of two parts.In first part,We give the growth and 1/4-theorems for spiral like maps on the unit ball in l^p.Particularly,corresponding results were given in B^p.In the second part,we give the growth ... The paper is made of two parts.In first part,We give the growth and 1/4-theorems for spiral like maps on the unit ball in l^p.Particularly,corresponding results were given in B^p.In the second part,we give the growth and 1/4-theorems for spirallike maps in an inner product space.We prove that the results is best. 展开更多
关键词 biholomorphic mapping spirallike mapping frechet derivative growth thorem kebe 1/4-thorem
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On Growth and Covering Theorem for Spiallike Mapping of Type β with Order α 被引量:1
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作者 LIU Ai-chao CUI Zhi-hui LIU Hao 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第4期548-553,共6页
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.... 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. 展开更多
关键词 zero of order k+1 spiallike mapping growth and covering theorem subordinate mapping
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