| α型螺形映照精细的增长、掩盖定理及精细的展开式系数估计 |
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| 引用本文： | 刘小松,刘太顺.α型螺形映照精细的增长、掩盖定理及精细的展开式系数估计[J].数学学报,2006,49(3):567-576. |
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| 作者姓名： | 刘小松 刘太顺 |
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| 作者单位： | [1]中国科学技术大学数学系,合肥230026 [2]湛江师范学院数学与计算科学学院,湛江524048 |
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| 基金项目： | 国家重点基础研究发展规划项目;广东湛江师范学院博士专项研究资助项目 |
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| 摘 要： | 本文考虑一般复Banach空间中单位球上和Cn中单位多圆柱上的正规化双全纯α(-π/2<α<π/2)型螺形映照f(其中x=0是f(x)-x的k+1阶零点),研究了它的构造,并得到其精细的增长、掩盖定理以及齐次展开式的精细估计．所得的结果包含了许多已知的结论．
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| 关 键 词： | k+1阶零点 精细的增长、掩盖定理 齐次展开式的精细估计 |
| 文章编号： | 0583-1431（2006）03-0567-10 |
| 收稿时间： | 2004-07-02 |
| 修稿时间： | 2004-07-022005-03-20 |
The Refining Growth, Covering Theorems and the Refining Estimation of Expansion Coefficients for Spirallike Mappings of Type a |
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| Xiao Song LIU.The Refining Growth, Covering Theorems and the Refining Estimation of Expansion Coefficients for Spirallike Mappings of Type a[J].Acta Mathematica Sinica,2006,49(3):567-576. |
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| Authors: | Xiao Song LIU |
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| Institution: | Department ofMathematics, University of Science and Technology of China, Hefel 230026, P. R. China School of Mathematics and Computation Science, Zhanjiang Normal University Zhanjiang 524048, P. R. China TaiShun LIU Department of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. China |
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| Abstract: | In this paper, we consider a normalized biholomorphic spirallike mapping of type α(-π/2 <α<π/2) f defined on the unit ball in a complex Banach space and the unit polydisk of Cn, where x=0 is a zero of order k+1 of f(x)-x, we investigate its construction, and the refining growth and covering theorems for f(x) and the refining estimation of the homogeneous expansion for f(x) is obtained. Our result includes many known conclusions. |
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| Keywords: | zero of order k refining growth and covering theorems refining estimation of homogeneous expansion |
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