近星映照的齐次展开式的二次项估计

数学物理学报 ›› 2010, Vol. 30 ›› Issue (6): 1699-1703.

• 论文 • 上一篇

近星映照的齐次展开式的二次项估计

常水珍¹|刘浩²

1.洛阳师范学院数学科学学院河南洛阳 471022；2.河南大学数学与信息科学学院现代数学研究所河南开封 475001

收稿日期:2008-10-20 修回日期:2010-07-15 出版日期:2010-12-25 发布日期:2010-12-25
基金资助:
国家自然科学基金(10971219)资助

The Upper Bound of Second Order Item Coefficients of Homogeneous Expansion for Close-to-starlike Mappings

CHANG Shui-Zhen¹, LIU Hao²

1.College of Mathematics |Science, |Luoyang |Normal |University, Henan Luoyang 471022；2.Contemporary Mathematics Institute, College of Mathematics and Information Science, Henan University, Henan Kaifeng 475001

Received:2008-10-20 Revised:2010-07-15 Online:2010-12-25 Published:2010-12-25
Supported by:
国家自然科学基金(10971219)资助

摘要/Abstract

摘要：

该文在Cⁿ中的单位球B_n上, 首先给出了正规化星形映照的齐次展开式的二次项系数上界的较精确的估计; 其次利用Loewner链的性质, 给出了近星映照的齐次展开式的二次项估计.

关键词: 正规化星形映照, 近星映照, 齐次展开式估计

Abstract:

In this thesis, on the unit ball B_n in Cⁿ, firstly, the better upper bound of second order item coefficients of homogeneous expansion for normalized starlike mappings is attained; Secondly, with the properties of Loewner chains, the upper bound of second order item coefficients of homogeneous expansion for close-to-starlike mappings is obtained.

Key words: Normal starlike mappings, Close-to-starlike mappings, Spirallike mappings relative to A, Estimate of homogeneous expansion

中图分类号:

32A30

常水珍, 刘浩. 近星映照的齐次展开式的二次项估计[J]. 数学物理学报, 2010, 30(6): 1699-1703.

CHANG Shui-Zhen, LIU Hao. The Upper Bound of Second Order Item Coefficients of Homogeneous Expansion for Close-to-starlike Mappings[J]. Acta mathematica scientia,Series A, 2010, 30(6): 1699-1703.

[1]	刘浩, 常水珍. 相对于A 的螺形映照的齐次展开式的二次项的上界估计[J]. 数学物理学报, 2013, 33(2): 224-229.
[2]	刘浩. 双全纯映照的一些偏微分不等式[J]. 数学物理学报, 2002, 22(2): 231-237.

近星映照的齐次展开式的二次项估计

The Upper Bound of Second Order Item Coefficients of Homogeneous Expansion for Close-to-starlike Mappings

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