相对于A 的螺形映照的齐次展开式的二次项的上界估计

数学物理学报 ›› 2013, Vol. 33 ›› Issue (2): 224-229.

相对于A 的螺形映照的齐次展开式的二次项的上界估计

刘浩, 常水珍

河南大学 |数学与信息科学学院河南开封 475001|洛阳师范学院数学科学学院河南洛阳 471022

收稿日期:2011-06-30 修回日期:2012-08-31 出版日期:2013-04-25 发布日期:2013-04-25
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 Spirallike Mappings Relative to A

LIU Hao, CHANG Shui-Zhen

College of Mathematics and Information Sciences, Henan University, Henan Kaifeng 475001|College of Mathematics, Luoyang Normal University, Henan Luoyang 471022

Received:2011-06-30 Revised:2012-08-31 Online:2013-04-25 Published:2013-04-25
Supported by:
国家自然科学基金(10971219)资助

摘要/Abstract

摘要：

运用相对于A 的螺形映照的特点, 利用Loewner链的性质, 给出了Cⁿ中的单位球B_n上相对于A 的螺形映照的齐次展开式的二次项估计.

关键词: 正规化星形映照, 相对于A的螺形映照, 齐次展开式估计

Abstract:

In this thesis, with the properties of Loewner chains, the upper bound of second order item coefficients of homogeneous expansion for spirallike mappings relative to A was obtained via the characters of spirallike mappings relative to A on the unit ball B_n in Cⁿ.

Key words: Normal starlike mappings, Spirallike mappings relative to A, Estimation of homogeneous expansion

中图分类号:

32A30

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.

LIU Hao, CHANG Shui-Zhen. The Upper Bound of Second Order Item Coefficients of Homogeneous Expansion for Spirallike Mappings Relative to A[J]. Acta mathematica scientia,Series A, 2013, 33(2): 224-229.