α次殆β型螺形映照齐次展开式的精细估计  

Sharp Estimates of Homogeneous Expansion of almost Spirallike Mappings of Type β and Order α in B^n

作　　者：崔艳艳[1] 王朝君[1] 朱思峰[1] 

机构地区：[1]周口师范学院数学与统计学院,河南周口466001

出　　处：《数学的实践与认识》2014年第17期288-291,共4页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11271359;U1204618);河南省教育厅科学技术研究重点项目(14B110015;14B110016);河南省科技厅科技发展计划项目(102400450003)

摘　　要：从Loewner链的角度讨论C^n中单位球B^n上α次殆β型螺形映照齐次展开式的相关项的上界,并作为特殊情况得出β型螺形映照、星形映照和α次殆星形映照齐次展开式的相关项的上界估计,推广了螺形映照及星形映照齐次展开式的二次项系数的上界估计.The upper bounds of some items of homogeneous expansion for almost spirallike mappings of type β and order α on the unit ball in is studied from the point of view of Loewner chains, and as the special case, the upper bounds of some items of homogeneous expansion for spirallike mappings of type β, starlike mappings and almost starlike mappings of order a is obtained. The results extend the upper bounds of the second item of homogeneous expansion for spirallike mappings of type β and starlike mappings.

关 键 词：α次殆β型螺形映照 Loewner链 齐次展开式 

分 类 号：O174.56[理学—数学]