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

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.