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

该文在C^n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.

In this thesis,on the unit ball B_n in C^n,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.