相对于A的螺形映照的齐次展开式估计

The Upper Bound of Item Coefficients of Homogeneous Expansion for Spirallike Mappings Relative to A

运用k(k为自然数)阶零点的概念,给出了复Banach空间中相对于A的螺形映照f(x=0是f(x)-x的k+1阶零点)的齐次展开式的第k+1到2k项的估计结果.

In this thesis, By the conception of zero of order k, we generalize the upper bound from k ＋ 1 to 2k order item coefficients of homogeneous expansion for f, where f is spirallike relative to A（x = 0 is a zero of order k ＋1 of f（x） - x） on the unit ball in a complex Banach space.