近于准凸映照推广族的系数估计

Coe?cient bounds for the generalized class of close-to-quasiconvex mappings

本文,我们在复Banach空间单位球或Cn单位多圆柱中引入一类近于准凸映照的推广族,该族实际上是单复变中近于凸函数的子族在多复变中的推广.并且得到了该映照族在满足一定条件下齐次展开式的系数估计.本文所得结果推广了许多已知结论.

In this paper, the generalized class of close-to-quasi-convex mappings is introduced in the unit ball of complex Banach space or unit polydisk in Cn which is the extension of subclasses of close-to-convex functions in C, and we obtain estimates of homogeneous expansions for this class. These results generalize many known results.