Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation
Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation
复制标题
DOI：
10.1016/j.jmaa.2005.08.002
复制
发表时间：
2006-05
影响因子：
1.3
通讯作者：
H. Hamada;Tatsuhiro Honda;G. Kohr
中科院分区：
文献类型：
--
作者：
H. Hamada;Tatsuhiro Honda;G. Kohr
令 B 为 Cn 中相对于任意范数的单位球，并令 f(z,t) 为 g-Loewner 链，使得 e−tf(z,t)−z 在 z=0 处具有 k+1 阶零。在本文中，我们获得了 f(⋅,0) 的增长和覆盖定理。此外，我们考虑 Sg,k+10(B) 中的系数界限和映射示例。
Let B be the unit ball in Cnwith respect to an arbitrary norm and let f(z,t) be a g-Loewner chain such that e−tf(z,t)−z has a zero of order k+1 at z=0. In this paper, we obtain growth and covering theorems for f(⋅,0). Moreover, we consider coefficient bounds and examples of mappings in Sg,k+10(B).