华侨大学学报（自然科学版）2016，Vol.37Issue(3)：375-379,5.DOI:10.11830/ISSN.1000-5013.2016.03.0375
双调和映照的单叶性与线性连结性
Univalence and Linear Connetivity of Biharmonic Mappings
摘要
Abstract
Suppose that F(z)=|z|2 g(z)+h(z)is a biharmonic mapping on the unit disk D= {z||z|<1},and 0<c≤||hz (z)|-|hz (z)||,|gz (z)|+|gz (z)|≤Λ,z∈D,we consider the relation between h(z)and F(z)for their univalence and linear connetivity of h(D)and F(D)under some conditions,we establish that if h(z)is univalent and h(D)is linear connected domain,so are F(z)and F(D),and vice versa.关键词
双调和映照/凸映照/线性连结性/单叶性Key words
biharmonic mapping/covex mapping/linear connectivity/univalence分类
数理科学引用本文复制引用
黄心中,占龙俊..双调和映照的单叶性与线性连结性[J].华侨大学学报（自然科学版）,2016,37(3):375-379,5.基金项目
国家自然科学基金资助项目（11471128）；华侨大学中青年教师科研提升资助计划 （）
