C^n中单位多圆柱上一类强星形映射齐次展开式第四项的精确估计  

The Sharp Estimation of the Fourth Homogeneous Expansion for a class of Strongly Starlike Mappings on the Unit Polydisk in C^n

作　　者：吴玲玉 刘小松 

机构地区：[1]岭南师范学院数学与计算科学学院,广东湛江524048

出　　处：《岭南师范学院学报》2015年第3期24-29,共6页Journal of Lingnan Normal University

摘　　要：本文主要在Cn中单位多圆柱上建立一类强星形映射齐次展开式第四项的精确估计,所得结果揭示多复变数中关于一类强星形映射齐次展开式第四项的Bieberbach猜想成立.从而深化了多复变数已有结果.The sharp estimation of the fourth homogeneous expansion for a class of strongly starlike mappings defined on the unit polydisk is mainly established in this paper.Result indicates that the Bieberbach conjecture concerning the fourth homogeneous expansion for strongly starlike mappings in several complex variables with the restricted condition holds,and it deepens the known results in several complex variables.

关 键 词：单位多圆柱 强星形映射 齐次展开式第四项 

分 类 号：O174.56[理学—数学]