负系数调和单叶函数  

Harmonic Univalent Functions with Negative Coefficients

作　　者：黄盛[1] 赖新兴[2] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330027 [2]江西理工大学理学院,江西赣州341000

出　　处：《江西理工大学学报》2006年第3期62-65,共4页Journal of Jiangxi University of Science and Technology

摘　　要：单位圆盘U内单叶且保向的复值调和函数可表示为形式:f=h+g,这里h和g分别在 U内解析．我们给出函数成为α级调和凸映照的系数充分条件,此时g的首项系数b1不必为零．这些条件是充要的,当h和g都是负系数时．Complex - valued harmonic functions that are univalent and sense - preserving in the unit disk U can be written in the form f = h ＋ g^-, where h and g are analytic in U. We give sufficient conditions for these functions to map onto convex regions, when f-z（0） = b1 is not necessary zero. It is shown that these conditions are also necessary, when h and g have negative coefficients.

关 键 词：调和 保向 单叶 

分 类 号：O174.51[理学—数学]