用Salagean算子定义的缺系数的单叶调和函数类(英文)  

A CLASS OF LACK COEFFICIENT UNIVALENT HARMONIC FUNCTIONS DEFINED BY THE GENERALIZED SALAGEAN OPERATOR

作　　者：李书海[1] 

机构地区：[1]赤峰学院数学系,内蒙古赤峰024000

出　　处：《数学杂志》2009年第6期715-724,共10页Journal of Mathematics

基　　金：Supported by the Natural Science Foundation of Inner Mongolia (2009MS0113);Higher School Research Foundation of Inner Mongolia (NJzy08150)

摘　　要：本文研究了用Salagean算子定义的缺系数单叶调和函数类. 利用从属关系和算子理论得到类中函数的系数估计、极值点、偏差定理、卷积性质、凸性组合与凸半径,推广了已有的一些结果.We study a new class of lack coefficient harmonic functions defined by the generalized Salagean operator. By using differential subordination and combine operator theory, we obtain coefficient conditions, extreme points, distortion bounds, convolution, convex combination and radius of convex for such class of harmonic univalent functions, which generalize some known results.

关 键 词：叶调和函数 SALAGEAN算子 极值点 

分 类 号：O174.51[理学—数学]