强α型螺形映照的偏差上界估计  

The Distortion Upper Bounds for Strongly Spirallike Mappings of Type α

作　　者：崔艳艳[1] 王朝君[1] 刘浩[2] 刘爱超[3] 

机构地区：[1]周口师范学院数学与统计学院 [2]河南大学数学与信息科学学院 [3]黄淮学院数学科学系

出　　处：《数学的实践与认识》2015年第13期258-262,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11271359;U1204618);河南省教育厅科学技术研究重点项目(14B110015;14B110016);河南省科技厅科技发展计划项目(102400450003)

摘　　要：利用强α型螺形映照的增长定理及推广的RDper-Suffridge算子的性质,讨论有界平衡域上强α型螺形映照的偏差上界,并作为特殊情况得到C^n中单位球B^n上强α型螺形映照的偏差上界估计以及强星形映照的偏差上界估计.所得结论丰富了对正规化双全纯映照的偏差的研究.By the growth results for strongly spirallike mappings of type α and the property of the generalized Roper-Suffridge operators, we obtain the distortion upper bounds for strongly spirallike mappings of type α on bounded and balanced domains. As the special cases, the corresponding distortion results on B^n in C^n and the distortion upper bounds for strongly starlike mappings are also obtained. The conclusion enrich the research of distortion results for normalized biholomorphic mappings.

关 键 词：强α型螺形映照 增长定理 偏差定理 

分 类 号：O174.5[理学—数学]