中北大学学报（自然科学版）2017，Vol.38Issue(3)：273-276,281,5.DOI:10.3969/j.issn.1673-3193.2017.03.005
Reinhardt域上的双全纯映照与Roper-Suffridge算子
Biholomorphic Mappings on Reinhardt Domains and Generalized Roper-Suffridge Operators
摘要
Abstract
The generalized Roper-Suffridge operators' preserving the properties of subclasses of biholomorphic mappings were discussed.With the maximum modulus principle and the definitions for holomorphic functions, the generalized operators were proved to preserve the properties of S*Ω(β,A,B), strong and almost spirallike mappings of type β and order α on Ωn,p2,…,pn.And some generalized operators were proved to keep respectively S*Ω(A,B), starlikeness of order α, strong starlikeness of order α, strong and almost starlikeness of order α, strong spirallikeness of type β on the corresponding domains.关键词
螺形映照/星形映照/Roper-Suffridge算子Key words
spirallike mappings/starlike mappings/Roper-Suffridge operator分类
数理科学引用本文复制引用
王朝君,崔艳艳,刘浩,朱思峰..Reinhardt域上的双全纯映照与Roper-Suffridge算子[J].中北大学学报（自然科学版）,2017,38(3):273-276,281,5.基金项目
国家自然科学基金资助项目(11271359, U1204618) （11271359, U1204618）
河南省教育厅科学技术研究重点资助项目(14B110016) （14B110016）
河南省科技厅科技发展计划资助项目(102400450003) （102400450003）
