Roper-Suffridge算子和ε-星形映照  

Roper-Suffridge Operators andε-Starlike Mappings

作　　者：陈铭新 林雄 王建飞 CHEN Mingxin;LIN Xiong;WANG Jianfei(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China)

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《华侨大学学报(自然科学版)》2025年第2期237-240,共4页Journal of Huaqiao University(Natural Science)

基　　金：国家自然科学基金资助项目(12071161)。

摘　　要：应用正定二次型构造比复单位球B^(n)更广泛的区域,并在该域上利用双曲度量证明了Roper-Suffridge算子保凸性、保星形和保ε-星形性。该结果丰富了已有Roper-Suffridge算子的研究,给出了推广Roper-Suffridge算子的不一样思路。The positive definite quadratic form is utilized to construct a domain that is wider than the complex unit ball B^(n),and preserved the convexity,starlikeness,andε-starlikeness by Roper-Suffridge operators are proved through the application of hyperbolic metric.This result enriches the existing research on Roper-Suffridge operators and provides a different approach to extending Roper-Suffridge operators.

关 键 词：双全纯映照 ROPER-SUFFRIDGE算子 ε-星形映照 双曲度量 正定二次型 

分 类 号：O174.5[理学—数学]