安徽大学学报（自然科学版）2026，Vol.50Issue(3)：7-15,9.DOI:10.3969/j.issn.1000-2162.2026.03.002
对偶分裂半四元数及其表示矩阵的棣莫弗定理
De Moivre's theorem of dual split semi-quaternions and its representation matrices
摘要
Abstract
In this paper,relying on the concept of dual split semi-quaternions,firstly,based on the different polar representations of dual split semi-quaternions,the De Moivre's theorem was obtained in three cases,respectively.Secondly,the representations matrices of dual split semi-quaternions were given.The studies of dual split semi-quaternions were transformed into the study of its representation matrices,and the De Moivre's theorems for the representation matrices of dual split semi-quaternions were obtained in three cases,the Euler's formula was also extended.Finally,some examples were given to verify the correctness and validity of the conclusions.关键词
对偶分裂半四元数/表示矩阵/棣莫弗定理/极表示Key words
dual split semi-quaternions/representation matrices/De Moivre's theorem/polar representations分类
数理科学引用本文复制引用
孔祥强..对偶分裂半四元数及其表示矩阵的棣莫弗定理[J].安徽大学学报（自然科学版）,2026,50(3):7-15,9.基金项目
山东省自然科学基金资助项目(ZR201709250116) （ZR201709250116）
菏泽学院教学改革项目(JG202316) （JG202316）
菏泽市社会科学规划课题(2025-ZZ-56) （2025-ZZ-56）
