Jafari, Mehdi2017-01-052017-01-052016Jafari, M. (2016). The algebraic structure of dual semi-quaternions. Journal of Selçuk University Natural and Applied Science, 5 (3), 15-24.2147-3781https://hdl.handle.net/20.500.12395/3713http://www.josunas.org/login/index.php/josunas/article/view/596We introduce the dual semi-quaternions algebra, Hds, and study some fundamental algebraic properties of them. We show that the set of unit dual semi-quaternions is a subgroup of Hds. The polar representation of dual semi-quaternions are given, and then by means of the De-Moivre's theorem, any powers of these quaternions are obtained.eninfo:eu-repo/semantics/openAccessTrigonometric formDual semi-quaternionDe-Moiver’s theormTrigonometrik formÇift yarı kuaterniyonDe-Moivre teoremiArticle