Dual Quaternion Functions and Its Applications

[摘要] A dual quaternion is associated with two quaternions that have basis elementse0,e1,e2,e3, andε. Dualnumbers are often written in the formz=ζ+εζ*, whereεis the dual identity and has the propertiesε2=0  (ε≠0). We research the properties of some regular functions with values in dual quaternion and give applicationsof the extension problem for dual quaternion functions.

[学科分类] 应用数学