A dual quaternion is associated with two quaternions that have basis elements , , , , and . Dual numbers are often written in the form , where is the dual identity and has the properties . We research the properties of some regular functions with values in dual quaternion and give applications of the extension problem for dual quaternion functions.
"Dual Quaternion Functions and Its Applications." J. Appl. Math. 2013 (SI21) 1 - 6, 2013. https://doi.org/10.1155/2013/583813