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Dual Quaternion Functions and Its Applications

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  • Su Jin Lim
  • Kwang Ho Shon

Abstract

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.

Suggested Citation

  • Su Jin Lim & Kwang Ho Shon, 2013. "Dual Quaternion Functions and Its Applications," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-6, September.
    • Handle: RePEc:hin:jnljam:583813
    DOI: 10.1155/2013/583813
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