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On Properties of the Dual Quaternions

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2011

Key Words:

Author NameUniversity of AuthorFaculty of Author

AMS Codes:

Abstract (2. Language): 
In this paper, Euler’s and De Moivre’s formulas for complex numbers and quaternions are generalized for the dual quaternions. Also, the matrix representation of dual quaternions is expressed.
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FULL TEXT (PDF): 
PDF icon arastirmax-properties-dual-quaternions.pdf
  • 2
142-146
  • English

REFERENCES

References: 

[1] B. Artmann. The concept of Number: From Quaternions to Modads and topological
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[3] E. Cho. De Moivre’s formula for quaternions. Appl. Math. Lett., 11.6: 33-35. 1998.
[4] W. K. Clifford. Preliminary sketch of bi-quaternions. Proc. London Math. Soc. 4. 381-395.
1873.
[5] G. Helzer. Special Relativity with acceleration. Amer. Math. Monthy, 107.3: 215-237.
2000.
[6] V.Majernik. Quaternion formulation of the Galilean space-time transformation. Acta Phy.
Slovaca, 56.1: 9-14. 2006.
[7] E. Pennestrì and R. Stefanelli. Linear algebra and numerical algorithms using dual numbers.
Multibody Syst. Dyn. 18.3: 323-344. 2007.
[8] E. Study. Geometrie der Dynamen, Leipzig, Germany, 1903.
[9] I. M. Yaglom. Complex Numbers in Geometry, New York, Academic, 1968.

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