ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA
Yıl: 2014 Cilt: 63 Sayı: 1 Sayfa Aralığı: 1 - 10 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022
ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA
Öz: We study some fundamental properties of the quasi-quaternions and derive the De Moivreís and Eulerís formulae for matrices associated with these quaternions. Furthermore, with the aid of the De-Moivreís formula, any powers of these matrices can be obtained.
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- [1] Adler S. L., Quaternionic quantum mechanics and quantum ...elds, Oxford University Press inc., New York, 1995.
- [2] Agrawal O. P., Hamilton operators and dual-number-quaternions in spatial kinematics, Mech. Mach. Theory. 22,no.6 (1987)569-575
- [3] Cho E., De-Moivre Formula for Quaternions, Appl. Math. Lett. Vol. 11, no. 6(1998)33-35
- [4] Ercan Z., Yuce S., On properties of the Dual Quaternions, European j. of Pure and Appl. Math., Vol. 4, no. 2(2011) 142-146
- [5] Farebrother R.W., GroB J., Troschke S., Matrix Representaion of Quaternions, Linear Algebra and its Appl., 362(2003)251-255
- [6] Jafari M., Mortazaasl H., Yayli Y., De Moivres Formula for Matrices of Quaternions, JP J. of Algebra, Number Theory and appl., Vol.21, no.1 (2011) 57-67
- [7] Kabadayi H., Yayli Y., De Moivres Formula for Dual Quaternions, Kuwait J. of Sci. & Tech., Vol. 38, no.1 (2011)15-23
- [8] Majernik V., Quaternion Formulation of the Galilean Space-Time Transformation, Acta phy. Slovaca, vol. 56, no.1(2006)9-14
- [9] Ozdemir M., The Roots of a Split Quaternion, Applied Math. Lett. 22(2009) 258-263
- 10] Rosenfeld b.a., Geometry of Lie Groups, Kluwer Academic Publishers, Dordrecht , 1997
- 11] Schmidt J. , Nieman H., Using Quaternions for Parametrizing 3-D Rotations in Unconstrained Nonlinear Optimization, Vision Modeling and Visualization, Stuttgart, Germany (2001) 399406
- [12] Ward J. P., Quaternions and Cayley Numbers Algebra and Applications, Kluwer Academic Publishers, London, 1997
- [13] Yayli Y., Homothetic Motions at E 4 . Mech. Mach. Theory, Vol. 27, no. 3 (1992)303-305
- [14] yayli y., Tutuncu E.E., Generalized Galilean Transformations and Dual Quaternions, Sci- entia Magna, Vol.5, no.1 (2009) 94-100
- [15] Zhang F., Quaternions and Matrices of Quaternions, Linear Algebra and its Appl.,251(1997) 21-57
APA | JAFARI M (2014). ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA. , 1 - 10. |
Chicago | JAFARI Mehdi ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA. (2014): 1 - 10. |
MLA | JAFARI Mehdi ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA. , 2014, ss.1 - 10. |
AMA | JAFARI M ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA. . 2014; 1 - 10. |
Vancouver | JAFARI M ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA. . 2014; 1 - 10. |
IEEE | JAFARI M "ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA." , ss.1 - 10, 2014. |
ISNAD | JAFARI, Mehdi. "ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA". (2014), 1-10. |
APA | JAFARI M (2014). ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 63(1), 1 - 10. |
Chicago | JAFARI Mehdi ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 63, no.1 (2014): 1 - 10. |
MLA | JAFARI Mehdi ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.63, no.1, 2014, ss.1 - 10. |
AMA | JAFARI M ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2014; 63(1): 1 - 10. |
Vancouver | JAFARI M ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2014; 63(1): 1 - 10. |
IEEE | JAFARI M "ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 63, ss.1 - 10, 2014. |
ISNAD | JAFARI, Mehdi. "ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 63/1 (2014), 1-10. |