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298                                      Kuaterniyonlar ve Geometri ­ Mustafa Özdemir



              16. Kabadayı H., Yaylı Y., Unit Dual Quaternions and Arcs, Commun.Fac.Sci.Univ.An k.Series A1, Volume 59,
                 Number 2, 35­40, 2010.
              17. Kahveci, Derya, ˙ Ismail Gök, and Yusuf Yaylı. "Some variations of dual Euler–Rodrigues formula with
                 an application to point–line geometry." Journal of Mathematical Analysis and Applications 459.2 (2018):
                 1029­1039.
              18. Süleyman Demir, Kompleks ve dual kuaterniyonların fiziksel uygulamaları, Doktora tezi, 2003.
              19. Ali Atasoy, Kuaterniyon ve kuaterniyonik fonksiyonların bazı uygulamaları, Doktora tezi, 2013.
              20. Murat Bekar, Kuaterniyonların involüsyonları ve anti involüsyonları, Doktora tezi, 2014.
              21. R. Ghadami G. Naser, Kuaterniyonlar ve interpolasyonlar, Doktora tezi, 2013.

              Split Kuaterniyonlar
              1.  Wikipedia, https://en.wikipedia.org/wiki/Split­quaternion, August 2020.
              2.  J. Cockle, On Systems of Algebra involving more than one Imaginary. Philosophical Magazine 35 (3) (1849),
                 434–435.
              3.  Özdemir, M., and Abdullah A. Ergin. "Rotations with unit timelike quaternions in Minkowski 3­space."
                 Journal of geometry and physics 56.2 (2006): 322­336.
              4.  Özdemir, M. "The roots of a split quaternion." Applied Mathematics Letters 22.2 (2009): 258­263.
              5.  Özdemir, M., and A. A. Ergin. "Some geometric applications of timelike quaternions." Int. Conf. Jonhjean
                 Math. Soc. Vol. 16. 2005.
              6.  Nešovi´ c, Emilija. "On rotation about lightlike axis in three­dimensional Minkowski space." Advances in
                 Applied Clifford Algebras 26.1 (2016): 237­251.
              7.  Kula, L.: Split quaternions and the geometrical applications. Ph.D. thesis, Ankara University Graduate school
                 and the natural science (2003)
              8.  Inoguchi, J., Timelike Surfaces of Constant Mean Curvature in Minkowski 3­space, Tokyo J. Math.,21(1),
                 141­1
              9.  Özdemir, Mustafa, Melek Erdo˘ gdu, and Hakan ¸Sim¸sek. "On the eigenvalues and eigenvectors of a lorentzian
                 rotation matrix by using split quaternions." Advances in Applied Clifford Algebras 24.1 (2014): 179­192.
                                                                          4
              10. Kula, L., Yaylı, Y.: Split Quaternions and Rotations in Semi Euclidean Space E 2 .J. Korean Math. Soc.44(6),
                 1313–1327 (2007)
              11. Alagöz, Yasemin, Kür¸sat Hakan Oral, and Salim Yüce. "Split quaternion matrices." Miskolc Mathematical
                 Notes 13.2 (2012): 223­232.
              12. Erdo˘ gdu, M., and Özdemir, M., On eigenvalues of split quaternion matrices, Advances in Applied Clifford
                 Algebras 23.3 (2013): 615­623.
              13. Erdo˘ gdu, M., and Özdemir, M., On complex split quaternion matrices, Advances in Applied Clifford Algebras
                 23.3 (2013): 625­638.
              14. Erdo˘ gdu, M., and Özdemir, M.,"Split quaternion matrix representation of dual split quaternions and their
                 matrices." Advances in Applied Clifford Algebras 25.4 (2015): 787­798.
              15. Erdo˘ gdu, M., and Özdemir, M., On exponential of split quaternionic matrices. Appl. Math. Comput. 315,
                 468–476 (2017)
              16. Erdo˘ gdu, M., and Özdemir, M., Matrices over hyperbolic split quaternions, Filomat 30.4 (2016): 913­920.
              17. Erdo˘ gdu, M., and Özdemir, M., Real Matrix Representation of Split Quaternion Matrices with Applications,
                 (2013).
              18. Erdo˘ gdu, M., and Özdemir, M., Two­sided linear split quaternionic equations with n unknowns, Linear and
                 Multilinear Algebra 63.1 (2015): 97­106.
              19. Ni, Qiu­Ying, et al., 2 × 2 Matrix Representation Forms and Inner Relationships of Split Quaternions,
                 Advances in Applied Clifford Algebras 29.2 (2019): 34.
              20. Kösal, Hidayet Hüda, Mahmut Akyi˘ git, and Murat Tosun. "On the consimilarity of split quaternions and split
                 quaternion matrices." Analele Universitatii" Ovidius" Constanta­Seria Matematica 24.3 (2016): 189­207.
              21. Kyrchei, Ivan. "The column and row immanants over a split quaternion algebra." Advances in Applied
                 Clifford Algebras 25.3 (2015): 611­619.
                                                                                    3
              22. Tarakçio˘ glu, Mustafa, et al. "The Hyperbolic Spinor Representation of Transformations in R 1 by Means of
                 Split Quaternions." Advances in Applied Clifford Algebras 28.1 (2018): 26.
              23. Özkaldı, Sıddıka, and Halit Gündo˘ gan. "Dual split quaternions and screw motion in 3­dimensional Lorentzian
                 space." Advances in Applied Clifford Algebras 21.1 (2011): 193­202.
              24. Ali, Istkhar. "A note on quaternion matrices and split quaternion matrix pencils." Journal of Applied
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