INFORMAZIONI SU QUESTO ARTICOLO

Cita

[1] S.L. Adler, Quaternionic quantum mechanics and quantum fields, New York: Oxford University Press, 1994.Search in Google Scholar

[2] I. Akkus and O. Keçilioglu, Split Fibonacci and Lucas octonions, Adv. Appl. Clifford Algebras, 25(3), (2015), 517–525.10.1007/s00006-014-0515-8Search in Google Scholar

[3] M. Akyigit, H.H. Kösal and M. Tosun, Split Fibonacci quaternions, Adv. Appl. Clifford Algebras, 23, (2013), 535–545.10.1007/s00006-013-0401-9Search in Google Scholar

[4] J.C. Baez, The octonions, Bull. Am. Math. Soc., 39, (2002), 145–205.10.1090/S0273-0979-01-00934-XSearch in Google Scholar

[5] P. Barry, Triangle geometry and Jacobsthal numbers, Irish Math. Soc. Bull., 51, (2003), 45–57.10.33232/BIMS.0051.45.58Search in Google Scholar

[6] K. Carmody, Circular and Hyperbolic Quaternions, Octonions and Sedenions, Appl. Math. Comput., 28, (1988), 47–72.10.1016/0096-3003(88)90133-6Search in Google Scholar

[7] P. Catarino, The modified Pell and the modified k-Pell quaternions and octonions, Adv. Appl. Clifford Algebras, 26, (2016), 577–590.10.1007/s00006-015-0611-4Search in Google Scholar

[8] G. Cerda-Morales, Identities for Third Order Jacobsthal Quaternions, Advances in Applied Clifford Algebras, 27(2), (2017), 1043–1053.10.1007/s00006-016-0654-1Search in Google Scholar

[9] G. Cerda-Morales, On a Generalization of Tribonacci Quaternions, Mediterranean Journal of Mathematics, 14:239 (2017), 1–12.10.1007/s00009-017-1042-3Search in Google Scholar

[10] Ch. K. Cook and M. R. Bacon, Some identities for Jacobsthal and Jacobsthal-Lucas numbers satisfying higher order recurrence relations, Annales Mathematicae et Informaticae, 41, (2013), 27–39.Search in Google Scholar

[11] W. Y. C. Chen and J. D. Louck, The combinatorial power of the companion matrix, Linear Algebra Appl., 232, (1996), 261–278.10.1016/0024-3795(95)90163-9Search in Google Scholar

[12] C.B. Çimen and A. İpek, On Pell quaternions and Pell-Lucas quaternions, Adv. Appl. Clifford Algebras, 26(1), (2016), 39–51.10.1007/s00006-015-0571-8Search in Google Scholar

[13] C.B. Çimen and A. İpek, On Jacobsthal and Jacobsthal-Lucas Octonions, Mediterranean Journal of Mathematics, 14:37, (2017), 1–13.10.1007/s00009-017-0873-2Search in Google Scholar

[14] M. Gogberashvili, Octonionic Geometry, Adv. Appl. Clifford Algebras, 15, (2005), 55–66.10.1007/s00006-005-0003-2Search in Google Scholar

[15] M. Gogberashvili, Octonionic electrodynamics, J. Phys. A: Math. Gen., 39, (2006), 7099–7104.10.1088/0305-4470/39/22/020Search in Google Scholar

[16] S. Halici, On Fibonacci quaternions, Adv. Appl. Clifford Algebras, 22, (2012), 321–327.10.1007/s00006-011-0317-1Search in Google Scholar

[17] S. Halici, On complex Fibonacci quaternions, Adv. Appl. Clifford Algebras, 23, (2013), 105–112.10.1007/s00006-012-0337-5Search in Google Scholar

[18] A. F. Horadam, Complex Fibonacci numbers and Fibonacci quaternions, Am. Math. Month., 70, (1963), 289–291.10.2307/2313129Search in Google Scholar

[19] A. F. Horadam, Quaternion recurrence relations, Ulam Quarterly, 2, (1993), 23–33.Search in Google Scholar

[20] A. F. Horadam, Jacobsthal representation numbers, Fibonacci Quarterly, 34, (1996), 40–54.Search in Google Scholar

[21] M.R. Iyer, A note on Fibonacci quaternions, Fibonacci Quaterly, 7(3), (1969), 225–229.Search in Google Scholar

[22] D. Kalman, Generalized Fibonacci numbers by matrix methods, Fibonacci Quaterly, 20(1), (1982), 73–76.Search in Google Scholar

[23] O. Keçilioğlu and I. Akkus, The Fibonacci Octonions, Adv. Appl. Clifford Algebras, 25(1), (2015), 151–158.10.1007/s00006-014-0468-ySearch in Google Scholar

[24] J. Köplinger, Signature of gravity in conic sedenions, Appl. Math. Computation, 188, (2007), 942–947.10.1016/j.amc.2006.10.049Search in Google Scholar

[25] J. Köplinger, Hypernumbers and relativity, Appl. Math. Computation, 188, (2007), 954–969.10.1016/j.amc.2006.10.051Search in Google Scholar

[26] A. Szynal-Liana and I. Włoch, A Note on Jacobsthal Quaternions, Adv. Appl. Clifford Algebras, 26, (2016), 441–447.10.1007/s00006-015-0622-1Search in Google Scholar

[27] Y. Tian, Matrix representations of octonions and their applications, Adv. Appl. Clifford Algebras, 10(1), (2000), 61–90.10.1007/BF03042010Search in Google Scholar

eISSN:
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Lingua:
Inglese
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Volume Open
Argomenti della rivista:
Mathematics, General Mathematics