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De Moivre's and Euler's Formulas for the Matrices of Octonions

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dc.contributor.authorBektas, Ozcan
dc.contributor.authorYuce, Salim
dc.date.accessioned2026-06-27T14:22:29Z
dc.date.issued2019
dc.description.abstractThe purpose of this paper is to obtain De Moivre's and Euler's formulas for the matrices of octonions, and to find the powers and the roots of these matrices. A simple method is provided to find the powers of 8x8 matrices with the help of De Moivre's formula obtained from the matrices of octonions. We also show that any powers of these matrices can be found. Furthermore, we get the square, cubic and n-th roots for the matrices of octonions.en
dc.description.urihttps://doi.org/10.1007/s40010-017-0388-z
dc.identifier.doi10.1007/s40010-017-0388-z
dc.identifier.eissn2250-1762
dc.identifier.endpage127
dc.identifier.issn0369-8203
dc.identifier.issue1
dc.identifier.startpage113
dc.identifier.urihttps://hdl.handle.net/20.500.14981/59865
dc.identifier.volume89
dc.identifier.wos000461480100011
dc.language.isoeng
dc.publisherNATL ACAD SCIENCES INDIA
dc.relation.ispartofPROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
dc.subjectDe Moivre's formula
dc.subjectEuler's formula
dc.subjectOctonions
dc.subjectMatrix representations
dc.subjectREPRESENTATION
dc.subjectFIELDS
dc.subjectScience & Technology - Other Topics
dc.titleDe Moivre's and Euler's Formulas for the Matrices of Octonions
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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