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The Theory of Functions of an Octonion Variable
https://ous.repo.nii.ac.jp/records/674
https://ous.repo.nii.ac.jp/records/6747f039e6f-3c91-4dfb-9ab5-92bec3e39df4
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
KJ00000063227.pdf (396.1 kB)
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| Item type | 紀要論文(ELS) / Departmental Bulletin Paper(1) | |||||||||||||||||
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| 公開日 | 1984-03-05 | |||||||||||||||||
| タイトル | ||||||||||||||||||
| タイトル | The Theory of Functions of an Octonion Variable | |||||||||||||||||
| 言語 | ja | |||||||||||||||||
| タイトル | ||||||||||||||||||
| タイトル | The Theory of Functions of an Octonion Variable | |||||||||||||||||
| 言語 | en | |||||||||||||||||
| 言語 | ||||||||||||||||||
| 言語 | eng | |||||||||||||||||
| 資源タイプ | ||||||||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||||||||
| 資源タイプ | departmental bulletin paper | |||||||||||||||||
| ページ属性 | ||||||||||||||||||
| 内容記述タイプ | Other | |||||||||||||||||
| 内容記述 | P(論文) | |||||||||||||||||
| 著者名 |
今枝, 国之助
× 今枝, 国之助
× 今枝, 真理
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| 著者所属(日) | ||||||||||||||||||
| ja | ||||||||||||||||||
| 岡山理科大学電子理学科 | ||||||||||||||||||
| 著者所属(英) | ||||||||||||||||||
| en | ||||||||||||||||||
| Department of Electronic Science, Okayama University of Science | ||||||||||||||||||
| 著者所属(英) | ||||||||||||||||||
| en | ||||||||||||||||||
| I.F.U.P. | ||||||||||||||||||
| 抄録(英) | ||||||||||||||||||
| 内容記述タイプ | Other | |||||||||||||||||
| 内容記述 | There has been an increasing interest among some physicists in the mathematical theory of octonions, especially in their algebraic characters which are closely related to the quark model. Octonions obey neither the commutative nor the associative laws and was thought that the theory of functions of an octonion variable may differ greatly from that of a complex variable and that of a quaternion variable. However, Dentoni and Sce have shown that the theorems and the methods in the theory of functions of a quaternion variable can be extended to that of an octonion variable. In this paper we describe the results obtained by Dentoni and Sce in a more general form, and develop the theory of regular polynomial functions of an octonion variable which are an extension of Fueter's polynomials in the quaternion theory. | |||||||||||||||||
| 言語 | en | |||||||||||||||||
| 雑誌書誌ID | ||||||||||||||||||
| 収録物識別子タイプ | NCID | |||||||||||||||||
| 収録物識別子 | AN00033244 | |||||||||||||||||
| 書誌情報 |
ja : 岡山理科大学紀要. A, 自然科学 en : The Bulletin of the Okayama University of Science, A, Natural Science 巻 19, p. 93-102, 発行日 1984-03-05 |
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