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On Regular Functions of a Nonalternative Hypercomplex Variable
https://ous.repo.nii.ac.jp/records/699
https://ous.repo.nii.ac.jp/records/69964803ab5-063e-4ad1-b387-2555d3246a19
| 名前 / ファイル | ライセンス | アクション |
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KJ00000063252.pdf (455.0 kB)
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| Item type | 紀要論文(ELS) / Departmental Bulletin Paper(1) | |||||||||||||||||
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| 公開日 | 1985-03-05 | |||||||||||||||||
| タイトル | ||||||||||||||||||
| タイトル | On Regular Functions of a Nonalternative Hypercomplex Variable | |||||||||||||||||
| 言語 | ja | |||||||||||||||||
| タイトル | ||||||||||||||||||
| タイトル | On Regular Functions of a Nonalternative Hypercomplex 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 | For the algebra of hypercomplex numbers in our theory, neither the associative law nor the alternative law is assumed. We have assumed the power associative law for the algebra and the anticommutation relations for the units i_κ (k=1,…, 2s-1) : i_1i_κ+i_κi_i=-2δ_<κ1>. There are several subvariables which do not contain certain coordinate variables x_κ. Accordingly, there are several regularity conditions each of which is applicable to functions of a specific variable. It is shown that a function G(X)≡□^<s-1>F(X) is a regular function of a hypercomplex variable X=x_0+i_1x_1+…+i_<2s-1>x_<2s-1>, [numerical formula] and assuming that F(X) is a regular function of a complex variable Χ=x_0+ix. We have derived the integral theorems, regular polynomial functions, exponential functions and Fourier integral theorems. The results may be of use even to those functions of a Clifford variable and to those of an octonion variable which are alternative or even associative. | |||||||||||||||||
| 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 20, p. 133-144, 発行日 1985-03-05 |
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