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虚数の次数の変形ベッセル関数K_{is}(x),I_{is}(x)及びそれらに関連した関数
http://hdl.handle.net/10232/12787
http://hdl.handle.net/10232/1278777104ff2-4d1c-43d2-b39e-5e028531da6c
名前 / ファイル | ライセンス | アクション |
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AN00040363_v15_p91-131.pdf (60.4 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||||||
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公開日 | 2012-04-09 | |||||||||||||
タイトル | ||||||||||||||
タイトル言語 | en | |||||||||||||
タイトル | Modified Bessel Functions of Purely Imaginary Order K_{is}(x), I_{is}(x) and their Related Functions | |||||||||||||
タイトル | ||||||||||||||
タイトル言語 | ja | |||||||||||||
タイトル | 虚数の次数の変形ベッセル関数K_{is}(x),I_{is}(x)及びそれらに関連した関数 | |||||||||||||
著者 |
村島, 定行
× 村島, 定行
× 清野, 武
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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 | |||||||||||||
要約(Abstract) | ||||||||||||||
内容記述タイプ | Other | |||||||||||||
内容記述 | The solutions of the Bessel equation・・・[omitted] are discussed in detail. The modified Bessel Functions K_ν(x) and I_ν(x) are the two independent solutions of above equation when the order is purely imaginary, i.e., ν=is. The value of the function K_{is}(x) is real while the value of the function I_{is}(x) is complex for real s and x. Hence a new real function M_{is}(x) is introduced in place of the complex function I_{is}(x). Some series expansions for K_{is}(x) and M_{is}(x) are given. The possibility to compute the value of these functions and their derivatives by the use of their series expansions are discussed and a practical procedure with the accuracy of the eight decimal places is presented. Short tables for K_{is}(x) and M_{is}(x) and their related functions are given. Some related formulas with K_{is}(x) are also collected. | |||||||||||||
内容記述言語 | en | |||||||||||||
収録雑誌名 |
ja : 鹿児島大学工学部研究報告 en : The Research Reports of the Faculty of Engineering, Kagoshima University 巻 15, p. 91-131, 発行日 1973-09 |
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作成日 | ||||||||||||||
日付 | 1973-09 | |||||||||||||
日付タイプ | Issued | |||||||||||||
ISSN | ||||||||||||||
収録物識別子タイプ | PISSN | |||||||||||||
ISSN | 0451212X | |||||||||||||
NII書誌ID(雑誌) | ||||||||||||||
収録物識別子タイプ | NCID | |||||||||||||
NC ID | AN00040363 | |||||||||||||
出版タイプ | ||||||||||||||
出版タイプ | VoR | |||||||||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||||
NDC | ||||||||||||||
主題Scheme | NDC | |||||||||||||
主題 | 413 | |||||||||||||
公開者・出版者 | ||||||||||||||
出版者言語 | ja | |||||||||||||
出版者 | 鹿児島大学 | |||||||||||||
公開者・出版者 | ||||||||||||||
出版者言語 | en | |||||||||||||
出版者 | Kagoshima University |