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虚数の次数の変形ベッセル関数K_{is}(x),I_{is}(x)を含んだ円筒調和関数によるポテンシャル問題の解析
http://hdl.handle.net/10232/12788
http://hdl.handle.net/10232/12788d5c6e88f-42c4-42b1-949d-c4e7e80c446d
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
AN00040363_v15_p133-144.pdf (16.9 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 | Analysis of Potential Problems by the Use of the Cylindrical Harmonics Involving the Modified Bessel Functions of Purely Imaginary Order K_{is}(x) and I_{is}(x) | |||||||||||||
| タイトル言語 | en | |||||||||||||
| タイトル | ||||||||||||||
| タイトル | 虚数の次数の変形ベッセル関数K_{is}(x),I_{is}(x)を含んだ円筒調和関数によるポテンシャル問題の解析 | |||||||||||||
| タイトル言語 | ja | |||||||||||||
| 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 | ||||||||||||||
| 内容記述タイプ | Other | |||||||||||||
| 内容記述 | It is well known that there are three kinds of cylindrical harmonics which are used to express the potential functions in the cylindrical coordinates. The three kinds of cylindrical harmonics have their own regions of rapid convergence and are called the z-, r- and φ-form. The cylindrical harmonics of the z- and r-form are very popular and are oftenly used in many field of physics and engineering. However, the cylindrical harmonics of the φ-form which involve the modified Bessel functions of purely imaginary order K_{is}(x) and I_{is}(x) have not been used for the analysis of some practical problems. In this paper, we discussed the possibility of analysis of potential problems based on the cylindrical harmonics of the φ-form. Usually the expression of the φ-form is given in a series of some kinds of integral with respect to the order s. It is shown that this type of integration is carried out efficiently by a method which is a variation of the Double Exponential quadrature formula recently presented by Takahashi and Mori. By comparing the computing times which are required for the analysis of two analogous problems with non-axisymmetry, it is concluded that the complexity of this new method of analysis is the same in order as that of ordinary method using the expressions of the r-form. As an applications of this method, we analyzed some potential problems in connection with the four point probe technique. |
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| 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. 133-144, 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 | 鹿児島大学 | |||||||||||||
| 出版者言語 | ja | |||||||||||||
| 公開者・出版者 | ||||||||||||||
| 出版者 | Kagoshima University | |||||||||||||
| 出版者言語 | en | |||||||||||||
