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Modified Bessel Functions of Purely Imaginary Order K_{is}(x), I_{is}(x) and their Related Functions
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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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 | Modified Bessel Functions of Purely Imaginary Order K_{is}(x), I_{is}(x) and their Related Functions | |||||
別言語のタイトル | ||||||
その他のタイトル | 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 |
MURASHIMA, Sadayuki
× MURASHIMA, Sadayuki× KIYONO, Takeshi |
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著者よみ | ||||||
姓名 | ムラシマ, サダユキ | |||||
著者よみ | ||||||
姓名 | キヨノ, タケシ | |||||
別言語の著者 | ||||||
姓名 | 村島, 定行 | |||||
別言語の著者 | ||||||
姓名 | 清野, 武 | |||||
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. |
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収録雑誌名 |
鹿児島大学工学部研究報告 巻 15, p. 91-131 |
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作成日 | ||||||
日付 | 1973-09-30 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
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 | |||||
公開者よみ | ||||||
公開者よみ | カゴシマ ダイガク | |||||
公開者別名 | ||||||
公開者別名 | Kagoshima University |