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Continuant, caterpillar, and topological index Z. II. Novel identities involving Fibonacci, Lucas, and generalized Fibonacci numbers
http://hdl.handle.net/10083/35236
http://hdl.handle.net/10083/35236c4812660-0a42-4aa6-a589-8f8db9954fa3
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
58-2p.11-20.pdf (458.9 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2009-10-22 | |||||
| タイトル | ||||||
| タイトル | Continuant, caterpillar, and topological index Z. II. Novel identities involving Fibonacci, Lucas, and generalized Fibonacci numbers | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Hosoya, haruo
× Hosoya, haruo× ホソヤ, ハルオ |
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| 内容記述 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | The three series of numbers, Fibonacci (Fn) Lucas, (Ln) and generalized Fibonacci (Gn) are defined to have the same recursive relation, un = u_<n-1>+u_<n-2*> By imposing the following set of initial conditions, f_0=f_1=1, L_1=1 and L_2=3, and G_1=a>0 and G2=b>0 with b>2a, a number of novel identities were found which systematically relate f_n, L_n, and G_n with each other. Further, graph-theoretical interpretation for these relations was obtained by the aid of the continuant, caterpillar graph, and topological index Z which was proposed and developed by the present author. | |||||
| 書誌情報 |
お茶の水女子大學自然科學報告 巻 58, 号 2, p. 11-20, 発行日 2008-02 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 00298190 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AN00033958 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 形態 | ||||||
| 458928 bytes | ||||||
| 著者版フラグ | ||||||
| 値 | publisher | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 400 | |||||
| 出版者 | ||||||
| 出版者 | お茶の水女子大学 | |||||
| 資源タイプ | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | 紀要論文 | |||||
| 資源タイプ・ローカル | ||||||
| 紀要論文 | ||||||
| 資源タイプ・NII | ||||||
| Departmental Bulletin Paper | ||||||
| 資源タイプ・DCMI | ||||||
| text | ||||||
| 資源タイプ・ローカル表示コード | ||||||
| 03 | ||||||
