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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 |
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58-2p.11-20.pdf (458.9 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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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 |