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Barnes multiple zeta-functions, Ramanujan’s formula, and relevant series involving hyperbolic functions
http://hdl.handle.net/2237/20427
http://hdl.handle.net/2237/204276d171de7-9b5e-4a3a-b956-944c8767408b
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
2.pdf (182.3 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
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| 公開日 | 2014-06-27 | |||||
| タイトル | ||||||
| タイトル | Barnes multiple zeta-functions, Ramanujan’s formula, and relevant series involving hyperbolic functions | |||||
| 言語 | en | |||||
| 著者 |
Komori, Yasushi
× Komori, Yasushi× Matsumoto, Kohji× Tsumura, Hirofumi |
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| アクセス権 | ||||||
| アクセス権 | open access | |||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | In the former part of this paper, we give functional equations for Barnes multiple zeta-functions and consider some relevant results. In particular, we show that Ramanujan’s classical formula for the Riemann zeta values can be derived from functional equations for Barnes zetafunctions. In the latter half part, we generalize some evaluation formulas for certain series involving hyperbolic functions in terms of Bernoulli polynomials. The original formulas were classically given by Cauchy, Mellin, Ramanujan, and later recovered and reformulated by Berndt. From our consideration, we give multiple versions of these known formulas. | |||||
| 言語 | en | |||||
| 出版者 | ||||||
| 出版者 | Ramanujan Mathematical Society | |||||
| 言語 | en | |||||
| 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 | journal article | |||||
| 出版タイプ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 0970-1249 | |||||
| 書誌情報 |
Journal of the Ramanujan Mathematical Society 巻 28, 号 1, p. 49–69-49–69, 発行日 2013-03 |
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| 著者版フラグ | ||||||
| 値 | publisher | |||||
| URI | ||||||
| 識別子 | http://hdl.handle.net/2237/20427 | |||||
| 識別子タイプ | HDL | |||||
