WEKO3
アイテム
{"_buckets": {"deposit": "89eae89c-a00e-412d-ae7a-fab240c09b1c"}, "_deposit": {"id": "17978", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "17978"}, "status": "published"}, "_oai": {"id": "oai:nagoya.repo.nii.ac.jp:00017978", "sets": ["699"]}, "author_link": ["52453", "52454", "52455"], "item_10_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2011-12", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "1-2", "bibliographicPageEnd": "142", "bibliographicPageStart": "127", "bibliographicVolumeNumber": "60", "bibliographic_titles": [{"bibliographic_title": "Commentarii mathematici Universitatis Sancti Pauli"}]}]}, "item_10_description_4": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "We give evaluation formulas for certain Dirichlet series involving hyperbolic factors at some integer points in terms of π and the lemniscate constant, which have the same flavour as the classical formulas due to Cauchy, Mellin and Ramanujan. We then prove analogous formulas for double series involving hyperbolic functions. These formulas are shown via the functional equation for Barnes multiple zeta-functions, proved in a previous paper of the authors.", "subitem_description_language": "en", "subitem_description_type": "Abstract"}]}, "item_10_identifier_60": {"attribute_name": "URI", "attribute_value_mlt": [{"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/2237/20070"}]}, "item_10_publisher_32": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "Rikkyo Daigaku", "subitem_publisher_language": "en"}]}, "item_10_select_15": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "author"}]}, "item_10_source_id_7": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0010-258X", "subitem_source_identifier_type": "PISSN"}]}, "item_1615787544753": {"attribute_name": "出版タイプ", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_ab4af688f83e57aa", "subitem_version_type": "AM"}]}, "item_access_right": {"attribute_name": "アクセス権", "attribute_value_mlt": [{"subitem_access_right": "open access", "subitem_access_right_uri": "http://purl.org/coar/access_right/c_abf2"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "KOMORI, YASUSHI", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "52453", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "MATSUMOTO, KOHJI", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "52454", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "TSUMURA, HIROFUMI", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "52455", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-02-21"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "8.pdf", "filesize": [{"value": "78.1 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 78100.0, "url": {"label": "8.pdf", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/17978/files/8.pdf"}, "version_id": "efff5df9-aa60-4f51-8bcd-1da867de8478"}]}, "item_language": {"attribute_name": "言語", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "EVALUATION FORMULAS OF CAUCHY-MELLIN TYPE FOR CERTAIN SERIES INVOLVING HYPERBOLIC FUNCTIONS", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "EVALUATION FORMULAS OF CAUCHY-MELLIN TYPE FOR CERTAIN SERIES INVOLVING HYPERBOLIC FUNCTIONS", "subitem_title_language": "en"}]}, "item_type_id": "10", "owner": "1", "path": ["699"], "permalink_uri": "http://hdl.handle.net/2237/20070", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2014-06-04"}, "publish_date": "2014-06-04", "publish_status": "0", "recid": "17978", "relation": {}, "relation_version_is_last": true, "title": ["EVALUATION FORMULAS OF CAUCHY-MELLIN TYPE FOR CERTAIN SERIES INVOLVING HYPERBOLIC FUNCTIONS"], "weko_shared_id": -1}
EVALUATION FORMULAS OF CAUCHY-MELLIN TYPE FOR CERTAIN SERIES INVOLVING HYPERBOLIC FUNCTIONS
http://hdl.handle.net/2237/20070
http://hdl.handle.net/2237/20070e64ba504-b74e-492c-8252-fbc3f4e3c6d3
名前 / ファイル | ライセンス | アクション |
---|---|---|
![]() |
|
Item type | 学術雑誌論文 / Journal Article(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2014-06-04 | |||||
タイトル | ||||||
タイトル | EVALUATION FORMULAS OF CAUCHY-MELLIN TYPE FOR CERTAIN SERIES INVOLVING HYPERBOLIC FUNCTIONS | |||||
言語 | en | |||||
著者 |
KOMORI, YASUSHI
× KOMORI, YASUSHI× MATSUMOTO, KOHJI× TSUMURA, HIROFUMI |
|||||
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 | We give evaluation formulas for certain Dirichlet series involving hyperbolic factors at some integer points in terms of π and the lemniscate constant, which have the same flavour as the classical formulas due to Cauchy, Mellin and Ramanujan. We then prove analogous formulas for double series involving hyperbolic functions. These formulas are shown via the functional equation for Barnes multiple zeta-functions, proved in a previous paper of the authors. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Rikkyo Daigaku | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
出版タイプ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0010-258X | |||||
書誌情報 |
Commentarii mathematici Universitatis Sancti Pauli 巻 60, 号 1-2, p. 127-142, 発行日 2011-12 |
|||||
著者版フラグ | ||||||
値 | author | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/20070 | |||||
識別子タイプ | HDL |