{"created":"2023-07-27T06:52:13.511884+00:00","id":46013,"links":{},"metadata":{"_buckets":{"deposit":"5c66559a-3b86-4c7e-9f14-da1edfb7001f"},"_deposit":{"created_by":18,"id":"46013","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"46013"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00046013","sets":["2812:2813:2824"]},"author_link":["241","79859"],"item_9_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2010-05-19","bibliographicIssueDateType":"Issued"},"bibliographicPageStart":"4p.","bibliographicVolumeNumber":"2007-2009","bibliographic_titles":[{"bibliographic_title":"平成21(2009)年度 科学研究費補助金 若手研究(B) 研究成果報告書"},{"bibliographic_title":"2009 Fiscal Year Final Research Report","bibliographic_titleLang":"en"}]}]},"item_9_creator_33":{"attribute_name":"著者別表示","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ohara, Katsuyoshi"}],"nameIdentifiers":[{"nameIdentifier":"79859","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"00313635","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=00313635"}]}]},"item_9_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"本研究では、超幾何関数の局所的性質(微分差分方程式系)と計算機代数に基づいて公式の導出を行った。A-超幾何関数に対して、A-超幾何微分差分方程式を提案し、さらに微分差分作用素環のグレブナー基底による方法によって、A-超幾何微分差分方程式の次元公式を与えた。またアペル・ロリチェラの超幾何関数に対して新しいタイプの関数等式を導出した。加えてその公式からガウス超幾何関数に対する関数等式も導出した。さらに研究成果の一環として数学ソフトウェアを作成した。","subitem_description_type":"Abstract"},{"subitem_description":"In this research, we proved theorems for hypergeometric functions by using hypergeometric differential-difference equations. We studied the rank theory for A-hypergeometric differential-difference equations. We found new transformation formulas for Lauricella's hypergeometric functions of 2 and 3 variables. We developed mathematical software on computer algebra system.","subitem_description_type":"Abstract"}]},"item_9_description_22":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"研究課題/領域番号:19740069, 研究期間(年度):2007-2009","subitem_description_type":"Other"},{"subitem_description":"出典：研究課題「微分差分方程式を利用した超幾何関数の公式の導出」課題番号19740069\n（KAKEN：科学研究費助成事業データベース（国立情報学研究所）） \n（https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-19740069/19740069seika/）を加工して作成","subitem_description_type":"Other"}]},"item_9_description_5":{"attribute_name":"提供者所属","attribute_value_mlt":[{"subitem_description":"金沢大学理工研究域数物科学系","subitem_description_type":"Other"}]},"item_9_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24517/00052347","subitem_identifier_reg_type":"JaLC"}]},"item_9_relation_28":{"attribute_name":"関連URI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/search/?qm=00313635"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/search/?qm=00313635","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19740069/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19740069/","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-19740069/19740069seika/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-19740069/19740069seika/","subitem_relation_type_select":"URI"}}]},"item_9_version_type_25":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"小原, 功任"}],"nameIdentifiers":[{"nameIdentifier":"241","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"00313635","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=00313635"},{"nameIdentifier":"00313635","nameIdentifierScheme":"金沢大学研究者情報","nameIdentifierURI":"http://ridb.kanazawa-u.ac.jp/public/detail.php?kaken=00313635"},{"nameIdentifier":"00313635","nameIdentifierScheme":"研究者番号","nameIdentifierURI":"https://nrid.nii.ac.jp/nrid/1000000313635"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-09-28"}],"displaytype":"detail","filename":"SC-PR-OHARA-K-kaken 2010-4p.pdf","filesize":[{"value":"172.6 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"SC-PR-OHARA-K-kaken 2010-4p.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/46013/files/SC-PR-OHARA-K-kaken 2010-4p.pdf"},"version_id":"4cb0721f-576c-4132-93ef-b9b05bd55d4b"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_title":"微分差分方程式を利用した超幾何関数の公式の導出","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"微分差分方程式を利用した超幾何関数の公式の導出"},{"subitem_title":"Research of hypergeometric differential-difference equations","subitem_title_language":"en"}]},"item_type_id":"9","owner":"18","path":["2824"],"pubdate":{"attribute_name":"公開日","attribute_value":"2018-10-04"},"publish_date":"2018-10-04","publish_status":"0","recid":"46013","relation_version_is_last":true,"title":["微分差分方程式を利用した超幾何関数の公式の導出"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2024-07-01T06:07:56.354158+00:00"}