{"_buckets": {"deposit": "4a730d2d-cfc1-4b38-9bb4-97ae2153bd59"}, "_deposit": {"id": "8186", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "8186"}, "status": "published"}, "_oai": {"id": "oai:kitami-it.repo.nii.ac.jp:00008186", "sets": ["1"]}, "item_3_biblio_info_186": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2007", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "1", "bibliographicPageEnd": "126", "bibliographicPageStart": "113", "bibliographicVolumeNumber": "59", "bibliographic_titles": [{"bibliographic_title": "Journal of the Mathematical Society of Japan"}]}]}, "item_3_description_184": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "Two-by-two matrix functions, which are the lifts of the local solutions of the matrix hypergeometric differential equation of SL \nSL\n type at 0,1,\u221e \n0,1,\u221e\n to the upper half plane by the lambda function, are introduced. Each component of these matrix functions is represented by a definite integral with a power product of theta functions as integrand, which we call in this paper Wirtinger integral. Transformations of the matrix functions under some modular transformations are established by exploiting classical formulas of theta functions. These are regarded as formulas of monodromy or connection of the hypergeometric function of Gauss.", "subitem_description_type": "Abstract"}]}, "item_3_full_name_183": {"attribute_name": "\u8457\u8005\u5225\u540d", "attribute_value_mlt": [{"nameIdentifiers": [{"nameIdentifier": "44870", "nameIdentifierScheme": "WEKO"}, {"nameIdentifier": "1000020274433 ", "nameIdentifierScheme": "NRID", "nameIdentifierURI": "http://rns.nii.ac.jp/d/nr/1000020274433 "}], "names": [{"name": "\u6e21\u8fba, \u6587\u5f66"}]}]}, "item_3_link_221": {"attribute_name": "\u95a2\u9023\u30b5\u30a4\u30c8", "attribute_value_mlt": [{"subitem_link_url": "https://projecteuclid.org/euclid.jmsj/1180135503"}]}, "item_3_publisher_212": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Mathematical Society of Japan"}]}, "item_3_rights_192": {"attribute_name": "\u6a29\u5229", "attribute_value_mlt": [{"subitem_rights": "c2007 Mathematical Society of Japan"}]}, "item_3_select_195": {"attribute_name": "\u8457\u8005\u7248\u30d5\u30e9\u30b0", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "item_3_subject_196": {"attribute_name": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "attribute_value_mlt": [{"subitem_subject": "410", "subitem_subject_scheme": "NDC"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "WATANABE, Humihiko"}], "nameIdentifiers": [{"nameIdentifier": "42921", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2016-11-22"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "2007_Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations.pdf", "filesize": [{"value": "211.3 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 211300.0, "url": {"label": "2007_Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations.pdf", "url": "https://kitami-it.repo.nii.ac.jp/record/8186/files/2007_Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations.pdf"}, "version_id": "a8d53f8a-2678-4864-8383-935d7384b8b2"}]}, "item_keyword": {"attribute_name": "\u30ad\u30fc\u30ef\u30fc\u30c9", "attribute_value_mlt": [{"subitem_subject": "hypergeometric function", "subitem_subject_scheme": "Other"}, {"subitem_subject": "monodromy", "subitem_subject_scheme": "Other"}, {"subitem_subject": "connection matrix", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Wirtinger integral", "subitem_subject_scheme": "Other"}, {"subitem_subject": "theta function", "subitem_subject_scheme": "Other"}, {"subitem_subject": "modular transformation", "subitem_subject_scheme": "Other"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations"}]}, "item_type_id": "3", "owner": "1", "path": ["1"], "permalink_uri": "https://kitami-it.repo.nii.ac.jp/records/8186", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2016-06-23"}, "publish_date": "2016-06-23", "publish_status": "0", "recid": "8186", "relation": {}, "relation_version_is_last": true, "title": ["Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations"], "weko_shared_id": 3}