{"_buckets": {"deposit": "363728d5-579c-4fb2-9aee-c18d7c981805"}, "_deposit": {"id": "11687", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "11687"}, "status": "published"}, "_oai": {"id": "oai:soar-ir.repo.nii.ac.jp:00011687", "sets": ["1170"]}, "author_link": ["35854", "35855", "35856"], "item_1628147817048": {"attribute_name": "出版タイプ", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_970fb48d4fbd8a85", "subitem_version_type": "VoR"}]}, "item_6_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2011", "bibliographicIssueDateType": "Issued"}, "bibliographicPageStart": "107", "bibliographicVolumeNumber": "7", "bibliographic_titles": [{"bibliographic_title": "SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS"}]}]}, "item_6_description_20": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "We present various results on the properties of the four infinite sets of the exceptional Xl polynomials discovered recently by Odake and Sasaki [Phys. Lett. B 679 (2009), 414-417; Phys. Lett. B 684 (2010), 173-176]. These Xl polynomials are global solutions of second order Fuchsian differential equations with l+3 regular singularities and their confluent limits. We derive equivalent but much simpler looking forms of the Xl polynomials. The other subjects discussed in detail are: factorisation of the Fuchsian differential operators, shape invariance, the forward and backward shift operations, invariant polynomial subspaces under the Fuchsian differential operators, the Gram-Schmidt orthonormalisation procedure, three term recurrence relations and the generating functions for the Xl polynomials.", "subitem_description_type": "Abstract"}]}, "item_6_description_30": {"attribute_name": "資源タイプ（コンテンツの種類）", "attribute_value_mlt": [{"subitem_description": "Article", "subitem_description_type": "Other"}]}, "item_6_description_5": {"attribute_name": "引用", "attribute_value_mlt": [{"subitem_description": "SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. 7:107 (2011)", "subitem_description_type": "Other"}]}, "item_6_link_3": {"attribute_name": "信州大学研究者総覧へのリンク", "attribute_value_mlt": [{"subitem_link_text": "Odake, Satoru", "subitem_link_url": "http://soar-rd.shinshu-u.ac.jp/profile/ja.uhLeuUkV.html"}]}, "item_6_link_67": {"attribute_name": "WoS", "attribute_value_mlt": [{"subitem_link_text": "Web of Science", "subitem_link_url": "http://gateway.isiknowledge.com/gateway/Gateway.cgi?\u0026GWVersion=2\u0026SrcAuth=ShinshuUniv\u0026SrcApp=ShinshuUniv\u0026DestLinkType=FullRecord\u0026DestApp=WOS\u0026KeyUT=000297327000001"}]}, "item_6_publisher_4": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "NATL ACAD SCI UKRAINE, INST MATH"}]}, "item_6_relation_48": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_name": [{"subitem_relation_name_text": "10.3842/SIGMA.2011.107"}], "subitem_relation_type_id": {"subitem_relation_type_id_text": "https://doi.org/10.3842/SIGMA.2011.107", "subitem_relation_type_select": "DOI"}}]}, "item_6_select_64": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "item_6_source_id_35": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "1815-0659", "subitem_source_identifier_type": "ISSN"}]}, "item_6_source_id_39": {"attribute_name": "NII ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "1815-0659", "subitem_source_identifier_type": "ISSN"}]}, "item_6_text_69": {"attribute_name": "wosonly authkey", "attribute_value_mlt": [{"subitem_text_value": "exceptional orthogonal polynomials; Gram-Schmidt process; Rodrigues formulas; generating functions"}]}, "item_6_text_70": {"attribute_name": "wosonly keywords", "attribute_value_mlt": [{"subitem_text_value": "ORTHOGONAL POLYNOMIALS; SUPERSYMMETRY; POTENTIALS; SYSTEMS"}]}, "item_6_textarea_68": {"attribute_name": "wosonly abstract", "attribute_value_mlt": [{"subitem_textarea_value": "We present various results on the properties of the four infinite sets of the exceptional X-l polynomials discovered recently by Odake and Sasaki [Phys. Lett. B 679 (2009), 414-417; Phys. Lett. B 684 (2010), 173-176]. These X-l polynomials are global solutions of second order Fuchsian differential equations with l + 3 regular singularities and their confluent limits. We derive equivalent but much simpler looking forms of the X-l polynomials. The other subjects discussed in detail are: factorisation of the Fuchsian differential operators, shape invariance, the forward and backward shift operations, invariant polynomial subspaces under the Fuchsian differential operators, the Gram-Schmidt orthonormalisation procedure, three term recurrence relations and the generating functions for the X-l polynomials."}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Ho,  Choon Lin"}], "nameIdentifiers": [{"nameIdentifier": "35854", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Odake,  Satoru"}], "nameIdentifiers": [{"nameIdentifier": "35855", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Sasaki,  Ryu"}], "nameIdentifiers": [{"nameIdentifier": "35856", "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": "2015-09-28"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "Properties_of_the_Exceptional.pdf", "filesize": [{"value": "482.9 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 482900.0, "url": {"label": "Properties_of_the_Exceptional.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/11687/files/Properties_of_the_Exceptional.pdf"}, "version_id": "17c4270b-bc67-4186-8862-bd508be4ca57"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "exceptional orthogonal polynomials", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Gram-Schmidt process", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Rodrigues formulas", "subitem_subject_scheme": "Other"}, {"subitem_subject": "generating functions", "subitem_subject_scheme": "Other"}]}, "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": "Properties of the Exceptional (X-l) Laguerre and Jacobi Polynomial", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Properties of the Exceptional (X-l) Laguerre and Jacobi Polynomial", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["1170"], "permalink_uri": "http://hdl.handle.net/10091/18501", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2015-07-08"}, "publish_date": "2015-07-08", "publish_status": "0", "recid": "11687", "relation": {}, "relation_version_is_last": true, "title": ["Properties of the Exceptional (X-l) Laguerre and Jacobi Polynomial"], "weko_shared_id": -1}