{"created":"2021-03-01T06:14:35.079116+00:00","id":11687,"links":{},"metadata":{"_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":["1169:1170"]},"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?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=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_source_id_35":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1815-0659","subitem_source_identifier_type":"ISSN"}]},"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","filename":"Properties_of_the_Exceptional.pdf","filesize":[{"value":"482.9 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","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"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2015-07-08"},"publish_date":"2015-07-08","publish_status":"0","recid":"11687","relation_version_is_last":true,"title":["Properties of the Exceptional (X-l) Laguerre and Jacobi Polynomial"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-12-14T04:09:28.877378+00:00"}