{"created":"2021-03-01T06:22:55.237060+00:00","id":19820,"links":{},"metadata":{"_buckets":{"deposit":"9a48f0a1-d51b-49c4-bf0f-49b93b2a0314"},"_deposit":{"id":"19820","owners":[],"pid":{"revision_id":0,"type":"depid","value":"19820"},"status":"published"},"_oai":{"id":"oai:soar-ir.repo.nii.ac.jp:00019820","sets":["1169:1170"]},"author_link":["105510"],"item_1628147817048":{"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_6_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-02","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageStart":"023514","bibliographicVolumeNumber":"57","bibliographic_titles":[{"bibliographic_title":"JOURNAL OF MATHEMATICAL PHYSICS"}]}]},"item_6_description_20":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In Paper II, we presented conjectures of the recurrence relations with constant coefficients for the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson, and Askey-Wilson types. In this paper we present a proof for the Laguerre and Jacobi cases. Their bispectral properties are also discussed, which gives a method to obtain the coefficients of the recurrence relations explicitly. This paper extends to the Laguerre and Jacobi cases the bispectral techniques recently introduced by Gomez-Ullate et al. [J. Approx. Theory 204, 1 (2016); e-print arXiv: 1506.03651 [math. CA]] to derive explicit expressions for the coefficients of the recurrence relations satisfied by exceptional polynomials of Hermite type. (C) 2016 AIP Publishing LLC.","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":"JOURNAL OF MATHEMATICAL PHYSICS. 57(2):023514 (2016)","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=000371620000076"}]},"item_6_publisher_4":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"AMER INST PHYSICS"}]},"item_6_relation_48":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"10.1063/1.4941087"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1063/1.4941087","subitem_relation_type_select":"DOI"}}]},"item_6_rights_62":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2016 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. / The following article appeared in JOURNAL OF MATHEMATICAL PHYSICS. 57(2):023514 (2016) and may be found at (https://doi.org/10.1063/1.4941087)."}]},"item_6_source_id_35":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0022-2488","subitem_source_identifier_type":"ISSN"}]},"item_6_source_id_40":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00701758","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Odake, Satoru"}],"nameIdentifiers":[{"nameIdentifier":"105510","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":"2018-05-08"}],"displaytype":"detail","filename":"1509.08213v2.pdf","filesize":[{"value":"287.7 kB"}],"format":"application/pdf","licensefree":"© 2016 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. / The following article appeared in JOURNAL OF MATHEMATICAL PHYSICS. 57(2):023514 (2016) and may be found at (https://doi.org/10.1063/1.4941087).","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"1509.08213v2.pdf","url":"https://soar-ir.repo.nii.ac.jp/record/19820/files/1509.08213v2.pdf"},"version_id":"a1b1f5a7-6ef5-470c-b74d-51caee23d3c1"}]},"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":"Recurrence relations of the multi-indexed orthogonal polynomials. III","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Recurrence relations of the multi-indexed orthogonal polynomials. III","subitem_title_language":"en"}]},"item_type_id":"6","owner":"1","path":["1170"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2018-05-08"},"publish_date":"2018-05-08","publish_status":"0","recid":"19820","relation_version_is_last":true,"title":["Recurrence relations of the multi-indexed orthogonal polynomials. III"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-12-14T04:16:20.341448+00:00"}