{"created":"2021-03-01T06:14:35.199697+00:00","id":11689,"links":{},"metadata":{"_buckets":{"deposit":"d0257d84-7cf3-4d2c-beb3-5cd3733abd78"},"_deposit":{"id":"11689","owners":[],"pid":{"revision_id":0,"type":"depid","value":"11689"},"status":"published"},"_oai":{"id":"oai:soar-ir.repo.nii.ac.jp:00011689","sets":["1169:1170"]},"author_link":["35859"],"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":"2015-05","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"209","bibliographicPageStart":"184","bibliographicVolumeNumber":"193","bibliographic_titles":[{"bibliographic_title":"JOURNAL OF APPROXIMATION THEORY"}]}]},"item_6_description_20":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Infinitely many Casoratian identities are derived for the Wilson and Askey–Wilson polynomials in parallel to the Wronskian identities for the Hermite, Laguerre and Jacobi polynomials, which were reported recently by the present authors. These identities form the basis of the equivalence between eigenstate adding and deleting Darboux transformations for solvable (discrete) quantum mechanical systems. Similar identities hold for various reduced form polynomials of the Wilson and Askey–Wilson polynomials, e.g.   the continuous qq-Jacobi, continuous (dual) (qq-)Hahn, Meixner–Pollaczek, Al-Salam–Chihara, continuous (big) qq-Hermite, etc.","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 APPROXIMATION THEORY. 193:184-209 (2015)","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_url":"http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000352676400011"}]},"item_6_publisher_4":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"ACADEMIC PRESS INC ELSEVIER SCIENCE"}]},"item_6_relation_48":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"10.1016/j.jat.2014.04.009"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1016/j.jat.2014.04.009","subitem_relation_type_select":"DOI"}}]},"item_6_rights_62":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Copyright © 2014 Elsevier Inc. All rights reserved."}]},"item_6_source_id_35":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0021-9045","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":"AA0069365X","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Odake,  Satoru"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-05-01"}],"displaytype":"detail","filename":"Casoratian_identities_for_the_Wilson.pdf","filesize":[{"value":"361.7 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"Casoratian_identities_for_the_Wilson.pdf","url":"https://soar-ir.repo.nii.ac.jp/record/11689/files/Casoratian_identities_for_the_Wilson.pdf"},"version_id":"f31fe482-cf70-46b8-9c78-e1845f99cad8"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Askey-Wilson polynomials","subitem_subject_scheme":"Other"},{"subitem_subject":"Wilson polynomials","subitem_subject_scheme":"Other"},{"subitem_subject":"Casoratian identities","subitem_subject_scheme":"Other"},{"subitem_subject":"Discrete quantum mechanics","subitem_subject_scheme":"Other"},{"subitem_subject":"Darboux transformations","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":"Casoratian identities for the Wilson and Askey-Wilson polynomials","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Casoratian identities for the Wilson and Askey-Wilson polynomials","subitem_title_language":"en"}]},"item_type_id":"6","owner":"1","path":["1170"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2015-07-07"},"publish_date":"2015-07-07","publish_status":"0","recid":"11689","relation_version_is_last":true,"title":["Casoratian identities for the Wilson and Askey-Wilson polynomials"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-12-14T04:10:03.135734+00:00"}