{"_buckets": {"deposit": "25afaa7b-e843-4c4c-a04a-f6961380d5fe"}, "_deposit": {"id": "11690", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "11690"}, "status": "published"}, "_oai": {"id": "oai:soar-ir.repo.nii.ac.jp:00011690"}, "item_6_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2015-05", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "5", "bibliographicPageStart": "53506", "bibliographicVolumeNumber": "56", "bibliographic_titles": [{"bibliographic_title": "Journal of mathematical physics"}]}]}, "item_6_description_20": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "In a previous paper, we presented 3 + 2M term recurrence relations with variable dependent coefficients for M-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson, and Askey-Wilson types. In this paper, we present (conjectures of) the recurrence relations with constant coefficients for these multi-indexed orthogonal polynomials. The simplest recurrence relations have 3 + 2\u2113 terms, where \u2113\u2009(\u2265M) is the degree of the lowest member of the multi-indexed orthogonal polynomials.", "subitem_description_type": "Abstract"}]}, "item_6_description_30": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7\uff08\u30b3\u30f3\u30c6\u30f3\u30c4\u306e\u7a2e\u985e\uff09", "attribute_value_mlt": [{"subitem_description": "Article", "subitem_description_type": "Other"}]}, "item_6_description_5": {"attribute_name": "\u5f15\u7528", "attribute_value_mlt": [{"subitem_description": "JOURNAL OF MATHEMATICAL PHYSICS. 56(5):053506 (2015)", "subitem_description_type": "Other"}]}, "item_6_link_3": {"attribute_name": "\u4fe1\u5dde\u5927\u5b66\u7814\u7a76\u8005\u7dcf\u89a7\u3078\u306e\u30ea\u30f3\u30af", "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=000355920800035"}]}, "item_6_publisher_4": {"attribute_name": "\u51fa\u7248\u8005", "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": "10.1063/1.4921230"}], "subitem_relation_type_id": {"subitem_relation_type_id_text": "http://dx.doi.org/10.1063/1.4921230", "subitem_relation_type_select": "DOI"}}]}, "item_6_rights_62": {"attribute_name": "\u6a29\u5229", "attribute_value_mlt": [{"subitem_rights": "\u00a92015 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. \nThe following article appeared in JOURNAL OF MATHEMATICAL PHYSICS. 56(5):053506 (2015) and may be found at http://dx.doi.org/10.1063/1.4921230"}]}, "item_6_select_64": {"attribute_name": "\u8457\u8005\u7248\u30d5\u30e9\u30b0", "attribute_value_mlt": [{"subitem_select_item": "author"}]}, "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_39": {"attribute_name": "NII ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0022-2488", "subitem_source_identifier_type": "ISSN"}]}, "item_6_source_id_40": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "attribute_value_mlt": [{"subitem_source_identifier": "AA00701758", "subitem_source_identifier_type": "NCID"}]}, "item_6_text_70": {"attribute_name": "wosonly keywords", "attribute_value_mlt": [{"subitem_text_value": "EXCEPTIONAL LAGUERRE-POLYNOMIALS; DISCRETE QUANTUM-MECHANICS; DARBOUX TRANSFORMATIONS; CRUMS THEOREM; POTENTIALS; SYSTEMS"}]}, "item_6_textarea_68": {"attribute_name": "wosonly abstract", "attribute_value_mlt": [{"subitem_textarea_value": "In a previous paper, we presented 3 + 2M term recurrence relations with variable dependent coefficients for M-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson, and Askey-Wilson types. In this paper, we present (conjectures of) the recurrence relations with constant coefficients for these multi-indexed orthogonal polynomials. The simplest recurrence relations have 3 + 2l terms, where l (\u003e= M) is the degree of the lowest member of the multi-indexed orthogonal polynomials. (C) 2015 AIP Publishing LLC."}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Odake,  Satoru"}], "nameIdentifiers": [{"nameIdentifier": "35860", "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": "2015-09-28"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "Recurrence_relations_of_the_multi-indexed.pdf", "filesize": [{"value": "276.9 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 276900.0, "url": {"label": "Recurrence_relations_of_the_multi-indexed.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/11690/files/Recurrence_relations_of_the_multi-indexed.pdf"}, "version_id": "f5c372fd-711b-4bbf-8d1c-ff7203f91ee5"}]}, "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": "Recurrence relations of the multi-indexed orthogonal polynomials. II", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Recurrence relations of the multi-indexed orthogonal polynomials. II"}]}, "item_type_id": "6", "owner": "1", "path": ["1169/1170"], "permalink_uri": "http://hdl.handle.net/10091/18498", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_name_i18n": "\u516c\u958b\u65e5", "attribute_value": "2015-07-07"}, "publish_date": "2015-07-07", "publish_status": "0", "recid": "11690", "relation": {}, "relation_version_is_last": true, "title": ["Recurrence relations of the multi-indexed orthogonal polynomials. II"], "weko_shared_id": null}