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In this paper, we present (conjectures of) the recurrence relations with constant coefficients for these multi-indexed orthogonal polynomials. 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This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. \u003cbr/\u003eThe following article appeared in JOURNAL OF MATHEMATICAL PHYSICS. 56(5):053506 (2015) and may be found at https://doi.org/10.1063/1.4921230"}]}, "item_6_select_64": {"attribute_name": "著者版フラグ", "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": "書誌レコードID", "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": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Odake,  Satoru"}], "nameIdentifiers": [{"nameIdentifier": "35860", "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": "Recurrence_relations_of_the_multi-indexed.pdf", "filesize": [{"value": "276.9 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "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": "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. 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