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We show that the newly discovered M-indexed orthogonal polynomials satisfy 3 + 2M term recurrence relations with non-trivial initial data of the lowest M + 1 members. These include the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson, and Askey-Wilson types. 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We show that the newly discovered M-indexed orthogonal polynomials satisfy 3 + 2M term recurrence relations with non-trivial initial data of the lowest M + 1 members. These include the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson, and Askey-Wilson types. The M = 0 case is the corresponding classical orthogonal polynomials. © 2013 AIP Publishing LLC."}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Odake,  Satoru"}], "nameIdentifiers": [{"nameIdentifier": "35917", "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_multi-indexed_orthogonal.pdf", "filesize": [{"value": "265.8 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 265800.0, "url": {"label": "Recurrence_relations_multi-indexed_orthogonal.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/11717/files/Recurrence_relations_multi-indexed_orthogonal.pdf"}, "version_id": "2cb5292b-cbda-4f89-91a9-6dcd75e6e2f6"}]}, "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", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Recurrence relations of the multi-indexed orthogonal polynomials", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["1170"], "permalink_uri": "http://hdl.handle.net/10091/17867", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2014-09-05"}, "publish_date": "2014-09-05", "publish_status": "0", "recid": "11717", "relation": {}, "relation_version_is_last": true, "title": ["Recurrence relations of the multi-indexed orthogonal polynomials"], "weko_shared_id": -1}