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They are derived as the eigenfunctions of shape invariant and thus exactly solvable quantum mechanical Hamiltonians. which are deformations of those for the Wilson and Askey-Wilson polynomials in terms of a degree l (l = 1, 2 ....) eigenpolynomial. 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They are derived as the eigenfunctions of shape invariant and thus exactly solvable quantum mechanical Hamiltonians. which are deformations of those for the Wilson and Askey-Wilson polynomials in terms of a degree l (l = 1, 2 ....) eigenpolynomial. These polynomials are exceptional in the sense that they start from degree l \u003e= 1 and thus not constrained by any generalisation of Bochner\u0027s theorem. (C) 2009 Elsevier B.V. All rights reserved."}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Odake,  Satoru"}], "nameIdentifiers": [{"nameIdentifier": "36184", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Sasaki,  Ryu"}], "nameIdentifiers": [{"nameIdentifier": "36185", "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": "Infinitely_many_shape_invariant_discrete_quantum_mechanical.pdf", "filesize": [{"value": "191.5 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 191500.0, "url": {"label": "Infinitely_many_shape_invariant_discrete_quantum_mechanical.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/11809/files/Infinitely_many_shape_invariant_discrete_quantum_mechanical.pdf"}, "version_id": "77560004-57c5-4731-8580-97818dfdf94e"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "Shape invariance", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Exceptional orthogonal polynomials", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Discrete quantum mechanics", "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": "Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["1170"], "permalink_uri": "http://hdl.handle.net/10091/16123", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2012-12-05"}, "publish_date": "2012-12-05", "publish_status": "0", "recid": "11809", "relation": {}, "relation_version_is_last": true, "title": ["Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials"], "weko_shared_id": -1}