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Odake and R. Sasaki, J. Phys. A 46, 245201 (2013) and S. Odake and R. Sasaki, J. Approx. Theory 193, 184 (2015)], the Wronskian identities for the Hermite, Laguerre, and Jacobi polynomials and the Casoratian identities for the Askey-Wilson polynomial and its reduced-form polynomials were presented. These identities are naturally derived through quantum-mechanical formulation of the classical orthogonal polynomials: ordinary quantum mechanics for the former and discrete quantum mechanics with pure imaginary shifts for the latter. In this paper we present the corresponding identities for the discrete quantum mechanics with real shifts. 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Published by Oxford University Press on behalf of the Physical Society of Japan. / This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.", "licensetype": "license_note", "mimetype": "application/pdf", "size": 342400.0, "url": {"label": "ptx165.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/19825/files/ptx165.pdf"}, "version_id": "1a19978e-ce67-48d3-82b3-8bf44886a519"}]}, "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 discrete orthogonal polynomials in discrete quantum mechanics with real shifts", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Casoratian identities for the discrete orthogonal polynomials in discrete quantum mechanics with real shifts", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["1170"], "permalink_uri": "http://hdl.handle.net/10091/00020586", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2018-05-08"}, "publish_date": "2018-05-08", "publish_status": "0", "recid": "19825", "relation": {}, "relation_version_is_last": true, "title": ["Casoratian identities for the discrete orthogonal polynomials in discrete quantum mechanics with real shifts"], "weko_shared_id": -1}