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They are polynomials in sinusoidal coordinates eta(x) (x is the coordinate of the quantum system) and are expressed in terms of Casorati determinants whose matrix elements are functions of x at various points. By using shape-invariance properties, we derive various equivalent determinant expressions, especially those whose matrix elements are functions of the same point x. 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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": 390700.0, "url": {"label": "ptx051.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/19824/files/ptx051.pdf"}, "version_id": "cb8942cd-3bc1-4916-87f7-1fce103c6a1e"}]}, "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": "New determinant expressions of multi-indexed orthogonal polynomials in discrete quantum mechanics", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "New determinant expressions of multi-indexed orthogonal polynomials in discrete quantum mechanics", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["1170"], "permalink_uri": "http://hdl.handle.net/10091/00020585", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2018-05-08"}, "publish_date": "2018-05-08", "publish_status": "0", "recid": "19824", "relation": {}, "relation_version_is_last": true, "title": ["New determinant expressions of multi-indexed orthogonal polynomials in discrete quantum mechanics"], "weko_shared_id": -1}