{"_buckets": {"deposit": "fe079878-918f-4b3c-874e-6a5f7bddf1cb"}, "_deposit": {"id": "11678", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "11678"}, "status": "published"}, "_oai": {"id": "oai:soar-ir.repo.nii.ac.jp:00011678", "sets": ["1169:1170"]}, "author_link": ["35835", "35836"], "item_1628147817048": {"attribute_name": "\u51fa\u7248\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_ab4af688f83e57aa", "subitem_version_type": "AM"}]}, "item_6_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2015-07", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "7", "bibliographicPageStart": "73502", "bibliographicVolumeNumber": "56", "bibliographic_titles": [{"bibliographic_title": "Journal of Mathematical Physics"}]}]}, "item_6_description_20": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "Several kinds of q-orthogonal polynomials with |q|=1 are constructed as the main parts of the eigenfunctions of new solvable discrete quantum mechanical systems. 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Their orthogonality weight functions consist of quantum dilogarithm functions, which are a natural extension of the Euler gamma functions and the qgamma functions (q-shifted factorials). The dimensions of the orthogonal spaces are finite. These q-orthogonal polynomials are expressed in terms of the Askey-Wilson polynomials and their certain limit forms. 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