{"_buckets": {"deposit": "1b1fb136-ad2f-4f03-98f7-75ca5f6e1838"}, "_deposit": {"id": "19994", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "19994"}, "status": "published"}, "_oai": {"id": "oai:soar-ir.repo.nii.ac.jp:00019994"}, "item_6_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2018-02-19", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "1", "bibliographicPageStart": "12082", "bibliographicVolumeNumber": "936", "bibliographic_titles": [{"bibliographic_title": "Journal of Physics: Conference Series"}]}]}, "item_6_description_20": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "To extend the Bose-Einstein (BE) distribution to fractional order, we turn our attention to the differential equation, df/dx = \u2212f \u2212 f 2. It is satisfied with the stationary solution, f(x) = 1/(e x + \u03bc \u2212 1), of the Kompaneets equation, where \u03bc is the constant chemical potential. Setting R = 1/f, we obtain a linear differential equation for R. Then, the Caputo fractional derivative of order p (p \u003e 0) is introduced in place of the derivative of x, and fractional BE distribution is obtained, where function e x is replaced by the Mittag\u2013Leffler (ML) function Ep(x p ). Using the integral representation of the ML function, we obtain a new formula. Based on the analysis of the NASA COBE monopole data, an identity p sime e \u2212\u03bc is found.", "subitem_description_type": "Abstract"}]}, "item_6_description_30": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7\uff08\u30b3\u30f3\u30c6\u30f3\u30c4\u306e\u7a2e\u985e\uff09", "attribute_value_mlt": [{"subitem_description": "Article", "subitem_description_type": "Other"}]}, "item_6_description_5": {"attribute_name": "\u5f15\u7528", "attribute_value_mlt": [{"subitem_description": "Journal of Physics: Conference Series. 936(1):12082(2018)", "subitem_description_type": "Other"}]}, "item_6_link_3": {"attribute_name": "\u4fe1\u5dde\u5927\u5b66\u7814\u7a76\u8005\u7dcf\u89a7\u3078\u306e\u30ea\u30f3\u30af", "attribute_value_mlt": [{"subitem_link_text": "Biyajima, Minoru", "subitem_link_url": "http://soar-rd.shinshu-u.ac.jp/profile/ja.ZaDNOeyC.html"}]}, "item_6_publisher_4": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "IOP Publishing Ltd"}]}, "item_6_relation_48": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_name": [{"subitem_relation_name_text": "10.1088/1742-6596/936/1/012082"}], "subitem_relation_type_id": {"subitem_relation_type_id_text": "http://dx.doi.org/10.1088/1742-6596/936/1/012082", "subitem_relation_type_select": "DOI"}}]}, "item_6_rights_62": {"attribute_name": "\u6a29\u5229", "attribute_value_mlt": [{"subitem_rights": "Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Published under licence by IOP Publishing Ltd"}]}, "item_6_select_64": {"attribute_name": "\u8457\u8005\u7248\u30d5\u30e9\u30b0", "attribute_value_mlt": [{"subitem_select_item": "author"}]}, "item_6_source_id_35": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "1742-6588", "subitem_source_identifier_type": "ISSN"}]}, "item_6_source_id_39": {"attribute_name": "NII ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "1742-6588", "subitem_source_identifier_type": "ISSN"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Biyajima, Minoru"}], "nameIdentifiers": [{"nameIdentifier": "105959", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Mizoguchi, Takuya"}], "nameIdentifiers": [{"nameIdentifier": "105960", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Suzuki, Naomichi"}], "nameIdentifiers": [{"nameIdentifier": "105961", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-08-08"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "Biyajima_2017_J._Phys.%3A_Conf._Ser._936_012082.pdf", "filesize": [{"value": "408.3 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensefree": "Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. 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Published under licence by IOP Publishing Ltd", "licensetype": "license_free", "mimetype": "application/pdf", "size": 408300.0, "url": {"label": "Biyajima_2017_J._Phys.%3A_Conf._Ser._936_012082.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/19994/files/Biyajima_2017_J._Phys.%3A_Conf._Ser._936_012082.pdf"}, "version_id": "5ec58321-19d6-4e7c-8e48-43b05e9d1eca"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "An analytic relation between the fractional parameter in the Mittag\u2013Leffler function and the chemical potential in the Bose\u2013Einstein distribution through the analysis of the NASA COBE monopole data", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "An analytic relation between the fractional parameter in the Mittag\u2013Leffler function and the chemical potential in the Bose\u2013Einstein distribution through the analysis of the NASA COBE monopole data"}]}, "item_type_id": "6", "owner": "1", "path": ["1169/1170"], "permalink_uri": "http://hdl.handle.net/10091/00020755", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_name_i18n": "\u516c\u958b\u65e5", "attribute_value": "2018-08-08"}, "publish_date": "2018-08-08", "publish_status": "0", "recid": "19994", "relation": {}, "relation_version_is_last": true, "title": ["An analytic relation between the fractional parameter in the Mittag\u2013Leffler function and the chemical potential in the Bose\u2013Einstein distribution through the analysis of the NASA COBE monopole data"], "weko_shared_id": 3}