{"created":"2023-05-15T08:42:11.372178+00:00","id":6835,"links":{},"metadata":{"_buckets":{"deposit":"2d9d75c3-3273-4273-9ed9-3c75eb478b8a"},"_deposit":{"created_by":3,"id":"6835","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"6835"},"status":"published"},"_oai":{"id":"oai:uec.repo.nii.ac.jp:00006835","sets":["7:64"]},"author_link":["16222"],"control_number":"6835","item_10002_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-02-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"9","bibliographicPageStart":"1","bibliographicVolumeNumber":"28","bibliographic_titles":[{"bibliographic_title":"電気通信大学紀要","bibliographic_titleLang":"ja"}]}]},"item_10002_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Series expansion ln(1 - a) - Lq (a)  is given for the logarithm of the q-shifted factorial (or q- Pochhammer  symbol) defined by infinite product (a; q) := (1 - a)(1 - aq)(1 - aq2 ) … , where Lq (a) := ∑∞(aq)m /[m(1 - qm )] within 0 ≦ a < 1 and 0 ≦ q < 1. The divergent factor 1/(1 - q) is separated from the expansion, and it is found out that the (a; q)∞ as a function of a is damped by this factor as damping coefficient. Moreover, using this expansion, both of the upper and lower bounds of (a; q)∞  are given in terms of dilogarithms. The difference between both of the bounds is estimated less than 0.02.\nWe construct a polynomial approximation on Lq , then estimate remainder term appearing in the approximation, and relate the remainder term to estimated relative error.  This estimated error is compared to the error of numerical experiment in calculation on (a; q)∞ using the polynomial approximation. Both of the errors are consistent each other within the significant digits of the experiment.","subitem_description_type":"Abstract"}]},"item_10002_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"電気通信大学"}]},"item_10002_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0915-0935","subitem_source_identifier_type":"ISSN"}]},"item_10002_version_type_20":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"中井, 日佐司","creatorNameLang":"ja"},{"creatorName":"ナカイ, ヒサシ","creatorNameLang":"ja-Kana"},{"creatorName":"Nakai, Hisashi","creatorNameLang":"en"}],"nameIdentifiers":[{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-11-01"}],"displaytype":"detail","filename":"9000000823.pdf","filesize":[{"value":"544.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"9000000823.pdf","url":"https://uec.repo.nii.ac.jp/record/6835/files/9000000823.pdf"},"version_id":"3e59fbfe-0c4d-4fca-b394-ae61b0add5d5"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"q-shifted factorials","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"q-Pochhammer symbol","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"survival probability","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"remainder term","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"q シフト因子の対数に関するベキ級数展開とその解析","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"q シフト因子の対数に関するベキ級数展開とその解析","subitem_title_language":"ja"},{"subitem_title":"Power Series Expansion and Analysis for Logarithm of q-Shifted Factorial","subitem_title_language":"en"}]},"item_type_id":"10002","owner":"3","path":["64"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2016-02-01"},"publish_date":"2016-02-01","publish_status":"0","recid":"6835","relation_version_is_last":true,"title":["q シフト因子の対数に関するベキ級数展開とその解析"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2024-02-21T06:27:12.677549+00:00"}