{"links":{},"id":11411,"metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00011411","sets":["581:664:665"]},"path":["665"],"owner":"1","recid":"11411","title":["漸化式を用いるベッセル関数Jn（x）の繰返し積分の数値計算法の誤差解析"],"pubdate":{"attribute_name":"公開日","attribute_value":"2002-12-15"},"_buckets":{"deposit":"8bda8ad8-688e-4c3f-838d-808840233624"},"_deposit":{"id":"11411","pid":{"type":"depid","value":"11411","revision_id":0},"owners":[1],"status":"published","created_by":1},"item_title":"漸化式を用いるベッセル関数Jn（x）の繰返し積分の数値計算法の誤差解析","author_link":["0","0"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"漸化式を用いるベッセル関数Jn（x）の繰返し積分の数値計算法の誤差解析"},{"subitem_title":"Error Analysis of Recurrence Technique for the Calculation of Repeated Integral of Bessel Functions Jn(x)","subitem_title_language":"en"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"論文","subitem_subject_scheme":"Other"}]},"item_type_id":"2","publish_date":"2002-12-15","item_2_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"中部大学工学部情報工学科"}]},"item_2_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Department of Computer Science, Chubu University","subitem_text_language":"en"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"publish_status":"0","weko_shared_id":-1,"item_file_price":{"attribute_name":"Billing file","attribute_type":"file","attribute_value_mlt":[{"url":{"url":"https://ipsj.ixsq.nii.ac.jp/record/11411/files/IPSJ-JNL4312048.pdf"},"date":[{"dateType":"Available","dateValue":"2004-12-15"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-JNL4312048.pdf","filesize":[{"value":"160.0 kB"}],"mimetype":"application/pdf","priceinfo":[{"tax":["include_tax"],"price":"660","billingrole":"5"},{"tax":["include_tax"],"price":"330","billingrole":"6"},{"tax":["include_tax"],"price":"0","billingrole":"8"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_date","version_id":"48770f8a-f71b-4693-9ace-ef22bb2c6fcb","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 2002 by the Information Processing Society of Japan"}]},"item_2_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"吉田, 年雄"}],"nameIdentifiers":[{}]}]},"item_2_creator_6":{"attribute_name":"著者名(英)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Toshio, Yoshida","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_2_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN00116647","subitem_source_identifier_type":"NCID"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourceuri":"http://purl.org/coar/resource_type/c_6501","resourcetype":"journal article"}]},"item_2_source_id_11":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1882-7764","subitem_source_identifier_type":"ISSN"}]},"item_2_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"n 次の第1種ベッセル関数 Jn(x) の繰返し積分 fr n(x)（r：積分の回数を表す整数）は，f0 n(x)=Jn(x) とするとき，fr n(x)=∫0x fr-1 n(t)dt}=(2r)/(r-1)!Σ∞k=0(r+k-1)!/k!.Jr+n+2k(x)(r＞1) で表すことができる．漸化式を用いる方法で計算された Jr+n+2k(x)（k=0 1 ...）の近似値を上式の右辺の有限項で打ち切ったものに代入することにより，r＞1 のときの繰返し積分 fr n(x) の近似式を得ることができる．本論文では，この漸化式を用いる fr n(x) の計算法の誤差解析を行い，誤差の有用な評価式を導出している．","subitem_description_type":"Other"}]},"item_2_description_8":{"attribute_name":"論文抄録(英)","attribute_value_mlt":[{"subitem_description":"The repeated integral fr,n(x) of Bessel functions Jn(x) can be expressed by fr,n(x)=(2r)/(r-1)!Σ∞k=0(r+k-1)!/k!.Jr+n+2k(x)}(r＞1). The approximation to fr,n(x) is obtained by substituting approximations to Jr+n+2k(x) computed by recurrence technique into the truncated form of the above expansion.In this paper, we describe the error analysis of this method and give an estimate of error.","subitem_description_type":"Other"}]},"item_2_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"3992","bibliographic_titles":[{"bibliographic_title":"情報処理学会論文誌"}],"bibliographicPageStart":"3986","bibliographicIssueDates":{"bibliographicIssueDate":"2002-12-15","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"12","bibliographicVolumeNumber":"43"}]},"relation_version_is_last":true,"item_2_alternative_title_2":{"attribute_name":"その他タイトル","attribute_value_mlt":[{"subitem_alternative_title":"計算理論"}]},"weko_creator_id":"1"},"created":"2025-01-18T22:46:02.936817+00:00","updated":"2025-01-23T02:15:46.995145+00:00"}