{"updated":"2025-01-22T23:55:53.836484+00:00","metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00016312","sets":["581:920:924"]},"path":["924"],"owner":"1","recid":"16312","title":["xが小さい場合の変形ベッセル関数Kν（x）の数値計算"],"pubdate":{"attribute_name":"公開日","attribute_value":"1980-05-15"},"_buckets":{"deposit":"ec4c4d9f-f44f-40e5-9bfe-ca0e52db9b1d"},"_deposit":{"id":"16312","pid":{"type":"depid","value":"16312","revision_id":0},"owners":[1],"status":"published","created_by":1},"item_title":"xが小さい場合の変形ベッセル関数Kν（x）の数値計算","author_link":["0","0"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"xが小さい場合の変形ベッセル関数Kν（x）の数値計算"},{"subitem_title":"Computation of Modified Bessel Functions Kν (x) with Small Argument 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":"1980-05-15","item_2_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"名古屋大学工学部情報工学"},{"subitem_text_value":"名古屋大学工学部情報工学"}]},"item_2_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Faculty of Engineering, Nagoya University","subitem_text_language":"en"},{"subitem_text_value":"Faculty of Engineering, Nagoya 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/16312/files/IPSJ-JNL2103009.pdf"},"date":[{"dateType":"Available","dateValue":"1982-05-15"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-JNL2103009.pdf","filesize":[{"value":"523.1 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":"5b7e3884-9c31-44dc-8cc5-b86026e4f115","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 1980 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"},{"creatorName":"二宮, 市三"}],"nameIdentifiers":[{}]}]},"item_2_creator_6":{"attribute_name":"著者名(英)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Toshio, Yoshida","creatorNameLang":"en"},{"creatorName":"Ichizo, Ninomiya","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":"Xが小さい場合について 第2種変形ベッセル関数瓦K_ν(x)の新しい数値計算法を提案している.K_ν(x)の定義式K_ν(x)=(π/2)・(I_<-ν>(x)-I_ν(x))/sinνπに 第1種変形ベッセル関数I_ν(x)およびムI_ν(x)のベキ級数展開を代入し 適当に項をまとめ 桁落ちを生ずる部分を所要の精度を有する最良近似式にて計算することにより K_ν(x)を精度良く しかも能率的に計算している.例えば (0 0.5)では ν=0を中心とする展開として得られるK_ν(x)=(π/(2sinνπ))・㊥^^∞__<k=0>｛A_k(ν x)+B_k(ν x)｝により計算を行う.ただし A_k(ν x)の式中には 関数(1/Γ(k+1-ν)-1/Γ(k+1+v))/(k!)を含むが そのまま式どおりに計算を行うと桁落ちを生ずる.そこで これに対する最良近似式を新たに作成し それによりその関数値を計算する.また A_k(ν x)には Φ_1(ν x)=(x/2)^<ν-1>-1およびΦ_2(ν x)=1-(x/2)^νを含むが そのまま計算すると桁落ちを生ずるときには f(t)=e^t-1なる関数の最良近似式によりΦ_1(ν x)=f(-νln(x/2)) Φ_2(ν x)=-f(νln(x/2))として計算を行う.このようにして 桁落ちが無く しかも能率的にK_ν(x)の値を計算する方法を述べている.","subitem_description_type":"Other"}]},"item_2_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"245","bibliographic_titles":[{"bibliographic_title":"情報処理学会論文誌"}],"bibliographicPageStart":"238","bibliographicIssueDates":{"bibliographicIssueDate":"1980-05-15","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicVolumeNumber":"21"}]},"relation_version_is_last":true,"weko_creator_id":"1"},"created":"2025-01-18T22:49:37.199542+00:00","id":16312,"links":{}}