{"created":"2023-07-25T08:12:24.770482+00:00","id":12753,"links":{},"metadata":{"_buckets":{"deposit":"4ef8da6a-c6ec-4541-b68f-4e74ffb51239"},"_deposit":{"created_by":18,"id":"12753","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"12753"},"status":"published"},"_oai":{"id":"oai:ir.kagoshima-u.ac.jp:00012753","sets":["228:273:5335","35:36"]},"author_link":[],"item_7_biblio_info_5":{"attribute_name":"収録雑誌名","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1973-09","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"131","bibliographicPageStart":"91","bibliographicVolumeNumber":"15","bibliographic_titles":[{"bibliographic_title":"鹿児島大学工学部研究報告","bibliographic_titleLang":"ja"},{"bibliographic_title":"The Research Reports of the Faculty of Engineering, Kagoshima University","bibliographic_titleLang":"en"}]}]},"item_7_date_6":{"attribute_name":"作成日","attribute_value_mlt":[{"subitem_date_issued_datetime":"1973-09","subitem_date_issued_type":"Issued"}]},"item_7_description_4":{"attribute_name":"要約(Abstract)","attribute_value_mlt":[{"subitem_description":"The solutions of the Bessel equation･･･[omitted]  are discussed in detail. The modified Bessel Functions K_ν(x) and I_ν(x) are the two independent solutions of above equation when the order is purely imaginary, i.e., ν=is. The value of the function K_{is}(x) is real while the value of the function I_{is}(x) is complex for real s and x. Hence a new real function M_{is}(x) is introduced in place of the complex function I_{is}(x). Some series expansions for K_{is}(x) and M_{is}(x) are given. The possibility to compute the value of these functions and their derivatives by the use of their series expansions are discussed and a practical procedure with the accuracy of the eight decimal places is presented. Short tables for K_{is}(x) and M_{is}(x) and their related functions are given. Some related formulas with K_{is}(x) are also collected.","subitem_description_language":"en","subitem_description_type":"Other"}]},"item_7_publisher_23":{"attribute_name":"公開者・出版者","attribute_value_mlt":[{"subitem_publisher":"鹿児島大学","subitem_publisher_language":"ja"},{"subitem_publisher":"Kagoshima University","subitem_publisher_language":"en"}]},"item_7_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0451212X","subitem_source_identifier_type":"PISSN"}]},"item_7_source_id_9":{"attribute_name":"NII書誌ID","attribute_value_mlt":[{"subitem_source_identifier":"AN00040363","subitem_source_identifier_type":"NCID"}]},"item_7_subject_15":{"attribute_name":"NDC","attribute_value_mlt":[{"subitem_subject":"413","subitem_subject_scheme":"NDC"}]},"item_7_version_type_14":{"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":"MURASHIMA, Sadayuki","creatorNameLang":"en"},{"creatorName":"村島, 定行","creatorNameLang":"ja"}]},{"creatorNames":[{"creatorName":"KIYONO, Takeshi","creatorNameLang":"en"},{"creatorName":"清野, 武","creatorNameLang":"ja"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-10-31"}],"displaytype":"detail","filename":"AN00040363_v15_p91-131.pdf","filesize":[{"value":"60.4 MB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"label":"AN00040363_v15_p91-131.pdf","objectType":"fulltext","url":"https://ir.kagoshima-u.ac.jp/record/12753/files/AN00040363_v15_p91-131.pdf"},"version_id":"c6ce11ba-dc14-42c4-bbcc-92627401c41b"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"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":"Modified Bessel Functions of Purely Imaginary Order K_{is}(x), I_{is}(x) and their Related Functions","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Modified Bessel Functions of Purely Imaginary Order K_{is}(x), I_{is}(x) and their Related Functions","subitem_title_language":"en"},{"subitem_title":"虚数の次数の変形ベッセル関数K_{is}(x),I_{is}(x)及びそれらに関連した関数","subitem_title_language":"ja"}]},"item_type_id":"7","owner":"18","path":["36","5335"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2012-04-09"},"publish_date":"2012-04-09","publish_status":"0","recid":"12753","relation_version_is_last":true,"title":["Modified Bessel Functions of Purely Imaginary Order K_{is}(x), I_{is}(x) and their Related Functions"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2024-02-20T05:03:43.784736+00:00"}