{"_buckets": {"deposit": "4ef8da6a-c6ec-4541-b68f-4e74ffb51239"}, "_deposit": {"created_by": 3, "id": "12753", "owners": [3], "pid": {"revision_id": 0, "type": "depid", "value": "12753"}, "status": "published"}, "_oai": {"id": "oai:ir.kagoshima-u.ac.jp:00012753", "sets": ["36", "5335"]}, "author_link": ["86021", "86019", "86018", "86016", "86020", "86017"], "item_7_alternative_title_18": {"attribute_name": "別言語のタイトル", "attribute_value_mlt": [{"subitem_alternative_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"}]}, "item_7_biblio_info_5": {"attribute_name": "収録雑誌名", "attribute_value_mlt": [{"bibliographicPageEnd": "131", "bibliographicPageStart": "91", "bibliographicVolumeNumber": "15", "bibliographic_titles": [{"bibliographic_title": "鹿児島大学工学部研究報告"}]}]}, "item_7_date_6": {"attribute_name": "作成日", "attribute_value_mlt": [{"subitem_date_issued_datetime": "1973-09-30"}]}, "item_7_description_4": {"attribute_name": "要約(Abstract)", "attribute_value_mlt": [{"subitem_description": "The solutions of the Bessel equation･･･[omitted] \nare discussed in detail. The modified Bessel Functions K_ν(x) and I_ν(x) are the two independent\nsolutions of above equation when the order is purely imaginary, i.e., ν=is. The value of the function\nK_{is}(x) is real while the value of the function I_{is}(x) is complex for real s and x. Hence a new real\nfunction M_{is}(x) is introduced in place of the complex function I_{is}(x).\nSome series expansions for K_{is}(x) and M_{is}(x) are given. The possibility to compute the value\nof these functions and their derivatives by the use of their series expansions are discussed and a\npractical procedure with the accuracy of the eight decimal places is presented. Short tables for\nK_{is}(x) and M_{is}(x) and their related functions are given.\nSome related formulas with K_{is}(x) are also collected.", "subitem_description_type": "Other"}]}, "item_7_full_name_2": {"attribute_name": "著者よみ", "attribute_value_mlt": [{"nameIdentifiers": [{"nameIdentifier": "86018", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "ムラシマ, サダユキ"}]}, {"nameIdentifiers": [{"nameIdentifier": "86019", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "キヨノ, タケシ"}]}]}, "item_7_full_name_3": {"attribute_name": "別言語の著者", "attribute_value_mlt": [{"nameIdentifiers": [{"nameIdentifier": "86020", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "村島, 定行"}]}, {"nameIdentifiers": [{"nameIdentifier": "86021", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "清野, 武"}]}]}, "item_7_publisher_23": {"attribute_name": "公開者・出版者", "attribute_value_mlt": [{"subitem_publisher": "鹿児島大学"}]}, "item_7_source_id_7": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0451212X", "subitem_source_identifier_type": "ISSN"}]}, "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_text_24": {"attribute_name": "公開者よみ", "attribute_value_mlt": [{"subitem_text_value": "カゴシマ ダイガク"}]}, "item_7_text_25": {"attribute_name": "公開者別名", "attribute_value_mlt": [{"subitem_text_value": "Kagoshima University"}]}, "item_7_text_30": {"attribute_name": "NIIタイプ", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "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"}], "nameIdentifiers": [{"nameIdentifier": "86016", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "KIYONO, Takeshi"}], "nameIdentifiers": [{"nameIdentifier": "86017", "nameIdentifierScheme": "WEKO"}]}]}, "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", "download_preview_message": "", "file_order": 0, "filename": "AN00040363_v15_p91-131.pdf", "filesize": [{"value": "60.4 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 60400000.0, "url": {"label": "AN00040363_v15_p91-131.pdf", "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"}]}, "item_type_id": "7", "owner": "3", "path": ["36", "5335"], "permalink_uri": "http://hdl.handle.net/10232/12787", "pubdate": {"attribute_name": "公開日", "attribute_value": "2012-04-09"}, "publish_date": "2012-04-09", "publish_status": "0", "recid": "12753", "relation": {}, "relation_version_is_last": true, "title": ["Modified Bessel Functions of Purely Imaginary Order K_{is}(x), I_{is}(x) and their Related Functions"], "weko_shared_id": 3}