WEKO3
アイテム
{"_buckets": {"deposit": "fc6b63c9-5710-489f-bfc8-928420db3436"}, "_deposit": {"created_by": 3, "id": "50", "owners": [3], "pid": {"revision_id": 0, "type": "depid", "value": "50"}, "status": "published"}, "_oai": {"id": "oai:metro-cit.repo.nii.ac.jp:00000050", "sets": ["16"]}, "author_link": ["880", "995", "881"], "item_1_biblio_info_14": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2008-03", "bibliographicIssueDateType": "Issued"}, "bibliographicPageEnd": "89", "bibliographicPageStart": "84", "bibliographicVolumeNumber": "2", "bibliographic_titles": [{"bibliographic_title": "東京都立産業技術高等専門学校研究紀要"}, {"bibliographic_title": "Research reports of Tokyo Metropolitan College of Industrial Technology", "bibliographic_titleLang": "en"}]}]}, "item_1_creator_6": {"attribute_name": "著者名(日)", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "澤田, 一成"}, {"creatorName": "サワダ, カズナリ", "creatorNameLang": "ja-Kana"}], "nameIdentifiers": [{"nameIdentifier": "880", "nameIdentifierScheme": "WEKO"}]}]}, "item_1_creator_7": {"attribute_name": "著者名よみ", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "サワダ, カズナリ"}], "nameIdentifiers": [{"nameIdentifier": "995", "nameIdentifierScheme": "WEKO"}]}]}, "item_1_creator_8": {"attribute_name": "著者名(英)", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Sawada, Kazunari", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "881", "nameIdentifierScheme": "WEKO"}]}]}, "item_1_description_1": {"attribute_name": "ページ属性", "attribute_value_mlt": [{"subitem_description": "P(論文)", "subitem_description_type": "Other"}]}, "item_1_description_12": {"attribute_name": "抄録(英)", "attribute_value_mlt": [{"subitem_description": "In the value distribution theory of meromorphic functions, the relative growth of a given function and its derivative playsa very important role. Since R. Nevanlinna proved the importance of the logarithmic derivative f\u0027/f of a meromorphicfunction f in his theory of value distribution in 1925, a number of interesting results of the relative growth of meromorphic functions and their derivatives have been found out. Furthermore, many mathematicians have recently investigated the value distribution of the differential `polynomials\u0027 with respect to meromorphic functions. In 1973, Gopalakrishna andBhoosnurmath gave some estimations of the relative growth of meromorphic functions and their homogeneous differentialpolynomials. However their results have an unnecessary condition; the `homogeneousness\u0027 of the polynomials. In this paper we consider all differential polynomials of transcendental meromorphic functions on the complex plane, and we give some ( upper and lower ) estimations of comparative growth of the characteristic functions of meromorphic functions and theirdifferential polynomials. Our results extend the result of Gopalakrishna and Bhoosnurmath.", "subitem_description_type": "Other"}]}, "item_1_source_id_13": {"attribute_name": "雑誌書誌ID", "attribute_value_mlt": [{"subitem_source_identifier": "AA12210629", "subitem_source_identifier_type": "NCID"}]}, "item_1_text_9": {"attribute_name": "著者所属(日)", "attribute_value_mlt": [{"subitem_text_value": "東京都立産業技術高等専門学校"}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2008-03-01"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "KJ00005075406.pdf", "filesize": [{"value": "101.5 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_11", "mimetype": "application/pdf", "size": 101500.0, "url": {"label": "KJ00005075406", "url": "https://metro-cit.repo.nii.ac.jp/record/50/files/KJ00005075406.pdf"}, "version_id": "70e2afd8-50ea-4f6f-9152-3e368948722a"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "Nevanlinna theory", "subitem_subject_language": "en", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Value distirbution", "subitem_subject_language": "en", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Differential polynomials", "subitem_subject_language": "en", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Characteristic functions", "subitem_subject_language": "en", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Comparative growth", "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": "有理型函数の微分多項式の値分布について", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "有理型函数の微分多項式の値分布について"}, {"subitem_title": "On value distribution of differential polynomials of meromorphic functions", "subitem_title_language": "en"}]}, "item_type_id": "1", "owner": "3", "path": ["16"], "permalink_uri": "https://metro-cit.repo.nii.ac.jp/records/50", "pubdate": {"attribute_name": "公開日", "attribute_value": "2008-03-01"}, "publish_date": "2008-03-01", "publish_status": "0", "recid": "50", "relation": {}, "relation_version_is_last": true, "title": ["有理型函数の微分多項式の値分布について"], "weko_shared_id": 3}
有理型函数の微分多項式の値分布について
https://metro-cit.repo.nii.ac.jp/records/50
https://metro-cit.repo.nii.ac.jp/records/501039f731-d295-4050-9883-c5702f6f20c5
名前 / ファイル | ライセンス | アクション |
---|---|---|
KJ00005075406 (101.5 kB)
|
Item type | 紀要論文(ELS) / Departmental Bulletin Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2008-03-01 | |||||
タイトル | ||||||
タイトル | 有理型函数の微分多項式の値分布について | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | On value distribution of differential polynomials of meromorphic functions | |||||
言語 | ||||||
言語 | jpn | |||||
キーワード | ||||||
言語 | en | |||||
主題 | Nevanlinna theory | |||||
キーワード | ||||||
言語 | en | |||||
主題 | Value distirbution | |||||
キーワード | ||||||
言語 | en | |||||
主題 | Differential polynomials | |||||
キーワード | ||||||
言語 | en | |||||
主題 | Characteristic functions | |||||
キーワード | ||||||
言語 | en | |||||
主題 | Comparative growth | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
ページ属性 | ||||||
内容記述タイプ | Other | |||||
内容記述 | P(論文) | |||||
著者名(日) |
澤田, 一成
× 澤田, 一成 |
|||||
著者名よみ |
サワダ, カズナリ
× サワダ, カズナリ |
|||||
著者名(英) |
Sawada, Kazunari
× Sawada, Kazunari |
|||||
著者所属(日) | ||||||
東京都立産業技術高等専門学校 | ||||||
抄録(英) | ||||||
内容記述タイプ | Other | |||||
内容記述 | In the value distribution theory of meromorphic functions, the relative growth of a given function and its derivative playsa very important role. Since R. Nevanlinna proved the importance of the logarithmic derivative f'/f of a meromorphicfunction f in his theory of value distribution in 1925, a number of interesting results of the relative growth of meromorphic functions and their derivatives have been found out. Furthermore, many mathematicians have recently investigated the value distribution of the differential `polynomials' with respect to meromorphic functions. In 1973, Gopalakrishna andBhoosnurmath gave some estimations of the relative growth of meromorphic functions and their homogeneous differentialpolynomials. However their results have an unnecessary condition; the `homogeneousness' of the polynomials. In this paper we consider all differential polynomials of transcendental meromorphic functions on the complex plane, and we give some ( upper and lower ) estimations of comparative growth of the characteristic functions of meromorphic functions and theirdifferential polynomials. Our results extend the result of Gopalakrishna and Bhoosnurmath. | |||||
雑誌書誌ID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA12210629 | |||||
書誌情報 |
東京都立産業技術高等専門学校研究紀要 en : Research reports of Tokyo Metropolitan College of Industrial Technology 巻 2, p. 84-89, 発行日 2008-03 |