{"created":"2023-05-15T11:18:41.836254+00:00","id":50,"links":{},"metadata":{"_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":["1:14:16"]},"author_link":["880"],"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":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifier":""}],"affiliationNames":[{"affiliationName":""}]}],"creatorNames":[{"creatorName":"澤田, 一成","creatorNameLang":"ja"},{"creatorName":"サワダ, カズナリ","creatorNameLang":"ja-Kana"},{"creatorName":"Sawada, Kazunari","creatorNameLang":"en"}],"familyNames":[{},{},{}],"givenNames":[{},{},{}],"nameIdentifiers":[{}]}]},"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'/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.","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","filename":"KJ00005075406.pdf","filesize":[{"value":"101.5 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","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"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-01"},"publish_date":"2008-03-01","publish_status":"0","recid":"50","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_creator_id":"3","weko_shared_id":3},"updated":"2024-04-29T03:44:04.465428+00:00"}