{"created":"2023-06-20T13:00:02.630020+00:00","id":4115,"links":{},"metadata":{"_buckets":{"deposit":"e42e70d2-33d8-4731-9d58-aa7dadb4a85d"},"_deposit":{"created_by":2,"id":"4115","owners":[2],"pid":{"revision_id":0,"type":"depid","value":"4115"},"status":"published"},"_oai":{"id":"oai:fun.repo.nii.ac.jp:00004115","sets":["22:28","25:81:102"]},"author_link":["79","57"],"item_5_biblio_info_5":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2015-03","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"117","bibliographicPageStart":"95","bibliographicVolumeNumber":"32","bibliographic_titles":[{"bibliographic_title":"Japan Journal of Industrial and Applied Mathematics"}]}]},"item_5_description_3":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"This paper proposes a new method of convergence acceleration of series expansion of complex functions which are analytic on and inside the unit circle in the complex plane. This class of complex functions may have some singularities outside the unit circle, which dominate convergence of series expansion. In the proposed method, the singular points are moved away from the origin using conformal mapping, and the function is expanded using a sequence of polynomials orthogonalized on the boundary of the mapped complex domain. The decay rate of coefficients of the orthogonal polynomial expansion can be related to the convergence region in a similar form to the Cauchy–Hadamard formula for power series. Using this relation, we quantitatively evaluate and maximize the convergence rate of the improved series. Numerical examples demonstrate that the proposed method is effective for slow convergent series, and may converge faster than Padé approximants.","subitem_description_type":"Abstract"}]},"item_5_publisher_17":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Springer"}]},"item_5_select_10":{"attribute_name":"単著共著","attribute_value_mlt":[{"subitem_select_item":"共著/joint"}]},"item_5_select_8":{"attribute_name":"査読有無","attribute_value_mlt":[{"subitem_select_item":"あり/yes"}]},"item_5_select_9":{"attribute_name":"研究業績種別","attribute_value_mlt":[{"subitem_select_item":"原著論文/Original Paper"}]},"item_5_source_id_6":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"09167005","subitem_source_identifier_type":"ISSN"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"metadata only access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_14cb"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Murashige, Sunao"}],"nameIdentifiers":[{"nameIdentifier":"57","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"40302749","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=40302749"}]},{"creatorNames":[{"creatorName":"Tanaka, Ken'ichiro"}],"nameIdentifiers":[{"nameIdentifier":"79","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"70610640","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=70610640"},{"nameIdentifier":"0000-0003-0359-0969","nameIdentifierScheme":"ORCIDID","nameIdentifierURI":"https://orcid.org/0000-0003-0359-0969"}]}]},"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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"A new method of convergence acceleration of series expansion for analytic functions in the complex domain","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"A new method of convergence acceleration of series expansion for analytic functions in the complex domain"}]},"item_type_id":"5","owner":"2","path":["28","102"],"pubdate":{"attribute_name":"公開日","attribute_value":"2015-03-26"},"publish_date":"2015-03-26","publish_status":"0","recid":"4115","relation_version_is_last":true,"title":["A new method of convergence acceleration of series expansion for analytic functions in the complex domain"],"weko_creator_id":"2","weko_shared_id":-1},"updated":"2023-06-20T13:31:01.916431+00:00"}