{"id":"https://openalex.org/W1620056035","doi":"https://doi.org/10.1023/a:1019147900265","title":"Birkhoff interpolation on unity and on M\u00f6bius transform of the roots of unity","display_name":"Birkhoff interpolation on unity and on M\u00f6bius transform of the roots of unity","publication_year":2000,"publication_date":"2000-04-01","ids":{"openalex":"https://openalex.org/W1620056035","doi":"https://doi.org/10.1023/a:1019147900265","mag":"1620056035"},"language":"en","primary_location":{"id":"doi:10.1023/a:1019147900265","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1019147900265","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109160949","display_name":"Marcel G. de Bruin","orcid":null},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"M.G. de Bruin","raw_affiliation_strings":["Department of Applied Mathematical Analysis, Delft University of Technology, P.O. Box 5031, 2600 GA, Delft, The Netherlands","Department of Applied Mathematical Analysis, Delft University of Technology, Delft, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematical Analysis, Delft University of Technology, P.O. Box 5031, 2600 GA, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Department of Applied Mathematical Analysis, Delft University of Technology, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045692007","display_name":"H. P. Dikshit","orcid":null},"institutions":[{"id":"https://openalex.org/I234615573","display_name":"Rani Durgavati University","ror":"https://ror.org/032kth403","country_code":"IN","type":"education","lineage":["https://openalex.org/I234615573"]},{"id":"https://openalex.org/I152391192","display_name":"Madhya Pradesh Bhoj Open University","ror":"https://ror.org/02j3w7f30","country_code":"IN","type":"education","lineage":["https://openalex.org/I152391192"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"H.P. Dikshit","raw_affiliation_strings":["M.P. Bhoj (Open) University, Bhopal, India, 462016","R.D. University, Jabalpur, India, 482001","R.D. University, Jabalpur, India","M.P. Bhoj (Open) University, Bhopal, India"],"affiliations":[{"raw_affiliation_string":"M.P. Bhoj (Open) University, Bhopal, India, 462016","institution_ids":["https://openalex.org/I152391192"]},{"raw_affiliation_string":"R.D. University, Jabalpur, India, 482001","institution_ids":["https://openalex.org/I234615573"]},{"raw_affiliation_string":"R.D. University, Jabalpur, India","institution_ids":["https://openalex.org/I234615573"]},{"raw_affiliation_string":"M.P. Bhoj (Open) University, Bhopal, India","institution_ids":["https://openalex.org/I152391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112082611","display_name":"A. Sharma","orcid":"https://orcid.org/0009-0004-2121-3790"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"A. Sharma","raw_affiliation_strings":["Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada, T6G 2G1","Department of Mathematical Sciences, University of Alberta, Edmonton, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada, T6G 2G1","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"Department of Mathematical Sciences, University of Alberta, Edmonton, Canada","institution_ids":["https://openalex.org/I154425047"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5109160949"],"corresponding_institution_ids":["https://openalex.org/I98358874"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5842,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.61211086,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"23","issue":"1","first_page":"115","last_page":"125"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9689000248908997,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9581000208854675,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8562018871307373},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7191920280456543},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5795988440513611},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44657742977142334},{"id":"https://openalex.org/keywords/root-of-unity","display_name":"Root of unity","score":0.4268926680088043},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.42295634746551514},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4031243622303009},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35107553005218506},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33786246180534363},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3217737674713135},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16017839312553406},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06410977244377136},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.04862985014915466}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8562018871307373},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7191920280456543},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5795988440513611},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44657742977142334},{"id":"https://openalex.org/C206343339","wikidata":"https://www.wikidata.org/wiki/Q756747","display_name":"Root of unity","level":3,"score":0.4268926680088043},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.42295634746551514},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4031243622303009},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35107553005218506},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33786246180534363},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3217737674713135},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16017839312553406},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06410977244377136},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04862985014915466},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1019147900265","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1019147900265","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1933533904","https://openalex.org/W2186953920","https://openalex.org/W2316064426"],"related_works":["https://openalex.org/W1605474017","https://openalex.org/W2393398774","https://openalex.org/W1028547170","https://openalex.org/W2015464280","https://openalex.org/W2138705068","https://openalex.org/W2473718011","https://openalex.org/W2950931607","https://openalex.org/W1891383398","https://openalex.org/W2081844875","https://openalex.org/W3103649668"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}