{"id":"https://openalex.org/W2074986700","doi":"https://doi.org/10.1007/s11075-013-9807-7","title":"Inequalities for zeros of Jacobi polynomials via Sturm\u2019s theorem: Gautschi\u2019s conjectures","display_name":"Inequalities for zeros of Jacobi polynomials via Sturm\u2019s theorem: Gautschi\u2019s conjectures","publication_year":2013,"publication_date":"2013-12-06","ids":{"openalex":"https://openalex.org/W2074986700","doi":"https://doi.org/10.1007/s11075-013-9807-7","mag":"2074986700"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-013-9807-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-013-9807-7","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/A5068677525","display_name":"Yen Chi Lun","orcid":"https://orcid.org/0000-0002-5918-7549"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Yen Chi Lun","raw_affiliation_strings":["Universidade Estadual de Campinas - UNICAMP, S\u00e3o Jos\u00e9 do Rio Preto, S\u00e3o Paulo, Brazil","Universidade Estadual de Campinas - UNICAMP, S\u00e3o Jos\u00e9 do Rio Preto, Brazil#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade Estadual de Campinas - UNICAMP, S\u00e3o Jos\u00e9 do Rio Preto, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Universidade Estadual de Campinas - UNICAMP, S\u00e3o Jos\u00e9 do Rio Preto, Brazil#TAB#","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008628005","display_name":"Fernando R. Rafaeli","orcid":null},"institutions":[{"id":"https://openalex.org/I879563668","display_name":"Universidade Estadual Paulista (Unesp)","ror":"https://ror.org/00987cb86","country_code":"BR","type":"education","lineage":["https://openalex.org/I879563668"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Fernando Rodrigo Rafaeli","raw_affiliation_strings":["Universidade Estadual Paulista - UNESP, S\u00e3o Jos\u00e9 do Rio Preto, S\u00e3o Paulo, Brazil","Universidade Estadual Paulista \u2013 UNESP, S\u00e3o Jos\u00e9 do Rio Preto, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade Estadual Paulista - UNESP, S\u00e3o Jos\u00e9 do Rio Preto, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I879563668"]},{"raw_affiliation_string":"Universidade Estadual Paulista \u2013 UNESP, S\u00e3o Jos\u00e9 do Rio Preto, Brazil","institution_ids":["https://openalex.org/I879563668"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008628005"],"corresponding_institution_ids":["https://openalex.org/I879563668"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.8513,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72634902,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"67","issue":"3","first_page":"549","last_page":"563"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9997000098228455,"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":0.9997000098228455,"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/T11822","display_name":"Analytic and geometric function theory","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.7379578351974487},{"id":"https://openalex.org/keywords/beta","display_name":"BETA (programming language)","score":0.6686183214187622},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6583205461502075},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5787337422370911},{"id":"https://openalex.org/keywords/alpha","display_name":"Alpha (finance)","score":0.5314276218414307},{"id":"https://openalex.org/keywords/jacobi-polynomials","display_name":"Jacobi polynomials","score":0.4384773373603821},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3275197744369507},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23419928550720215},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.2262745201587677},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06952449679374695}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7379578351974487},{"id":"https://openalex.org/C2776174256","wikidata":"https://www.wikidata.org/wiki/Q830842","display_name":"BETA (programming language)","level":2,"score":0.6686183214187622},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6583205461502075},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5787337422370911},{"id":"https://openalex.org/C64943373","wikidata":"https://www.wikidata.org/wiki/Q2651003","display_name":"Alpha (finance)","level":4,"score":0.5314276218414307},{"id":"https://openalex.org/C48490523","wikidata":"https://www.wikidata.org/wiki/Q371631","display_name":"Jacobi polynomials","level":3,"score":0.4384773373603821},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3275197744369507},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23419928550720215},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.2262745201587677},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06952449679374695},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C49453240","wikidata":"https://www.wikidata.org/wiki/Q1592163","display_name":"Construct validity","level":3,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-013-9807-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-013-9807-7","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"},{"id":"pmh:oai:acervodigital.unesp.br:11449/117661","is_oa":false,"landing_page_url":"http://hdl.handle.net/11449/117661","pdf_url":null,"source":{"id":"https://openalex.org/S4306400256","display_name":"Acervo Digital da Universidade Estadual Paulista (Universidade Estadual Paulista)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210115194","host_organization_name":"Funda\u00e7\u00e3o para o Desenvolvimento da UNESP","host_organization_lineage":["https://openalex.org/I4210115194"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"outro"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1940754725","https://openalex.org/W1972494726","https://openalex.org/W1979535983","https://openalex.org/W1986874378","https://openalex.org/W2031286793","https://openalex.org/W2047342172","https://openalex.org/W2048332691","https://openalex.org/W2073092644","https://openalex.org/W2111079985","https://openalex.org/W2124574067","https://openalex.org/W2161267996","https://openalex.org/W4245333333"],"related_works":["https://openalex.org/W2330083550","https://openalex.org/W2461754875","https://openalex.org/W2467787427","https://openalex.org/W2317701797","https://openalex.org/W986421643","https://openalex.org/W2305072774","https://openalex.org/W2416108297","https://openalex.org/W1970315261","https://openalex.org/W2319809587","https://openalex.org/W3047732266"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}