{"id":"https://openalex.org/W1986495266","doi":"https://doi.org/10.1007/s11075-008-9162-2","title":"Interlacing of the zeros of Jacobi polynomials with different parameters","display_name":"Interlacing of the zeros of Jacobi polynomials with different parameters","publication_year":2008,"publication_date":"2008-02-08","ids":{"openalex":"https://openalex.org/W1986495266","doi":"https://doi.org/10.1007/s11075-008-9162-2","mag":"1986495266"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-008-9162-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-008-9162-2","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/A5108256540","display_name":"Kathy Driver","orcid":null},"institutions":[{"id":"https://openalex.org/I157614274","display_name":"University of Cape Town","ror":"https://ror.org/03p74gp79","country_code":"ZA","type":"education","lineage":["https://openalex.org/I157614274"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"Kathy Driver","raw_affiliation_strings":["Department of Mathematics and Applied Mathematics, University of Cape Town, Private Bag X3, Rondebosch, 7701, Cape Town, South Africa","University of Cape Town)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, University of Cape Town, Private Bag X3, Rondebosch, 7701, Cape Town, South Africa","institution_ids":["https://openalex.org/I157614274"]},{"raw_affiliation_string":"University of Cape Town)","institution_ids":["https://openalex.org/I157614274"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066669567","display_name":"Kerstin Jordaan","orcid":"https://orcid.org/0000-0002-1675-5366"},"institutions":[{"id":"https://openalex.org/I69552723","display_name":"University of Pretoria","ror":"https://ror.org/00g0p6g84","country_code":"ZA","type":"education","lineage":["https://openalex.org/I69552723"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Kerstin Jordaan","raw_affiliation_strings":["Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, 0002, South Africa","University of Pretoria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, 0002, South Africa","institution_ids":["https://openalex.org/I69552723"]},{"raw_affiliation_string":"University of Pretoria","institution_ids":["https://openalex.org/I69552723"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036307399","display_name":"Norbert Mbuyi","orcid":null},"institutions":[{"id":"https://openalex.org/I69552723","display_name":"University of Pretoria","ror":"https://ror.org/00g0p6g84","country_code":"ZA","type":"education","lineage":["https://openalex.org/I69552723"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Norbert Mbuyi","raw_affiliation_strings":["Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, 0002, South Africa","University of Pretoria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, 0002, South Africa","institution_ids":["https://openalex.org/I69552723"]},{"raw_affiliation_string":"University of Pretoria","institution_ids":["https://openalex.org/I69552723"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108256540"],"corresponding_institution_ids":["https://openalex.org/I157614274"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.3572,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.93967702,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"49","issue":"1-4","first_page":"143","last_page":"152"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9988999962806702,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/interlacing","display_name":"Interlacing","score":0.968258261680603},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.812349796295166},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6120615005493164},{"id":"https://openalex.org/keywords/jacobi-polynomials","display_name":"Jacobi polynomials","score":0.6046364903450012},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5059689879417419},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41371607780456543},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.40040040016174316},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16866713762283325},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08293944597244263}],"concepts":[{"id":"https://openalex.org/C95439218","wikidata":"https://www.wikidata.org/wiki/Q1666173","display_name":"Interlacing","level":2,"score":0.968258261680603},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.812349796295166},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6120615005493164},{"id":"https://openalex.org/C48490523","wikidata":"https://www.wikidata.org/wiki/Q371631","display_name":"Jacobi polynomials","level":3,"score":0.6046364903450012},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5059689879417419},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41371607780456543},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.40040040016174316},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16866713762283325},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08293944597244263},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-008-9162-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-008-9162-2","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1964031410","https://openalex.org/W1967564355","https://openalex.org/W1997164424","https://openalex.org/W2005317564","https://openalex.org/W2009091177","https://openalex.org/W2032828740","https://openalex.org/W2120094609","https://openalex.org/W2572060421","https://openalex.org/W3038165843","https://openalex.org/W4211057282","https://openalex.org/W4242849907"],"related_works":["https://openalex.org/W2489863694","https://openalex.org/W2353026275","https://openalex.org/W4297612202","https://openalex.org/W2949498383","https://openalex.org/W1651872008","https://openalex.org/W2493096353","https://openalex.org/W1652500118","https://openalex.org/W2099676275","https://openalex.org/W2793709684","https://openalex.org/W4294834596"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}