{"id":"https://openalex.org/W2068288710","doi":"https://doi.org/10.1007/s11075-008-9184-9","title":"Connection coefficients between orthogonal polynomials and the canonical sequence: an approach based on symbolic computation","display_name":"Connection coefficients between orthogonal polynomials and the canonical sequence: an approach based on symbolic computation","publication_year":2008,"publication_date":"2008-03-01","ids":{"openalex":"https://openalex.org/W2068288710","doi":"https://doi.org/10.1007/s11075-008-9184-9","mag":"2068288710"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-008-9184-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-008-9184-9","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/A5051244506","display_name":"P. Maroni","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P. Maroni","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions \u2013 CNRS, Universit\u00e9 Pierre et Marie Curie, Boite courrier 187, 75252, Paris cedex 05, France","Universite Pierre et Marie Curie"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions \u2013 CNRS, Universit\u00e9 Pierre et Marie Curie, Boite courrier 187, 75252, Paris cedex 05, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210158291"]},{"raw_affiliation_string":"Universite Pierre et Marie Curie","institution_ids":["https://openalex.org/I39804081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073547563","display_name":"Z\u00e9lia da Rocha","orcid":"https://orcid.org/0000-0003-4189-9043"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Z. da Rocha","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada \u2013 CMUP, Faculdade de Ci\u00eancias da Universidade do Porto, Rua do Campo Alegre n.687, 4169 - 007, Porto, Portugal","Faculdade de Ci\u00eancias da Universidade Do Porto"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada \u2013 CMUP, Faculdade de Ci\u00eancias da Universidade do Porto, Rua do Campo Alegre n.687, 4169 - 007, Porto, Portugal","institution_ids":["https://openalex.org/I182534213"]},{"raw_affiliation_string":"Faculdade de Ci\u00eancias da Universidade Do Porto","institution_ids":["https://openalex.org/I182534213"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5073547563"],"corresponding_institution_ids":["https://openalex.org/I182534213"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":1.2252,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.77028317,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"47","issue":"3","first_page":"291","last_page":"314"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9984999895095825,"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":0.9984999895095825,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.7968496084213257},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.730624794960022},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.7129834890365601},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.7117853164672852},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.7047441005706787},{"id":"https://openalex.org/keywords/recurrence-relation","display_name":"Recurrence relation","score":0.6872297525405884},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6848849058151245},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6594458222389221},{"id":"https://openalex.org/keywords/jacobi-polynomials","display_name":"Jacobi polynomials","score":0.6085960865020752},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5351430177688599},{"id":"https://openalex.org/keywords/gegenbauer-polynomials","display_name":"Gegenbauer polynomials","score":0.462038516998291},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4166012406349182},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3831935524940491},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34237849712371826},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.3330859839916229},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28865858912467957},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24990996718406677},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1203339695930481},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0816543698310852}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7968496084213257},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.730624794960022},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.7129834890365601},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.7117853164672852},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7047441005706787},{"id":"https://openalex.org/C201292218","wikidata":"https://www.wikidata.org/wiki/Q740970","display_name":"Recurrence relation","level":2,"score":0.6872297525405884},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6848849058151245},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6594458222389221},{"id":"https://openalex.org/C48490523","wikidata":"https://www.wikidata.org/wiki/Q371631","display_name":"Jacobi polynomials","level":3,"score":0.6085960865020752},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5351430177688599},{"id":"https://openalex.org/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.462038516998291},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4166012406349182},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3831935524940491},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34237849712371826},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.3330859839916229},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28865858912467957},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24990996718406677},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1203339695930481},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0816543698310852},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-008-9184-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-008-9184-9","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":27,"referenced_works":["https://openalex.org/W1489988510","https://openalex.org/W1506933769","https://openalex.org/W1966268321","https://openalex.org/W1992561428","https://openalex.org/W1992738230","https://openalex.org/W2013285498","https://openalex.org/W2014428457","https://openalex.org/W2039900906","https://openalex.org/W2042786864","https://openalex.org/W2046062960","https://openalex.org/W2068850857","https://openalex.org/W2080899720","https://openalex.org/W2105909866","https://openalex.org/W2137957939","https://openalex.org/W2521551834","https://openalex.org/W2608381693","https://openalex.org/W2682055264","https://openalex.org/W2754930999","https://openalex.org/W2801179766","https://openalex.org/W3010782316","https://openalex.org/W3038165843","https://openalex.org/W4206159550","https://openalex.org/W4230130226","https://openalex.org/W4230533591","https://openalex.org/W4242849907","https://openalex.org/W4300223101","https://openalex.org/W6806143046"],"related_works":["https://openalex.org/W2493096353","https://openalex.org/W2793709684","https://openalex.org/W1896660781","https://openalex.org/W2489863694","https://openalex.org/W225326886","https://openalex.org/W2045154321","https://openalex.org/W2072647369","https://openalex.org/W4298399453","https://openalex.org/W1835390889","https://openalex.org/W4287597771"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
