{"id":"https://openalex.org/W2053484004","doi":"https://doi.org/10.1007/bf02124748","title":"Orthogonality properties of linear combinations of orthogonal polynomials","display_name":"Orthogonality properties of linear combinations of orthogonal polynomials","publication_year":1996,"publication_date":"1996-12-01","ids":{"openalex":"https://openalex.org/W2053484004","doi":"https://doi.org/10.1007/bf02124748","mag":"2053484004"},"language":"en","primary_location":{"id":"doi:10.1007/bf02124748","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02124748","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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/A5085654474","display_name":"Francisco Marcell\u00e1n","orcid":"https://orcid.org/0000-0003-4331-4475"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Francisco Marcell\u00e1n","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad Carlos III de Madrid, C. Butarque 15, 28911, Legan\u00e9s-Madrid, Spain","Departamento de Matematicas, Universidad Carlos III de Madrid, Legan\u00e9s-Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad Carlos III de Madrid, C. Butarque 15, 28911, Legan\u00e9s-Madrid, Spain","institution_ids":["https://openalex.org/I50357001"]},{"raw_affiliation_string":"Departamento de Matematicas, Universidad Carlos III de Madrid, Legan\u00e9s-Madrid, Spain","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042081362","display_name":"Franz Peherstorfer","orcid":null},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Franz Peherstorfer","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Johannes Kepler Universit\u00e4t Linz, 4040, Linz-Auhof, Austria","Institut f\u00fcr Mathematik, Johannes Kepler Universit\u00e4t Linz, Linz/Auhof, Austria"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Johannes Kepler Universit\u00e4t Linz, 4040, Linz-Auhof, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Johannes Kepler Universit\u00e4t Linz, Linz/Auhof, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053650943","display_name":"Robert Steinbauer","orcid":null},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Robert Steinbauer","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Johannes Kepler Universit\u00e4t Linz, 4040, Linz-Auhof, Austria","Institut f\u00fcr Mathematik, Johannes Kepler Universit\u00e4t Linz, Linz/Auhof, Austria"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Johannes Kepler Universit\u00e4t Linz, 4040, Linz-Auhof, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Johannes Kepler Universit\u00e4t Linz, Linz/Auhof, Austria","institution_ids":["https://openalex.org/I121883995"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085654474"],"corresponding_institution_ids":["https://openalex.org/I50357001"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.6818,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.89236461,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"5","issue":"1","first_page":"281","last_page":"295"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9954000115394592,"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9940999746322632,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8812147974967957},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.7298072576522827},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.7006160020828247},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.6340230107307434},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5776309967041016},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5561246275901794},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.5172372460365295},{"id":"https://openalex.org/keywords/unit-circle","display_name":"Unit circle","score":0.46946918964385986},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4262591004371643},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4236401319503784},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3207947015762329},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28732532262802124},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1459234058856964}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8812147974967957},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.7298072576522827},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7006160020828247},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.6340230107307434},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5776309967041016},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5561246275901794},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.5172372460365295},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.46946918964385986},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4262591004371643},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4236401319503784},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3207947015762329},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28732532262802124},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1459234058856964},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02124748","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02124748","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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":21,"referenced_works":["https://openalex.org/W592374772","https://openalex.org/W1488668339","https://openalex.org/W1978419358","https://openalex.org/W1990667055","https://openalex.org/W2009091177","https://openalex.org/W2013796135","https://openalex.org/W2026581103","https://openalex.org/W2045463928","https://openalex.org/W2069748277","https://openalex.org/W2070639831","https://openalex.org/W2073291109","https://openalex.org/W2115230342","https://openalex.org/W2121719329","https://openalex.org/W2144236032","https://openalex.org/W2293599327","https://openalex.org/W2320003450","https://openalex.org/W2331293865","https://openalex.org/W2805009704","https://openalex.org/W3020818366","https://openalex.org/W3038165843","https://openalex.org/W3040464464"],"related_works":["https://openalex.org/W2115188219","https://openalex.org/W4280542807","https://openalex.org/W3130526622","https://openalex.org/W4256532491","https://openalex.org/W4287754054","https://openalex.org/W4288725121","https://openalex.org/W3034218783","https://openalex.org/W3097999171","https://openalex.org/W2885676679","https://openalex.org/W4245980862"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}
