{"id":"https://openalex.org/W2087295030","doi":"https://doi.org/10.1137/s0036141099359871","title":"Erratum to \"Weighted Zero Distribution For Polynomials Orthogonal on an Infinite Interval\"","display_name":"Erratum to \"Weighted Zero Distribution For Polynomials Orthogonal on an Infinite Interval\"","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2087295030","doi":"https://doi.org/10.1137/s0036141099359871","mag":"2087295030"},"language":"en","primary_location":{"id":"doi:10.1137/s0036141099359871","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141099359871","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"erratum","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/A5036089877","display_name":"Walter Van Assche","orcid":"https://orcid.org/0000-0003-3446-6936"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Walter Van Assche","raw_affiliation_strings":["Katholieke Universiteit \u00adLeuven"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Katholieke Universiteit \u00adLeuven","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036089877"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"5","first_page":"1169","last_page":"1170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9832000136375427,"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":0.9832000136375427,"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":0.9133331775665283},{"id":"https://openalex.org/keywords/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.802575945854187},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.7914643287658691},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.64183509349823},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5802345275878906},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.5741177797317505},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5246762633323669},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5175089836120605},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4682992994785309},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.45415204763412476},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.4512275457382202},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3975505232810974},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38423049449920654},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35654425621032715},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2681679427623749}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9133331775665283},{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.802575945854187},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.7914643287658691},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.64183509349823},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5802345275878906},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.5741177797317505},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5246762633323669},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5175089836120605},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4682992994785309},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.45415204763412476},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.4512275457382202},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3975505232810974},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38423049449920654},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35654425621032715},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2681679427623749},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036141099359871","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141099359871","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","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":3,"referenced_works":["https://openalex.org/W2035288118","https://openalex.org/W2057817591","https://openalex.org/W2081661708"],"related_works":["https://openalex.org/W385902220","https://openalex.org/W1200038076","https://openalex.org/W2091359632","https://openalex.org/W2907902040","https://openalex.org/W1975074263","https://openalex.org/W89606957","https://openalex.org/W2088643735","https://openalex.org/W4386941619","https://openalex.org/W1997701590","https://openalex.org/W3046221473"],"abstract_inverted_index":{"In":[0,71],"[W.":[1,57],"Van":[2,58],"Assche,":[3,59],"SIAM":[4,60],"J.":[5,61],"Math.":[6,62],"Anal.,":[7,63],"16":[8,64],"(1985),":[9,65],"pp.":[10,66],"1317--1334]":[11,67],"the":[12,16,33,54,76,88,91,96],"second":[13,47,81],"term":[14,48,82],"in":[15,49,53,69],"asymptotic":[17],"expansion":[18],"of":[19,35,37,56,93],"Laguerre":[20,42],"polynomials":[21],"(Perron's":[22],"formula)":[23],"was":[24],"computed":[25],"and":[26,43,52,83],"used":[27],"to":[28],"obtain":[29],"some":[30],"information":[31],"about":[32],"rate":[34,92],"convergence":[36,94],"weighted":[38,97],"zero":[39,98],"distributions":[40],"for":[41,79,95],"Hermite":[44],"polynomials.":[45],"This":[46],"Theorem":[50],"2.3":[51],"appendix":[55],"is":[68],"error.":[70],"this":[72,80,86],"note":[73],"we":[74],"give":[75],"correct":[77],"expression":[78],"indicate":[84],"how":[85],"affects":[87],"results":[89],"on":[90],"distributions.":[99]},"counts_by_year":[{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
