{"id":"https://openalex.org/W2516630121","doi":"https://doi.org/10.1016/j.cpc.2016.09.002","title":"Efficient computation of Laguerre polynomials","display_name":"Efficient computation of Laguerre polynomials","publication_year":2016,"publication_date":"2016-09-22","ids":{"openalex":"https://openalex.org/W2516630121","doi":"https://doi.org/10.1016/j.cpc.2016.09.002","mag":"2516630121"},"language":"en","primary_location":{"id":"doi:10.1016/j.cpc.2016.09.002","doi":"https://doi.org/10.1016/j.cpc.2016.09.002","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cpc.2016.09.002","pdf_url":null,"source":{"id":"https://openalex.org/S142305363","display_name":"Computer Physics Communications","issn_l":"0010-4655","issn":["0010-4655","1879-2944"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Physics Communications","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.cpc.2016.09.002","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023121014","display_name":"Amparo Gil","orcid":"https://orcid.org/0000-0002-7449-4205","observed_orcids":["https://orcid.org/0000-0002-7449-4205"]},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]},{"id":"https://openalex.org/I26538001","display_name":"San Diego State University","ror":"https://ror.org/0264fdx42","country_code":"US","type":"education","lineage":["https://openalex.org/I26538001"]}],"countries":["ES","US"],"is_corresponding":true,"raw_author_name":"Amparo Gil","raw_affiliation_strings":["Department of Mathematics and Statistics, San Diego State University, 5500 Campanile Drive, San Diego, CA, USA","Depto. de Matem\u00e1tica Aplicada y Ciencias de la Comput., Universidad de Cantabria, 39005-Santander, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, San Diego State University, 5500 Campanile Drive, San Diego, CA, USA","institution_ids":["https://openalex.org/I26538001"]},{"raw_affiliation_string":"Depto. de Matem\u00e1tica Aplicada y Ciencias de la Comput., Universidad de Cantabria, 39005-Santander, Spain","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060535118","display_name":"Javier Segura","orcid":"https://orcid.org/0000-0002-0841-5636","observed_orcids":["https://orcid.org/0000-0002-0841-5636"]},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]},{"id":"https://openalex.org/I26538001","display_name":"San Diego State University","ror":"https://ror.org/0264fdx42","country_code":"US","type":"education","lineage":["https://openalex.org/I26538001"]}],"countries":["ES","US"],"is_corresponding":false,"raw_author_name":"Javier Segura","raw_affiliation_strings":["Department of Mathematics and Statistics, San Diego State University, 5500 Campanile Drive, San Diego, CA, USA","Depto. de Matem\u00e1ticas, Estad\u00edstica y Comput., Universidad de Cantabria, 39005-Santander, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, San Diego State University, 5500 Campanile Drive, San Diego, CA, USA","institution_ids":["https://openalex.org/I26538001"]},{"raw_affiliation_string":"Depto. de Matem\u00e1ticas, Estad\u00edstica y Comput., Universidad de Cantabria, 39005-Santander, Spain","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034014718","display_name":"Nico \u039c. \u03a4emme","orcid":"https://orcid.org/0000-0002-8394-5223","observed_orcids":["https://orcid.org/0000-0002-8394-5223"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nico M. Temme","raw_affiliation_strings":["IAA, 1825 BD 18, Alkmaar, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IAA, 1825 BD 18, Alkmaar, The Netherlands","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023121014"],"corresponding_institution_ids":["https://openalex.org/I13134134","https://openalex.org/I26538001"],"apc_list":{"value":4160,"currency":"USD","value_usd":4160},"apc_paid":{"value":4160,"currency":"USD","value_usd":4160},"fwci":5.0736,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.94967858,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"210","issue":null,"first_page":"124","last_page":"131"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":1.0,"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":1.0,"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/T13806","display_name":"Mathematical and Computational Methods","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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":0.0,"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/laguerre-polynomials","display_name":"Laguerre polynomials","score":1.0},{"id":"https://openalex.org/keywords/numerical-evaluation-of-special-functions","display_name":"numerical evaluation of special functions","score":0.7570000290870667},{"id":"https://openalex.org/keywords/three-term-recurrence-relation","display_name":"three-term recurrence relation","score":0.9179999828338623},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"asymptotic expansion","score":0.9860000014305115},{"id":"https://openalex.org/keywords/contiguous-relations","display_name":"contiguous relations","score":0.9710000157356262}],"concepts":[{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.9532945156097412},{"id":"https://openalex.org/C2778241615","wikidata":"https://www.wikidata.org/wiki/Q83303","display_name":"Fortran","level":2,"score":0.6221553683280945},{"id":"https://openalex.org/C201292218","wikidata":"https://www.wikidata.org/wiki/Q740970","display_name":"Recurrence relation","level":2,"score":0.5564548969268799},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5271185040473938},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5037009119987488},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4749303460121155},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4537132978439331},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3440566062927246},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34146779775619507},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3075411915779114},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2980009615421295},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23281210660934448},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22507277131080627},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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":7,"locations":[{"id":"doi:10.1016/j.cpc.2016.09.002","doi":"https://doi.org/10.1016/j.cpc.2016.09.002","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cpc.2016.09.002","pdf_url":null,"source":{"id":"https://openalex.org/S142305363","display_name":"Computer Physics Communications","issn_l":"0010-4655","issn":["0010-4655","1879-2944"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Physics Communications","raw_type":"journal-article"},{"id":"pmh:oai:dnet:ucreareposit::df73171c7d21bab87caf506115605381","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10902/11339","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Computer Physics Communications Volume 210, January 2017, Pages 124\u2013131","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:1609.00829","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1609.00829","pdf_url":"https://arxiv.org/pdf/1609.00829","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:cwi:oai:cwi.nl:25208","doi":null,"is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/25208","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Physics Communications, 210, 124 - 131","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:cwi.nl:25208","doi":null,"is_oa":false,"landing_page_url":"https://ir.cwi.nl/pub/25208","pdf_url":null,"source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Physics Communications vol. 210, pp. 124-131","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:repositorio.unican.es:10902/11339","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10902/11339","pdf_url":null,"source":{"id":"https://openalex.org/S4306400398","display_name":"UCrea (University of Cantabria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I13134134","host_organization_name":"Universidad de Cantabria","host_organization_lineage":["https://openalex.org/I13134134"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Physics Communications Volume 210, January 2017, Pages 124\u2013131","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1609.00829","doi":"https://doi.org/10.48550/arxiv.1609.00829","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1609.00829","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1016/j.cpc.2016.09.002","doi":"https://doi.org/10.1016/j.cpc.2016.09.002","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cpc.2016.09.002","pdf_url":null,"source":{"id":"https://openalex.org/S142305363","display_name":"Computer Physics Communications","issn_l":"0010-4655","issn":["0010-4655","1879-2944"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Physics Communications","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1127945210","display_name":null,"funder_award_id":"MTM2012-34787","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G278300207","display_name":null,"funder_award_id":"MTM2012-34787","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G3825852721","display_name":null,"funder_award_id":"MTM2012","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G5448042530","display_name":null,"funder_award_id":"MTM2015-67142-P","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G8068774432","display_name":null,"funder_award_id":"MTM2015","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G8778384979","display_name":null,"funder_award_id":"MTM2015-67142-P","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W590791627","https://openalex.org/W1543082626","https://openalex.org/W1971447654","https://openalex.org/W1987757826","https://openalex.org/W2000510735","https://openalex.org/W2102591969","https://openalex.org/W2124253637","https://openalex.org/W2138075164","https://openalex.org/W2164348911","https://openalex.org/W2164646192","https://openalex.org/W2170706425","https://openalex.org/W4303083268"],"related_works":["https://openalex.org/W1979488839","https://openalex.org/W2952907118","https://openalex.org/W4300011479","https://openalex.org/W4390670062","https://openalex.org/W1891138428","https://openalex.org/W2149973313","https://openalex.org/W1972385661","https://openalex.org/W2963869659","https://openalex.org/W4299365817","https://openalex.org/W2315587880"],"abstract_inverted_index":{"An":[0],"efficient":[1],"algorithm":[2,135],"and":[3,25,35,55],"a":[4,66,118],"Fortran":[5,108],"90":[6,109],"module":[7,80],"(LaguerrePol)":[8],"for":[9,32,82,142,159],"computing":[10,83,143,160],"Laguerre":[11,113,162],"polynomials":[12,24,114],"Ln(\u03b1)(z)":[13,86,115,163],"are":[14,38,164],"presented.":[15],"The":[16,134,154],"standard":[17],"three-term":[18],"recurrence":[19,140],"relation":[20],"satisfied":[21,59],"by":[22,60,104],"the":[23,42,52,56,61,79,84,88,144,149,161],"different":[26],"types":[27],"of":[28,48,111,121,151],"asymptotic":[29,137],"expansions":[30,138],"valid":[31],"n":[33,58],"large":[34],"\u03b1":[36,54],"small,":[37],"used":[39],"depending":[40,147],"on":[41,46,148],"parameter":[43,53,89,157],"region.":[44],"Based":[45],"tests":[47],"contiguous":[49],"relations":[50,141],"in":[51,87,117,123],"degree":[57],"polynomials,":[62],"we":[63],"claim":[64],"that":[65],"relative":[67],"accuracy":[68],"close":[69],"to":[70],"or":[71,139],"better":[72],"than":[73],"10\u221212":[74],"can":[75],"be":[76],"obtained":[77],"using":[78],"LaguerrePol":[81,97],"functions":[85],"range":[90,150],"z\u22650,":[91,165],"\u22121<\u03b1\u22645,":[92,166],"n\u22650.":[93,167],"Program":[94,98],"Title:":[95],"Module":[96],"Files":[99],"doi:http://dx.doi.org/10.17632/3jkk659cn8.1":[100],"Licensing":[101],"provisions:":[102],"CC":[103],"4.0":[105],"Programming":[106],"language:":[107],"Nature":[110],"problem:":[112],"appear":[116],"vast":[119],"number":[120],"applications":[122],"physics,":[124,130],"such":[125],"as":[126],"quantum":[127],"mechanics,":[128],"plasma":[129],"etc.":[131],"Solution":[132],"method:":[133],"uses":[136],"function":[145],"values":[146],"parameters.":[152],"Restrictions:":[153],"admissible":[155],"input":[156],"ranges":[158]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}