{"id":"https://openalex.org/W32214065","doi":"https://doi.org/10.1007/978-3-642-21931-3_21","title":"Laguerre Polynomials in Several Hypercomplex Variables and Their Matrix Representation","display_name":"Laguerre Polynomials in Several Hypercomplex Variables and Their Matrix Representation","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W32214065","doi":"https://doi.org/10.1007/978-3-642-21931-3_21","mag":"32214065"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-21931-3_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-21931-3_21","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10773/15313","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057255594","display_name":"Helmuth R. Malonek","orcid":"https://orcid.org/0000-0003-0830-3316"},"institutions":[{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"H. R. Malonek","raw_affiliation_strings":["Universidade de Aveiro, 3810-193, Aveiro, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade de Aveiro, 3810-193, Aveiro, Portugal","institution_ids":["https://openalex.org/I60858718"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020796668","display_name":"Gra\u00e7a Tomaz","orcid":"https://orcid.org/0000-0003-3725-2247"},"institutions":[{"id":"https://openalex.org/I4210103026","display_name":"Instituto Polit\u00e9cnico da Guarda","ror":"https://ror.org/02463v873","country_code":"PT","type":"education","lineage":["https://openalex.org/I4210103026"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"G. Tomaz","raw_affiliation_strings":["Instituto Polit\u00e9cnico da Guarda, 6300-559, Guarda, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto Polit\u00e9cnico da Guarda, 6300-559, Guarda, Portugal","institution_ids":["https://openalex.org/I4210103026"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.7833,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62358079,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"261","last_page":"270"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9991999864578247,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9991999864578247,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9907000064849854,"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"}},{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hypercomplex-number","display_name":"Hypercomplex number","score":0.844912052154541},{"id":"https://openalex.org/keywords/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.8117833137512207},{"id":"https://openalex.org/keywords/pascal-matrix","display_name":"Pascal matrix","score":0.6666280031204224},{"id":"https://openalex.org/keywords/pascal","display_name":"Pascal (unit)","score":0.6567519903182983},{"id":"https://openalex.org/keywords/polynomial-matrix","display_name":"Polynomial matrix","score":0.6047595739364624},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5462694764137268},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5427156090736389},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47386765480041504},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.4320371747016907},{"id":"https://openalex.org/keywords/matrix-function","display_name":"Matrix function","score":0.3522043824195862},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.325746089220047},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.3023911118507385},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2933117747306824},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.26032426953315735},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.12195059657096863},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08945146203041077},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.060254842042922974},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.05637511610984802}],"concepts":[{"id":"https://openalex.org/C203249530","wikidata":"https://www.wikidata.org/wiki/Q837414","display_name":"Hypercomplex number","level":3,"score":0.844912052154541},{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.8117833137512207},{"id":"https://openalex.org/C183357087","wikidata":"https://www.wikidata.org/wiki/Q7141739","display_name":"Pascal matrix","level":5,"score":0.6666280031204224},{"id":"https://openalex.org/C75608658","wikidata":"https://www.wikidata.org/wiki/Q44395","display_name":"Pascal (unit)","level":2,"score":0.6567519903182983},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.6047595739364624},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5462694764137268},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5427156090736389},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47386765480041504},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.4320371747016907},{"id":"https://openalex.org/C4263655","wikidata":"https://www.wikidata.org/wiki/Q2699958","display_name":"Matrix function","level":4,"score":0.3522043824195862},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.325746089220047},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.3023911118507385},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2933117747306824},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.26032426953315735},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.12195059657096863},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08945146203041077},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.060254842042922974},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.05637511610984802},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-21931-3_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-21931-3_21","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:ria.ua.pt:10773/15313","is_oa":true,"landing_page_url":"http://hdl.handle.net/10773/15313","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference object"}],"best_oa_location":{"id":"pmh:oai:ria.ua.pt:10773/15313","is_oa":true,"landing_page_url":"http://hdl.handle.net/10773/15313","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference object"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W579061","https://openalex.org/W1488435683","https://openalex.org/W1963942310","https://openalex.org/W1993315827","https://openalex.org/W1994479219","https://openalex.org/W2004391469","https://openalex.org/W2017414877","https://openalex.org/W2048937329","https://openalex.org/W2062855693","https://openalex.org/W2222507912","https://openalex.org/W2330608158","https://openalex.org/W2414055905","https://openalex.org/W2559491302","https://openalex.org/W4250589569","https://openalex.org/W4252667840"],"related_works":["https://openalex.org/W4238100916","https://openalex.org/W32214065","https://openalex.org/W2071062829","https://openalex.org/W4252642284","https://openalex.org/W2152092278","https://openalex.org/W4285808133","https://openalex.org/W2054720568","https://openalex.org/W1566089244","https://openalex.org/W2384420927","https://openalex.org/W2147159947"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
