{"id":"https://openalex.org/W2101178175","doi":"https://doi.org/10.1016/s0096-3003(00)00082-5","title":"The Laguerre and Legendre polynomials from an operational point of view","display_name":"The Laguerre and Legendre polynomials from an operational point of view","publication_year":2001,"publication_date":"2001-11-01","ids":{"openalex":"https://openalex.org/W2101178175","doi":"https://doi.org/10.1016/s0096-3003(00)00082-5","mag":"2101178175"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(00)00082-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(00)00082-5","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5064617206","display_name":"G. Dattoli","orcid":"https://orcid.org/0000-0003-0244-8434"},"institutions":[{"id":"https://openalex.org/I110120368","display_name":"National Agency for New Technologies, Energy and Sustainable Economic Development","ror":"https://ror.org/02an8es95","country_code":"IT","type":"funder","lineage":["https://openalex.org/I110120368"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"G Dattoli","raw_affiliation_strings":["ENEA, Dipartimento Innovazione, Divisione Fisica Applicata, Centro Ricerche Frascati, C.P. 65, Via Enrico Fermi 45, 00044 Frascati, Rome, Italy"],"affiliations":[{"raw_affiliation_string":"ENEA, Dipartimento Innovazione, Divisione Fisica Applicata, Centro Ricerche Frascati, C.P. 65, Via Enrico Fermi 45, 00044 Frascati, Rome, Italy","institution_ids":["https://openalex.org/I110120368"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079512627","display_name":"H. M. Srivastava","orcid":"https://orcid.org/0000-0002-9277-8092"},"institutions":[{"id":"https://openalex.org/I110120368","display_name":"National Agency for New Technologies, Energy and Sustainable Economic Development","ror":"https://ror.org/02an8es95","country_code":"IT","type":"funder","lineage":["https://openalex.org/I110120368"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"H.M Srivastava","raw_affiliation_strings":["ENEA, Dipartimento Innovazione, Divisione Fisica Applicata, Centro Ricerche Frascati, C.P. 65, Via Enrico Fermi 45, 00044 Frascati, Rome, Italy"],"affiliations":[{"raw_affiliation_string":"ENEA, Dipartimento Innovazione, Divisione Fisica Applicata, Centro Ricerche Frascati, C.P. 65, Via Enrico Fermi 45, 00044 Frascati, Rome, Italy","institution_ids":["https://openalex.org/I110120368"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080017749","display_name":"Clemente Cesarano","orcid":"https://orcid.org/0000-0002-1694-7907"},"institutions":[{"id":"https://openalex.org/I110120368","display_name":"National Agency for New Technologies, Energy and Sustainable Economic Development","ror":"https://ror.org/02an8es95","country_code":"IT","type":"funder","lineage":["https://openalex.org/I110120368"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"C Cesarano","raw_affiliation_strings":["ENEA, Dipartimento Innovazione, Divisione Fisica Applicata, Centro Ricerche Frascati, C.P. 65, Via Enrico Fermi 45, 00044 Frascati, Rome, Italy"],"affiliations":[{"raw_affiliation_string":"ENEA, Dipartimento Innovazione, Divisione Fisica Applicata, Centro Ricerche Frascati, C.P. 65, Via Enrico Fermi 45, 00044 Frascati, Rome, Italy","institution_ids":["https://openalex.org/I110120368"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064617206"],"corresponding_institution_ids":["https://openalex.org/I110120368"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":2.5218,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.89265983,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"124","issue":"1","first_page":"117","last_page":"127"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.8740000128746033,"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"}},"topics":[{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.8740000128746033,"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/T12508","display_name":"Functional Equations Stability Results","score":0.819599986076355,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.7983999848365784,"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/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.94891357421875},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.853245735168457},{"id":"https://openalex.org/keywords/laguerres-method","display_name":"Laguerre's method","score":0.7376036047935486},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7361037135124207},{"id":"https://openalex.org/keywords/legendre-function","display_name":"Legendre function","score":0.7019156217575073},{"id":"https://openalex.org/keywords/bessel-polynomials","display_name":"Bessel polynomials","score":0.5933607816696167},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5502915978431702},{"id":"https://openalex.org/keywords/associated-legendre-polynomials","display_name":"Associated Legendre polynomials","score":0.5305227041244507},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5239073038101196},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.5131331086158752},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.48612093925476074},{"id":"https://openalex.org/keywords/legendre-wavelet","display_name":"Legendre wavelet","score":0.4780724048614502},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.45848745107650757},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4285666346549988},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.4086166322231293},{"id":"https://openalex.org/keywords/gegenbauer-polynomials","display_name":"Gegenbauer polynomials","score":0.3315759301185608},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32185372710227966},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2825695872306824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19634497165679932},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05535697937011719}],"concepts":[{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.94891357421875},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.853245735168457},{"id":"https://openalex.org/C43475892","wikidata":"https://www.wikidata.org/wiki/Q1171964","display_name":"Laguerre's method","level":4,"score":0.7376036047935486},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7361037135124207},{"id":"https://openalex.org/C153262748","wikidata":"https://www.wikidata.org/wiki/Q17098449","display_name":"Legendre function","level":3,"score":0.7019156217575073},{"id":"https://openalex.org/C73295869","wikidata":"https://www.wikidata.org/wiki/Q4896402","display_name":"Bessel polynomials","level":5,"score":0.5933607816696167},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5502915978431702},{"id":"https://openalex.org/C36956377","wikidata":"https://www.wikidata.org/wiki/Q228376","display_name":"Associated Legendre polynomials","level":5,"score":0.5305227041244507},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5239073038101196},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.5131331086158752},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.48612093925476074},{"id":"https://openalex.org/C123769847","wikidata":"https://www.wikidata.org/wiki/Q6517888","display_name":"Legendre wavelet","level":5,"score":0.4780724048614502},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.45848745107650757},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4285666346549988},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.4086166322231293},{"id":"https://openalex.org/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.3315759301185608},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32185372710227966},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2825695872306824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19634497165679932},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05535697937011719},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.0},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(00)00082-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(00)00082-5","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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":8,"referenced_works":["https://openalex.org/W563505541","https://openalex.org/W1499718604","https://openalex.org/W1662828592","https://openalex.org/W1984738028","https://openalex.org/W2015519924","https://openalex.org/W2035311210","https://openalex.org/W2057730496","https://openalex.org/W6659331340"],"related_works":["https://openalex.org/W2953361964","https://openalex.org/W3130427480","https://openalex.org/W2056877771","https://openalex.org/W3005861762","https://openalex.org/W2025296287","https://openalex.org/W1988418937","https://openalex.org/W1984692426","https://openalex.org/W2053826141","https://openalex.org/W3020087995","https://openalex.org/W3200178185"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
