{"id":"https://openalex.org/W1998169372","doi":"https://doi.org/10.1006/jsco.1998.0340","title":"The Fourth-order Difference Equation Satisfied by the Associated Orthogonal Polynomials of the \u0394 -Laguerre\u2013Hahn Class","display_name":"The Fourth-order Difference Equation Satisfied by the Associated Orthogonal Polynomials of the \u0394 -Laguerre\u2013Hahn Class","publication_year":1999,"publication_date":"1999-12-01","ids":{"openalex":"https://openalex.org/W1998169372","doi":"https://doi.org/10.1006/jsco.1998.0340","mag":"1998169372"},"language":"en","primary_location":{"id":"doi:10.1006/jsco.1998.0340","doi":"https://doi.org/10.1006/jsco.1998.0340","is_oa":true,"landing_page_url":"https://doi.org/10.1006/jsco.1998.0340","pdf_url":null,"source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"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":"Journal of Symbolic Computation","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1006/jsco.1998.0340","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071370543","display_name":"M. Foupouagnigni","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mama Foupouagnigni","raw_affiliation_strings":["Universit\u00e9 de Yuoind\u00e9 I, Ecole Normale Sup\u00e9rieure, D\u00e9partement de Math\u00e9matiques, BP 47, Yuoind\u00e9, Cameroun"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Yuoind\u00e9 I, Ecole Normale Sup\u00e9rieure, D\u00e9partement de Math\u00e9matiques, BP 47, Yuoind\u00e9, Cameroun","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005968838","display_name":"Mahouton Norbert Hounkonnou","orcid":"https://orcid.org/0000-0002-6231-4975","observed_orcids":["https://orcid.org/0000-0002-6231-4975"]},"institutions":[{"id":"https://openalex.org/I4210123509","display_name":"Institute of Mathematics and Physics","ror":"https://ror.org/035seyp42","country_code":"BJ","type":"facility","lineage":["https://openalex.org/I4210123509"]}],"countries":["BJ"],"is_corresponding":false,"raw_author_name":"M.Norbert Hounkonnou","raw_affiliation_strings":["Institut de Math\u00e9matiques et de Sciences Physiques, B.P. 613, Porto-Novo, B\u00e9nin","Institut de Math\u00e9matiques et de Sciences Physiques, B.P. 613, Porto-Novo, B\u00e9nin#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques et de Sciences Physiques, B.P. 613, Porto-Novo, B\u00e9nin","institution_ids":["https://openalex.org/I4210123509"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques et de Sciences Physiques, B.P. 613, Porto-Novo, B\u00e9nin#TAB#","institution_ids":["https://openalex.org/I4210123509"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069178392","display_name":"A. Ronveaux","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I149768937","display_name":"University of Namur","ror":"https://ror.org/03d1maw17","country_code":"BE","type":"education","lineage":["https://openalex.org/I149768937"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 Ronveaux","raw_affiliation_strings":["Facult\u00e9s Universitaires Notre-Dame de la Paix. Rue de Bruxelles 61, B-5000, Namur, Belgium","Facult\u00e9s Universitaires Notre-Dame de la Paix   rue de Bruxelles 61, B  5000 Namur, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facult\u00e9s Universitaires Notre-Dame de la Paix. Rue de Bruxelles 61, B-5000, Namur, Belgium","institution_ids":["https://openalex.org/I149768937"]},{"raw_affiliation_string":"Facult\u00e9s Universitaires Notre-Dame de la Paix   rue de Bruxelles 61, B  5000 Namur, Belgium","institution_ids":["https://openalex.org/I149768937"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3160,"currency":"USD","value_usd":3160},"apc_paid":null,"fwci":2.6406,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.87671882,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"28","issue":"6","first_page":"801","last_page":"818"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9984999895095825,"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":0.9984999895095825,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11435","display_name":"Polynomial and algebraic computation","score":9.999999747378752e-05,"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/fourth-order-difference-equations","display_name":"fourth-order difference equations","score":0.7940000295639038},{"id":"https://openalex.org/keywords/stieltjes-functions","display_name":"Stieltjes functions","score":0.9769999980926514},{"id":"https://openalex.org/keywords/linear-functionals","display_name":"linear functionals","score":0.8130000233650208},{"id":"https://openalex.org/keywords/meixner-polynomials","display_name":"Meixner polynomials","score":0.9649999737739563},{"id":"https://openalex.org/keywords/charlier-polynomials","display_name":"Charlier polynomials","score":0.9990000128746033},{"id":"https://openalex.org/keywords/krawtchouk-polynomials","display_name":"Krawtchouk polynomials","score":1.0},{"id":"https://openalex.org/keywords/hahn-polynomials","display_name":"Hahn polynomials","score":0.9309999942779541},{"id":"https://openalex.org/keywords/discrete-orthogonal-polynomials","display_name":"discrete orthogonal polynomials","score":0.8820000290870667},{"id":"https://openalex.org/keywords/limiting-process","display_name":"limit processes","score":0.5450000166893005}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9115023612976074},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.8457669019699097},{"id":"https://openalex.org/C52537462","wikidata":"https://www.wikidata.org/wiki/Q5282055","display_name":"Discrete orthogonal polynomials","level":3,"score":0.7828381061553955},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.7760070562362671},{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.7581465244293213},{"id":"https://openalex.org/C61349858","wikidata":"https://www.wikidata.org/wiki/Q1568814","display_name":"Hahn polynomials","level":5,"score":0.7544850707054138},{"id":"https://openalex.org/C43176163","wikidata":"https://www.wikidata.org/wiki/Q8023263","display_name":"Wilson polynomials","level":4,"score":0.6219950318336487},{"id":"https://openalex.org/C118797610","wikidata":"https://www.wikidata.org/wiki/Q4298931","display_name":"Kravchuk polynomials","level":5,"score":0.5606574416160583},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.5466729402542114},{"id":"https://openalex.org/C48490523","wikidata":"https://www.wikidata.org/wiki/Q371631","display_name":"Jacobi polynomials","level":3,"score":0.5237141251564026},{"id":"https://openalex.org/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.5044978857040405},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.47067126631736755},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38482433557510376},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3443424701690674},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3345779776573181}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1006/jsco.1998.0340","doi":"https://doi.org/10.1006/jsco.1998.0340","is_oa":true,"landing_page_url":"https://doi.org/10.1006/jsco.1998.0340","pdf_url":null,"source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"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":"Journal of Symbolic Computation","raw_type":"journal-article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:99347","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.2/99347","pdf_url":null,"source":{"id":"https://openalex.org/S4306400166","display_name":"Digital Access to Libraries","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2800384882","host_organization_name":"Harris County Public Library","host_organization_lineage":["https://openalex.org/I2800384882"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Symbolic Computation, Vol. 28, no. 6, p. 801-818 (1999)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1006/jsco.1998.0340","doi":"https://doi.org/10.1006/jsco.1998.0340","is_oa":true,"landing_page_url":"https://doi.org/10.1006/jsco.1998.0340","pdf_url":null,"source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"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":"Journal of Symbolic Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320875","display_name":"Deutscher Akademischer Austauschdienst","ror":"https://ror.org/039djdh30"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W366800005","https://openalex.org/W1528387448","https://openalex.org/W1597251915","https://openalex.org/W1601041297","https://openalex.org/W1787629355","https://openalex.org/W1966268321","https://openalex.org/W1974657110","https://openalex.org/W1983828214","https://openalex.org/W2002361004","https://openalex.org/W2016378079","https://openalex.org/W2048892491","https://openalex.org/W2066833328","https://openalex.org/W2077458232","https://openalex.org/W2081040494","https://openalex.org/W2086792133","https://openalex.org/W2092611097","https://openalex.org/W2157480491","https://openalex.org/W2186215543","https://openalex.org/W2186919933","https://openalex.org/W3010970241","https://openalex.org/W6654507666"],"related_works":["https://openalex.org/W2072647369","https://openalex.org/W2052308123","https://openalex.org/W2788208119","https://openalex.org/W2012860697","https://openalex.org/W3148568540","https://openalex.org/W2504939013","https://openalex.org/W4286909400","https://openalex.org/W653179825","https://openalex.org/W3100606017","https://openalex.org/W3112961020"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-09-16T18:09:00.828671","created_date":"2016-06-24T00:00:00"}