{"id":"https://openalex.org/W1543193650","doi":"https://doi.org/10.1007/978-1-4614-7258-2_28","title":"Extension of Functional Equations","display_name":"Extension of Functional Equations","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1543193650","doi":"https://doi.org/10.1007/978-1-4614-7258-2_28","mag":"1543193650"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4614-7258-2_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4614-7258-2_28","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Mathematics of Paul Erd\u0151s I","raw_type":"book-chapter"},"type":"book-chapter","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/A5108567807","display_name":"J. Acz\u00e9l","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"J\u00e1nos Acz\u00e9l","raw_affiliation_strings":["Department of Pure Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008390146","display_name":"L\u00e1szl\u00f3 Losonczi","orcid":"https://orcid.org/0000-0002-4763-4305"},"institutions":[{"id":"https://openalex.org/I36721946","display_name":"Kuwait University","ror":"https://ror.org/021e5j056","country_code":"KW","type":"education","lineage":["https://openalex.org/I36721946"]}],"countries":["KW"],"is_corresponding":false,"raw_author_name":"L\u00e1szl\u00f3 Losonczi","raw_affiliation_strings":["Department of Mathematics, Kuwait University, 5969, Safat, 13060, Kuwait"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kuwait University, 5969, Safat, 13060, Kuwait","institution_ids":["https://openalex.org/I36721946"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108567807"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.18777943,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"447","last_page":"459"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.25679999589920044,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.25679999589920044,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/extension","display_name":"Extension (predicate logic)","score":0.7264919281005859},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40118643641471863},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36923491954803467},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3616430163383484},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10312473773956299}],"concepts":[{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.7264919281005859},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40118643641471863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36923491954803467},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3616430163383484},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10312473773956299}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-1-4614-7258-2_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4614-7258-2_28","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Mathematics of Paul Erd\u0151s I","raw_type":"book-chapter"},{"id":"pmh:oai:dea.lib.unideb.hu:2437/282042","is_oa":false,"landing_page_url":"http://hdl.handle.net/2437/282042","pdf_url":null,"source":{"id":"https://openalex.org/S4306402089","display_name":"University of Debrecen Electronic Archive (University of Debrecen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132735039","host_organization_name":"University of Debrecen","host_organization_lineage":["https://openalex.org/I132735039"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"k\u00f6nyvfejezet"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W595380222","https://openalex.org/W782573258","https://openalex.org/W790333440","https://openalex.org/W858115437","https://openalex.org/W1023799873","https://openalex.org/W1531724333","https://openalex.org/W1968344761","https://openalex.org/W1977708020","https://openalex.org/W1979423782","https://openalex.org/W1989959848","https://openalex.org/W1994395670","https://openalex.org/W2010386094","https://openalex.org/W2046976104","https://openalex.org/W2062588444","https://openalex.org/W2064504254","https://openalex.org/W2074696148","https://openalex.org/W2088645419","https://openalex.org/W2093965945","https://openalex.org/W2094817794","https://openalex.org/W2104899903","https://openalex.org/W2128135279","https://openalex.org/W2169631030","https://openalex.org/W2808650095","https://openalex.org/W2916079028","https://openalex.org/W4210945509","https://openalex.org/W4229591572","https://openalex.org/W4244481761","https://openalex.org/W4312613130","https://openalex.org/W4312817017","https://openalex.org/W4312960756","https://openalex.org/W6603227620"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}