{"id":"https://openalex.org/W1992887275","doi":"https://doi.org/10.1137/1035147","title":"A Finite Sum of Products of Binomial Coefficients (C. C. Grosjean)","display_name":"A Finite Sum of Products of Binomial Coefficients (C. C. Grosjean)","publication_year":1993,"publication_date":"1993-12-01","ids":{"openalex":"https://openalex.org/W1992887275","doi":"https://doi.org/10.1137/1035147","mag":"1992887275"},"language":"en","primary_location":{"id":"doi:10.1137/1035147","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1035147","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","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/A5018743761","display_name":"Philippe Flajolet","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P. Flajolet","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047966261","display_name":"Bruno Salvy","orcid":"https://orcid.org/0000-0002-4313-0679"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"B. Salvy","raw_affiliation_strings":["Department of Mathematical Sciences, Faculty of Science, K\u00f8benhavns Universitet"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Faculty of Science, K\u00f8benhavns Universitet","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014728682","display_name":"Helmut Prodinger","orcid":"https://orcid.org/0000-0002-0009-8015"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Helmut Prodinger","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.11940976,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"4","first_page":"645","last_page":"647"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9961000084877014,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9961000084877014,"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"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9941999912261963,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9908999800682068,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/maple","display_name":"Maple","score":0.7727293968200684},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5245038270950317},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.4324982464313507},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.392246812582016},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3541474938392639},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24674299359321594},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21144893765449524},{"id":"https://openalex.org/keywords/botany","display_name":"Botany","score":0.10584533214569092}],"concepts":[{"id":"https://openalex.org/C2780414537","wikidata":"https://www.wikidata.org/wiki/Q42292","display_name":"Maple","level":2,"score":0.7727293968200684},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5245038270950317},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.4324982464313507},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.392246812582016},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3541474938392639},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24674299359321594},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21144893765449524},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.10584533214569092},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/1035147","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1035147","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W2008997716","https://openalex.org/W2019367635","https://openalex.org/W2022225037","https://openalex.org/W2064305618"],"related_works":["https://openalex.org/W3008027610","https://openalex.org/W2619973341","https://openalex.org/W4300811723","https://openalex.org/W2210259036","https://openalex.org/W2019433297","https://openalex.org/W2970670716","https://openalex.org/W4249171332","https://openalex.org/W2522483390","https://openalex.org/W650945805","https://openalex.org/W2966474385"],"abstract_inverted_index":{"Previous":[0,146],"article":[1,3,147,149],"Next":[2,148],"A":[4,110,132],"Finite":[5],"Sum":[6],"of":[7,9,61],"Products":[8],"Binomial":[10],"Coefficients":[11],"(C.":[12],"C.":[13],"Grosjean)P.":[14],"Flajolet,":[15,21],"B.":[16,22,48],"Salvy,":[17,23],"and":[18,24,50,63,177,193],"Helmut":[19,25],"ProdingerP.":[20],"Prodingerhttps://doi.org/10.1137/1035147PDFBibTexSections":[26],"ToolsAdd":[27],"to":[28,87,114],"favoritesExport":[29],"CitationTrack":[30],"CitationsEmail":[31],"SectionsAbout[1]":[32],"L.":[33],"Lipshitz,":[34],"D-finite":[35],"power":[36,96],"series,":[37,97],"J.":[38,99,118],"Algebra,":[39],"122":[40],"(1989),":[41],"353\u2013373":[42],"10.1016/0021-8693(89)90222-6":[43],"90g:13032":[44],"0695.12018":[45],"CrossrefISIGoogle":[46,128],"Scholar[2]":[47],"Salvy":[49],",":[51],"P.":[52,92],"Zimmermann,":[53],"Gfun:":[54],"a":[55],"Maple":[56,133],"package":[57],"for":[58,135,175,191],"the":[59],"manipulation":[60],"generating":[62],"holonomic":[64,111],"functions":[65,116],"in":[66],"one":[67],"variable,":[68],"1992,":[69],"Tech.":[70],"Report":[71],"143,":[72],"Institut":[73],"National":[74],"de":[75],"Recherche":[76],"en":[77,80],"Informatique":[78],"et":[79],"Autonomique,":[81],"ACM":[82],"Transactions":[83],"on":[84],"Mathematical":[85],"Software,":[86],"appear":[88],"Google":[89],"Scholar[3]":[90],"R.":[91],"Stanley,":[93],"Differentiably":[94],"finite":[95],"European":[98],"Combin.,":[100],"1":[101],"(1980),":[102],"175\u2013188":[103],"81m:05012":[104],"0445.05012":[105],"CrossrefGoogle":[106,144],"Scholar[4]":[107],"Doron":[108],"Zeilberger,":[109,131],"systems":[112],"approach":[113],"special":[115],"identities,":[117,138],"Comput.":[119],"Appl.":[120],"Math.,":[121],"32":[122],"(1990),":[123],"321\u2013368":[124],"10.1016/0377-0427(90)90042-X":[125],"92b:33014":[126],"0738.33001":[127],"Scholar[5]":[129],"D.":[130],"program":[134],"proving":[136],"hypergeometric":[137],"SIGSAM":[139],"Bull.,":[140],"25":[141],"(1991),":[142],"4\u201313":[143],"Scholar":[145],"FiguresRelatedReferencesCited":[150],"ByDetails":[151],"BibliographySumma":[152],"Summarum":[153],"|":[154],"2":[155],"March":[156],"2011":[157],"Cross":[158],"Ref":[159],"Volume":[160],"35,":[161],"Issue":[162],"4|":[163],"1993SIAM":[164],"Review551-694":[165],"History":[166],"Published":[167],"online:12":[168],"July":[169],"2006":[170],"InformationCopyright":[171],"\u00a9":[172],"1993":[173],"Society":[174],"Industrial":[176,192],"Applied":[178,194],"MathematicsPDF":[179],"Download":[180],"Article":[181],"&":[182],"Publication":[183],"DataArticle":[184],"DOI:10.1137/1035147Article":[185],"page":[186],"range:pp.":[187],"645-647ISSN":[188],"(print):0036-1445ISSN":[189],"(online):1095-7200Publisher:Society":[190],"Mathematics":[195]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
