{"id":"https://openalex.org/W1990888619","doi":"https://doi.org/10.1145/2442829.2442848","title":"Power series solutions of singular (q)-differential equations","display_name":"Power series solutions of singular (q)-differential equations","publication_year":2012,"publication_date":"2012-07-22","ids":{"openalex":"https://openalex.org/W1990888619","doi":"https://doi.org/10.1145/2442829.2442848","mag":"1990888619"},"language":"en","primary_location":{"id":"doi:10.1145/2442829.2442848","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2442829.2442848","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1205.3414","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033626172","display_name":"Alin Bostan","orcid":"https://orcid.org/0000-0003-3798-9281"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210099593","display_name":"Computer Algorithms for Medicine","ror":"https://ror.org/00zky6d38","country_code":"AT","type":"facility","lineage":["https://openalex.org/I4210099593"]}],"countries":["AT","FR"],"is_corresponding":false,"raw_author_name":"Alin Bostan","raw_affiliation_strings":["Algorithms Project, Inria (France)","Algorithms Project, INRIA (France)#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Algorithms Project, Inria (France)","institution_ids":["https://openalex.org/I4210099593"]},{"raw_affiliation_string":"Algorithms Project, INRIA (France)#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]},{"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/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210099593","display_name":"Computer Algorithms for Medicine","ror":"https://ror.org/00zky6d38","country_code":"AT","type":"facility","lineage":["https://openalex.org/I4210099593"]}],"countries":["AT","FR"],"is_corresponding":false,"raw_author_name":"Bruno Salvy","raw_affiliation_strings":["Algorithms Project, Inria (France)","Algorithms Project, INRIA (France)#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Algorithms Project, Inria (France)","institution_ids":["https://openalex.org/I4210099593"]},{"raw_affiliation_string":"Algorithms Project, INRIA (France)#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114254228","display_name":"Muhammad F. I. Chowdhury","orcid":null},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Muhammad F. I. Chowdhury","raw_affiliation_strings":["University of Western Ontario London, ON (Canada)","University of Western Ontario , London (ON) , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Western Ontario London, ON (Canada)","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"University of Western Ontario , London (ON) , Canada","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041679295","display_name":"\u00c9ric Schost","orcid":"https://orcid.org/0000-0002-8638-9357"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"\u00c9ric Schost","raw_affiliation_strings":["University of Western Ontario London, ON (Canada)","University of Western Ontario , London (ON) , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Western Ontario London, ON (Canada)","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"University of Western Ontario , London (ON) , Canada","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082997850","display_name":"Romain Lebreton","orcid":"https://orcid.org/0000-0002-0880-1190"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Romain Lebreton","raw_affiliation_strings":["\u00c9cole polytechnique Palaiseau (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole polytechnique Palaiseau (France)","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I142476485"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3892,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.80775327,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"107","last_page":"114"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"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":0.9998000264167786,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9894999861717224,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/power-series","display_name":"Power series","score":0.692833423614502},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6843761205673218},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5839118361473083},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.571940541267395},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5713198184967041},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.547950029373169},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5200352668762207},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48975300788879395},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.43329405784606934},{"id":"https://openalex.org/keywords/linear-differential-equation","display_name":"Linear differential equation","score":0.42380452156066895},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38342010974884033},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37948527932167053},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09673389792442322}],"concepts":[{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.692833423614502},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6843761205673218},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5839118361473083},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.571940541267395},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5713198184967041},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.547950029373169},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5200352668762207},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48975300788879395},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.43329405784606934},{"id":"https://openalex.org/C13982400","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Linear differential equation","level":3,"score":0.42380452156066895},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38342010974884033},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37948527932167053},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09673389792442322},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2442829.2442848","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2442829.2442848","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1205.3414","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1205.3414","pdf_url":"https://arxiv.org/pdf/1205.3414","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1205.3414","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1205.3414","pdf_url":"https://arxiv.org/pdf/1205.3414","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1990888619.pdf","grobid_xml":"https://content.openalex.org/works/W1990888619.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W569188033","https://openalex.org/W1540625694","https://openalex.org/W1562183207","https://openalex.org/W1965900467","https://openalex.org/W1978922993","https://openalex.org/W1979740015","https://openalex.org/W1989290453","https://openalex.org/W1990157214","https://openalex.org/W2007694568","https://openalex.org/W2008943315","https://openalex.org/W2042513324","https://openalex.org/W2048276889","https://openalex.org/W2051154648","https://openalex.org/W2052024558","https://openalex.org/W2052387938","https://openalex.org/W2060801388","https://openalex.org/W2067950298","https://openalex.org/W2083368929","https://openalex.org/W2084801848","https://openalex.org/W2085014043","https://openalex.org/W2091142228","https://openalex.org/W2106529515","https://openalex.org/W2137241442","https://openalex.org/W2145256573","https://openalex.org/W2146078064","https://openalex.org/W2164714803","https://openalex.org/W2168527104","https://openalex.org/W2172255526","https://openalex.org/W2207819601","https://openalex.org/W2470493488","https://openalex.org/W3009739836","https://openalex.org/W3101040267","https://openalex.org/W3201445373"],"related_works":["https://openalex.org/W2462570720","https://openalex.org/W2347435260","https://openalex.org/W2353151757","https://openalex.org/W2349831920","https://openalex.org/W2001617949","https://openalex.org/W2363313804","https://openalex.org/W2573515625","https://openalex.org/W2387425078","https://openalex.org/W283818205","https://openalex.org/W2519311886"],"abstract_inverted_index":{"We":[0],"provide":[1],"algorithms":[2],"computing":[3],"power":[4],"series":[5],"solutions":[6],"of":[7,11,20],"a":[8],"large":[9],"class":[10],"differential":[12],"or":[13,16],"q-differential":[14],"equations":[15],"systems.":[17],"Their":[18],"number":[19],"arithmetic":[21],"operations":[22],"grows":[23],"linearly":[24],"with":[25],"the":[26],"precision,":[27],"up":[28],"to":[29],"logarithmic":[30],"terms.":[31]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
