{"id":"https://openalex.org/W105775104","doi":"https://doi.org/10.1007/978-3-319-10515-4_1","title":"Computable Infinite Power Series in the Role of Coefficients of Linear Differential Systems","display_name":"Computable Infinite Power Series in the Role of Coefficients of Linear Differential Systems","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W105775104","doi":"https://doi.org/10.1007/978-3-319-10515-4_1","mag":"105775104"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-10515-4_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-10515-4_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","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/A5066677758","display_name":"\u0421. \u0410. \u0410\u0431\u0440\u0430\u043c\u043e\u0432","orcid":null},"institutions":[{"id":"https://openalex.org/I2801535751","display_name":"Dorodnitsyn Computing Centre","ror":"https://ror.org/01vgda714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801535751","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Sergei A. Abramov","raw_affiliation_strings":["Computing Centre of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computing Centre of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia","institution_ids":["https://openalex.org/I2801535751"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105411881","display_name":"Moulay A. Barkatou","orcid":"https://orcid.org/0000-0001-9892-9448"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210093397","display_name":"XLIM","ror":"https://ror.org/00f7srh09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I32881790","https://openalex.org/I4210093397","https://openalex.org/I4210095849","https://openalex.org/I65806277"]},{"id":"https://openalex.org/I65806277","display_name":"Universit\u00e9 de Limoges","ror":"https://ror.org/02cp04407","country_code":"FR","type":"education","lineage":["https://openalex.org/I65806277"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Moulay A. Barkatou","raw_affiliation_strings":["Institut XLIM, D\u00e9partement Math\u00e9matiques et Informatique, Universit\u00e9 de Limoges ; CNRS, 123, Av. A. Thomas, 87060, Limoges cedex, France","CNRS, 123, Av. A. Thomas, 87060, Limoges cedex, France","Institut XLIM, D\u00e9partement Math\u00e9matiques et Informatique, Universit\u00e9 de Limoges"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut XLIM, D\u00e9partement Math\u00e9matiques et Informatique, Universit\u00e9 de Limoges ; CNRS, 123, Av. A. Thomas, 87060, Limoges cedex, France","institution_ids":["https://openalex.org/I65806277","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS, 123, Av. A. Thomas, 87060, Limoges cedex, France","institution_ids":["https://openalex.org/I65806277","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Institut XLIM, D\u00e9partement Math\u00e9matiques et Informatique, Universit\u00e9 de Limoges","institution_ids":["https://openalex.org/I4210093397","https://openalex.org/I65806277"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.5968,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.81687037,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9883000254631042,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9883000254631042,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9854999780654907,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9830999970436096,"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/decidability","display_name":"Decidability","score":0.6336331963539124},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6253451704978943},{"id":"https://openalex.org/keywords/formal-power-series","display_name":"Formal power series","score":0.6057817339897156},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5656174421310425},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5517675876617432},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5349351763725281},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5214923620223999},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5028166174888611},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.49360978603363037},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4801699221134186},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.4310981035232544},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3599618077278137},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2893252372741699},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28247734904289246},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2175569236278534},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1245025098323822}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.6336331963539124},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6253451704978943},{"id":"https://openalex.org/C151746172","wikidata":"https://www.wikidata.org/wiki/Q1003025","display_name":"Formal power series","level":3,"score":0.6057817339897156},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5656174421310425},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5517675876617432},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5349351763725281},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5214923620223999},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5028166174888611},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.49360978603363037},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4801699221134186},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.4310981035232544},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3599618077278137},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2893252372741699},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28247734904289246},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2175569236278534},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1245025098323822},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-10515-4_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-10515-4_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-01324198v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01324198","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"16th International Workshop on Computer Algebra in Scientific Computing CASC 2014, Sep 2014, Warsaw, Poland. pp.1-12","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W78494858","https://openalex.org/W1516030196","https://openalex.org/W1543025734","https://openalex.org/W1560726565","https://openalex.org/W1581824324","https://openalex.org/W1988098065","https://openalex.org/W1992141773","https://openalex.org/W2001795170","https://openalex.org/W2007519455","https://openalex.org/W2007767074","https://openalex.org/W2015697919","https://openalex.org/W2021258994","https://openalex.org/W2054208936","https://openalex.org/W2063706894","https://openalex.org/W2076247560","https://openalex.org/W2126160338","https://openalex.org/W2133527753","https://openalex.org/W2134837982","https://openalex.org/W2144692110","https://openalex.org/W2146555940","https://openalex.org/W4231613283"],"related_works":["https://openalex.org/W3100954504","https://openalex.org/W3022449129","https://openalex.org/W2606781077","https://openalex.org/W4386731851","https://openalex.org/W125268981","https://openalex.org/W1519862060","https://openalex.org/W1507613483","https://openalex.org/W1588317520","https://openalex.org/W4300174355","https://openalex.org/W2020238882"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}