{"id":"https://openalex.org/W4299440765","doi":"https://doi.org/10.1007/978-3-031-14788-3_2","title":"On Truncated Series Involved in\u00a0Exponential-Logarithmic Solutions of\u00a0Truncated LODEs","display_name":"On Truncated Series Involved in\u00a0Exponential-Logarithmic Solutions of\u00a0Truncated LODEs","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4299440765","doi":"https://doi.org/10.1007/978-3-031-14788-3_2"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-14788-3_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-14788-3_2","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/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210147539","display_name":"S.I. Vavilov Institute for the History of Science and Technology","ror":"https://ror.org/04kybmr51","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210147539"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"S. A. Abramov","raw_affiliation_strings":["Federal Research Center \u201cComputer Science and Control\u201d of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia","Federal Research Center \"Computer Science and Control\" of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia"],"raw_orcid":"https://orcid.org/0000-0001-7745-5132","affiliations":[{"raw_affiliation_string":"Federal Research Center \u201cComputer Science and Control\u201d of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia","institution_ids":["https://openalex.org/I4210147539"]},{"raw_affiliation_string":"Federal Research Center \"Computer Science and Control\" of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia","institution_ids":["https://openalex.org/I1313323035"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001081549","display_name":"D. E. Khmelnov","orcid":"https://orcid.org/0000-0002-4602-2382"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210147539","display_name":"S.I. Vavilov Institute for the History of Science and Technology","ror":"https://ror.org/04kybmr51","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210147539"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"D. E. Khmelnov","raw_affiliation_strings":["Federal Research Center \u201cComputer Science and Control\u201d of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia","Federal Research Center \"Computer Science and Control\" of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia"],"raw_orcid":"https://orcid.org/0000-0002-4602-2382","affiliations":[{"raw_affiliation_string":"Federal Research Center \u201cComputer Science and Control\u201d of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia","institution_ids":["https://openalex.org/I4210147539"]},{"raw_affiliation_string":"Federal Research Center \"Computer Science and Control\" of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia","institution_ids":["https://openalex.org/I1313323035"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088330733","display_name":"\u0410. \u0410. Ryabenko","orcid":"https://orcid.org/0000-0001-5780-7743"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210147539","display_name":"S.I. Vavilov Institute for the History of Science and Technology","ror":"https://ror.org/04kybmr51","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210147539"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. A. Ryabenko","raw_affiliation_strings":["Federal Research Center \u201cComputer Science and Control\u201d of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia","Federal Research Center \"Computer Science and Control\" of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia"],"raw_orcid":"https://orcid.org/0000-0001-5780-7743","affiliations":[{"raw_affiliation_string":"Federal Research Center \u201cComputer Science and Control\u201d of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia","institution_ids":["https://openalex.org/I4210147539"]},{"raw_affiliation_string":"Federal Research Center \"Computer Science and Control\" of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia","institution_ids":["https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066677758"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I4210147539"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.3275,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.82534399,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"18","last_page":"28"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","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/T11435","display_name":"Polynomial and algebraic computation","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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9850999712944031,"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/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9764000177383423,"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/logarithm","display_name":"Logarithm","score":0.7689733505249023},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.7270298004150391},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6966325044631958},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6810238361358643},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5998054146766663},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.5893881916999817},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.542012095451355},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.45818203687667847},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4369228184223175},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.290122389793396},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2429385781288147}],"concepts":[{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.7689733505249023},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.7270298004150391},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6966325044631958},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6810238361358643},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5998054146766663},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.5893881916999817},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.542012095451355},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.45818203687667847},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4369228184223175},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.290122389793396},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2429385781288147},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-14788-3_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-14788-3_2","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W105775104","https://openalex.org/W1530173406","https://openalex.org/W1989057772","https://openalex.org/W2007767074","https://openalex.org/W2016415879","https://openalex.org/W2017307469","https://openalex.org/W2076247560","https://openalex.org/W2098067519","https://openalex.org/W2144692110","https://openalex.org/W2154217256","https://openalex.org/W2328354495","https://openalex.org/W2982515247","https://openalex.org/W3013775025","https://openalex.org/W3017006328","https://openalex.org/W3097776826","https://openalex.org/W3106902196","https://openalex.org/W3155999182","https://openalex.org/W3184143517","https://openalex.org/W4224253179","https://openalex.org/W4231613283","https://openalex.org/W4245499939"],"related_works":["https://openalex.org/W2142055042","https://openalex.org/W2349513171","https://openalex.org/W2279421771","https://openalex.org/W4243222793","https://openalex.org/W2330900335","https://openalex.org/W4299440765","https://openalex.org/W3155999182","https://openalex.org/W802046941","https://openalex.org/W1997390523","https://openalex.org/W3028340145"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
