{"id":"https://openalex.org/W2181498375","doi":"https://doi.org/10.1007/978-3-319-24021-3_1","title":"Hypergeometric Solutions of First-Order Linear Difference Systems with Rational-Function Coefficients","display_name":"Hypergeometric Solutions of First-Order Linear Difference Systems with Rational-Function Coefficients","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2181498375","doi":"https://doi.org/10.1007/978-3-319-24021-3_1","mag":"2181498375"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-24021-3_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-24021-3_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":"conference-paper","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":true,"raw_author_name":"S. A. Abramov","raw_affiliation_strings":["Computing Centre of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119991, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computing Centre of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119991, Russia","institution_ids":["https://openalex.org/I2801535751"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064920778","display_name":"Marko Petkov\u0161ek","orcid":"https://orcid.org/0000-0001-8629-350X"},"institutions":[{"id":"https://openalex.org/I153976015","display_name":"University of Ljubljana","ror":"https://ror.org/05njb9z20","country_code":"SI","type":"education","lineage":["https://openalex.org/I153976015"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"M. Petkov\u0161ek","raw_affiliation_strings":["Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000, Ljubljana, Slovenia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I153976015"]}]},{"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/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":"A. A. Ryabenko","raw_affiliation_strings":["Computing Centre of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119991, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computing Centre of the Russian Academy of Sciences, Vavilova, 40, Moscow, 119991, Russia","institution_ids":["https://openalex.org/I2801535751"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066677758"],"corresponding_institution_ids":["https://openalex.org/I2801535751"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3328,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.50286608,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9997000098228455,"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":0.9997000098228455,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9657999873161316,"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/scalar","display_name":"Scalar (mathematics)","score":0.6988862752914429},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.680329442024231},{"id":"https://openalex.org/keywords/hypergeometric-function","display_name":"Hypergeometric function","score":0.6595642566680908},{"id":"https://openalex.org/keywords/hypergeometric-distribution","display_name":"Hypergeometric distribution","score":0.5755635499954224},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5081908702850342},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.46752217411994934},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4595884084701538},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.453066885471344},{"id":"https://openalex.org/keywords/confluent-hypergeometric-function","display_name":"Confluent hypergeometric function","score":0.451919823884964},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4413703680038452},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43618714809417725},{"id":"https://openalex.org/keywords/system-of-linear-equations","display_name":"System of linear equations","score":0.43347716331481934},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33117783069610596},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2580697238445282},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16759058833122253}],"concepts":[{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6988862752914429},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.680329442024231},{"id":"https://openalex.org/C197320386","wikidata":"https://www.wikidata.org/wiki/Q21028472","display_name":"Hypergeometric function","level":2,"score":0.6595642566680908},{"id":"https://openalex.org/C176671685","wikidata":"https://www.wikidata.org/wiki/Q730600","display_name":"Hypergeometric distribution","level":2,"score":0.5755635499954224},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5081908702850342},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.46752217411994934},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4595884084701538},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.453066885471344},{"id":"https://openalex.org/C148160416","wikidata":"https://www.wikidata.org/wiki/Q783948","display_name":"Confluent hypergeometric function","level":3,"score":0.451919823884964},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4413703680038452},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43618714809417725},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.43347716331481934},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33117783069610596},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2580697238445282},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16759058833122253},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-24021-3_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-24021-3_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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1642587982","https://openalex.org/W1987047945","https://openalex.org/W1989769144","https://openalex.org/W1995653528","https://openalex.org/W2002188635","https://openalex.org/W2012822158","https://openalex.org/W2017249959","https://openalex.org/W2036718210","https://openalex.org/W2054834513","https://openalex.org/W2079559718","https://openalex.org/W2094144431","https://openalex.org/W2105816623","https://openalex.org/W2108760180","https://openalex.org/W2117392239","https://openalex.org/W2119371075","https://openalex.org/W2172284017","https://openalex.org/W2322158455","https://openalex.org/W4230108938","https://openalex.org/W4232338476","https://openalex.org/W4234000537","https://openalex.org/W4236789519","https://openalex.org/W4252306663"],"related_works":["https://openalex.org/W2303148311","https://openalex.org/W4290886507","https://openalex.org/W2037765897","https://openalex.org/W2279259320","https://openalex.org/W4307312159","https://openalex.org/W4320858047","https://openalex.org/W2006371019","https://openalex.org/W2035513819","https://openalex.org/W4250609992","https://openalex.org/W1993957413"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
