{"id":"https://openalex.org/W2018794518","doi":"https://doi.org/10.1016/0022-247x(70)90092-2","title":"Continued fraction solutions to the second-order Riccati equation","display_name":"Continued fraction solutions to the second-order Riccati equation","publication_year":1970,"publication_date":"1970-02-01","ids":{"openalex":"https://openalex.org/W2018794518","doi":"https://doi.org/10.1016/0022-247x(70)90092-2","mag":"2018794518"},"language":"en","primary_location":{"id":"doi:10.1016/0022-247x(70)90092-2","doi":"https://doi.org/10.1016/0022-247x(70)90092-2","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0022-247x(70)90092-2","pdf_url":"https://www.sciencedirect.com/science/article/pii/0022247X70900922/pdf","source":{"id":"https://openalex.org/S151579836","display_name":"Journal of Mathematical Analysis and Applications","issn_l":"0022-247X","issn":["0022-247X","1096-0813"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Analysis and Applications","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/0022247X70900922/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073107357","display_name":"Wyman G. Fair","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I59386820","display_name":"MRIGlobal","ror":"https://ror.org/0320rar10","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I59386820"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Wyman Fair","raw_affiliation_strings":["Midwest Research Institute, Kansas City, Missouri 64110 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Midwest Research Institute, Kansas City, Missouri 64110 USA","institution_ids":["https://openalex.org/I59386820"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073107357"],"corresponding_institution_ids":["https://openalex.org/I59386820"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.17205726,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":"2","first_page":"432","last_page":"435"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.6518999934196472,"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"}},"topics":[{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.6518999934196472,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.19040000438690186,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.02280000038444996,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/continued-fractions","display_name":"continued fractions","score":0.9490000009536743},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.9070000052452087}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8934457302093506},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.7038087248802185},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.692513644695282},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.6131840348243713},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5967753529548645},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5630863308906555},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40731704235076904},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.19203460216522217},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0022-247x(70)90092-2","doi":"https://doi.org/10.1016/0022-247x(70)90092-2","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0022-247x(70)90092-2","pdf_url":"https://www.sciencedirect.com/science/article/pii/0022247X70900922/pdf","source":{"id":"https://openalex.org/S151579836","display_name":"Journal of Mathematical Analysis and Applications","issn_l":"0022-247X","issn":["0022-247X","1096-0813"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Analysis and Applications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/0022-247x(70)90092-2","doi":"https://doi.org/10.1016/0022-247x(70)90092-2","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0022-247x(70)90092-2","pdf_url":"https://www.sciencedirect.com/science/article/pii/0022247X70900922/pdf","source":{"id":"https://openalex.org/S151579836","display_name":"Journal of Mathematical Analysis and Applications","issn_l":"0022-247X","issn":["0022-247X","1096-0813"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Analysis and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2018794518.pdf","grobid_xml":"https://content.openalex.org/works/W2018794518.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W145222367","https://openalex.org/W2067909585"],"related_works":["https://openalex.org/W2067909585","https://openalex.org/W2084142284","https://openalex.org/W409132647","https://openalex.org/W2013064619","https://openalex.org/W323793182","https://openalex.org/W148966832","https://openalex.org/W2055106433","https://openalex.org/W1981587510","https://openalex.org/W1984844403","https://openalex.org/W2033382156"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}