{"id":"https://openalex.org/W2118246659","doi":"https://doi.org/10.1007/s11075-007-9115-1","title":"\u2018Classical\u2019 convergence theorems for generalized continued fractions","display_name":"\u2018Classical\u2019 convergence theorems for generalized continued fractions","publication_year":2007,"publication_date":"2007-04-01","ids":{"openalex":"https://openalex.org/W2118246659","doi":"https://doi.org/10.1007/s11075-007-9115-1","mag":"2118246659"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-007-9115-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-007-9115-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-007-9115-1.pdf","source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11075-007-9115-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109160949","display_name":"Marcel G. de Bruin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210131439","display_name":"Applied Mathematics (United States)","ror":"https://ror.org/03seew607","country_code":"US","type":"company","lineage":["https://openalex.org/I4210131439"]},{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL","US"],"is_corresponding":true,"raw_author_name":"Marcel G. de Bruin","raw_affiliation_strings":["Delft Institute for Applied Mathematics, P.O. Box 5031, 2600, GA, Delft, The Netherlands","Delft Institute for Applied Mathematics"],"affiliations":[{"raw_affiliation_string":"Delft Institute for Applied Mathematics, P.O. Box 5031, 2600, GA, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874","https://openalex.org/I4210131439"]},{"raw_affiliation_string":"Delft Institute for Applied Mathematics","institution_ids":["https://openalex.org/I4210131439"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109160949"],"corresponding_institution_ids":["https://openalex.org/I4210131439","https://openalex.org/I98358874"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.19057289,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"44","issue":"4","first_page":"367","last_page":"380"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9886999726295471,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9886999726295471,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9854999780654907,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.964900016784668,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/mathematics","display_name":"Mathematics","score":0.9067803621292114},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.8023577928543091},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6875734329223633},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.529973030090332},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5048080682754517},{"id":"https://openalex.org/keywords/recurrence-relation","display_name":"Recurrence relation","score":0.42034536600112915},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3633280396461487},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34457072615623474},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08890512585639954}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9067803621292114},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.8023577928543091},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6875734329223633},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.529973030090332},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5048080682754517},{"id":"https://openalex.org/C201292218","wikidata":"https://www.wikidata.org/wiki/Q740970","display_name":"Recurrence relation","level":2,"score":0.42034536600112915},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3633280396461487},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34457072615623474},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08890512585639954},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-007-9115-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-007-9115-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-007-9115-1.pdf","source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11075-007-9115-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-007-9115-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-007-9115-1.pdf","source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2118246659.pdf","grobid_xml":"https://content.openalex.org/works/W2118246659.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W246016970","https://openalex.org/W1998980189","https://openalex.org/W2030274243","https://openalex.org/W2040743115","https://openalex.org/W2054796168","https://openalex.org/W2070210196","https://openalex.org/W6605770186"],"related_works":["https://openalex.org/W4238808391","https://openalex.org/W2182660108","https://openalex.org/W3034732043","https://openalex.org/W42295635","https://openalex.org/W1973996291","https://openalex.org/W2089740168","https://openalex.org/W2330575325","https://openalex.org/W4388747848","https://openalex.org/W2163803519","https://openalex.org/W2756055184"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"the":[3,25,28],"classical":[4],"convergence":[5],"theorems":[6],"by":[7],"\u015aleszy\u0144ski-Pringsheim,":[8],"Worpitzky":[9],"and":[10],"Van":[11],"Vleck":[12],"for":[13],"ordinary":[14],"continued":[15,21],"fractions":[16,22],"will":[17],"be":[18],"generalized":[19],"to":[20],"generalizations":[23],"(along":[24],"lines":[26],"of":[27],"Jacobi\u2013Perron":[29],"algorithm)":[30],"with":[31],"four-term":[32],"recurrence":[33],"relations.":[34]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}