{"id":"https://openalex.org/W2023653984","doi":"https://doi.org/10.1007/bf02142492","title":"Computation of special functions by Pad\u00e9 approximants with orthogonal polynomial denominators","display_name":"Computation of special functions by Pad\u00e9 approximants with orthogonal polynomial denominators","publication_year":1996,"publication_date":"1996-12-01","ids":{"openalex":"https://openalex.org/W2023653984","doi":"https://doi.org/10.1007/bf02142492","mag":"2023653984"},"language":"en","primary_location":{"id":"doi:10.1007/bf02142492","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02142492","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048946252","display_name":"Cathleen Craviotto","orcid":null},"institutions":[{"id":"https://openalex.org/I71966907","display_name":"University of Northern Colorado","ror":"https://ror.org/016bysn57","country_code":"US","type":"education","lineage":["https://openalex.org/I71966907"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Cathleen M. Craviotto","raw_affiliation_strings":["Department of Mathematical Sciences, University of Northern Colorado, 80639, Greeley, CO, USA","Department of Mathematical Sciences, University of Northern Colorado, Greeley, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Northern Colorado, 80639, Greeley, CO, USA","institution_ids":["https://openalex.org/I71966907"]},{"raw_affiliation_string":"Department of Mathematical Sciences, University of Northern Colorado, Greeley, USA","institution_ids":["https://openalex.org/I71966907"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084632857","display_name":"William B. Jones","orcid":null},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William B. Jones","raw_affiliation_strings":["Department of Mathematics, University of Colorado, 80309-0395, Boulder, CO, USA","Department of Mathematics, University of Colorado, Boulder, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Colorado, 80309-0395, Boulder, CO, USA","institution_ids":["https://openalex.org/I188538660"]},{"raw_affiliation_string":"Department of Mathematics, University of Colorado, Boulder, USA#TAB#","institution_ids":["https://openalex.org/I188538660"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041853395","display_name":"W. J. Thron","orcid":null},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"W. J. Thron","raw_affiliation_strings":["Department of Mathematics, University of Colorado, 80309-0395, Boulder, CO, USA","Department of Mathematics, University of Colorado, Boulder, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Colorado, 80309-0395, Boulder, CO, USA","institution_ids":["https://openalex.org/I188538660"]},{"raw_affiliation_string":"Department of Mathematics, University of Colorado, Boulder, USA#TAB#","institution_ids":["https://openalex.org/I188538660"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073722066","display_name":"Nancy J. Wyshinski","orcid":null},"institutions":[{"id":"https://openalex.org/I4401726811","display_name":"Hartford Financial Services (United States)","ror":"https://ror.org/00mwq1g96","country_code":null,"type":"company","lineage":["https://openalex.org/I4401726811"]},{"id":"https://openalex.org/I56722557","display_name":"Trinity College","ror":"https://ror.org/03j3dbz94","country_code":"US","type":"education","lineage":["https://openalex.org/I56722557"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nancy J. Wyshinski","raw_affiliation_strings":["Department of Mathematics, Trinity College, 06106, Hartford, CT, USA","Department of Mathematics, Trinity College, Hartford, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Trinity College, 06106, Hartford, CT, USA","institution_ids":["https://openalex.org/I56722557"]},{"raw_affiliation_string":"Department of Mathematics, Trinity College, Hartford, USA","institution_ids":["https://openalex.org/I56722557","https://openalex.org/I4401726811"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5048946252"],"corresponding_institution_ids":["https://openalex.org/I71966907"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14417989,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"1","first_page":"117","last_page":"141"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9940000176429749,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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":0.877795398235321},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.6115745306015015},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5632848143577576},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.5475077629089355},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5217310190200806},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.506813108921051},{"id":"https://openalex.org/keywords/pad\u00e9-approximant","display_name":"Pad\u00e9 approximant","score":0.5053640007972717},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.49244794249534607},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.4810360074043274},{"id":"https://openalex.org/keywords/round-off-error","display_name":"Round-off error","score":0.4601358473300934},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4288035035133362},{"id":"https://openalex.org/keywords/decimal","display_name":"Decimal","score":0.42472514510154724},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4241909384727478},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36190879344940186},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3346155881881714},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24413856863975525},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24380522966384888},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.2273939549922943}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.877795398235321},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.6115745306015015},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5632848143577576},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.5475077629089355},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5217310190200806},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.506813108921051},{"id":"https://openalex.org/C153150388","wikidata":"https://www.wikidata.org/wiki/Q2452504","display_name":"Pad\u00e9 approximant","level":2,"score":0.5053640007972717},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.49244794249534607},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.4810360074043274},{"id":"https://openalex.org/C61005703","wikidata":"https://www.wikidata.org/wiki/Q2145211","display_name":"Round-off error","level":2,"score":0.4601358473300934},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4288035035133362},{"id":"https://openalex.org/C65045869","wikidata":"https://www.wikidata.org/wiki/Q81365","display_name":"Decimal","level":2,"score":0.42472514510154724},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4241909384727478},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36190879344940186},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3346155881881714},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24413856863975525},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24380522966384888},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2273939549922943},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02142492","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02142492","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"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/W1488862788","https://openalex.org/W1524305136","https://openalex.org/W1541633373","https://openalex.org/W1571138202","https://openalex.org/W1971391697","https://openalex.org/W1989354697","https://openalex.org/W2023413246","https://openalex.org/W2027075713","https://openalex.org/W2040035683","https://openalex.org/W2050601834","https://openalex.org/W2063066523","https://openalex.org/W2072573953","https://openalex.org/W2078634137","https://openalex.org/W2313299119","https://openalex.org/W2330548796","https://openalex.org/W2799771393","https://openalex.org/W2801179766","https://openalex.org/W2922170294","https://openalex.org/W4232256575","https://openalex.org/W4250406765","https://openalex.org/W4291439952"],"related_works":["https://openalex.org/W280651834","https://openalex.org/W2355522169","https://openalex.org/W2946847335","https://openalex.org/W2798723798","https://openalex.org/W13301693","https://openalex.org/W142129510","https://openalex.org/W2400766834","https://openalex.org/W4288094532","https://openalex.org/W2978367199","https://openalex.org/W2014182256"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
