{"id":"https://openalex.org/W4412479399","doi":"https://doi.org/10.1090/mcom/4127","title":"Convergence analysis of Hermite approximations for analytic functions","display_name":"Convergence analysis of Hermite approximations for analytic functions","publication_year":2025,"publication_date":"2025-07-16","ids":{"openalex":"https://openalex.org/W4412479399","doi":"https://doi.org/10.1090/mcom/4127"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/4127","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4127","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","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/A5101619549","display_name":"Haiyong Wang","orcid":"https://orcid.org/0000-0003-0072-3949"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haiyong Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, People\u2019s Republic of China; and Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong University of Science and Technology, Wuhan 430074, People\u2019s Republic of China","School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, People\u2019s Republic of China; and Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong University of Science and Technology, Wuhan 430074, People\u2019s Republic of China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100661417","display_name":"Lun Zhang","orcid":"https://orcid.org/0000-0003-2823-1153"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lun Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Center for Applied Mathematics and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai 200433, People\u2019s Republic of China","School of Mathematical Sciences, Center for Applied Mathematics and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai 200433, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Center for Applied Mathematics and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai 200433, People\u2019s Republic of China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Mathematical Sciences, Center for Applied Mathematics and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai 200433, People's Republic of China","institution_ids":["https://openalex.org/I24943067"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3254,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.84151418,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"95","issue":"362","first_page":"2891","last_page":"2915"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.996999979019165,"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"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9959999918937683,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8900049924850464},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.7929253578186035},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6306639909744263},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5870088934898376},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.4336865544319153},{"id":"https://openalex.org/keywords/analytic-function","display_name":"Analytic function","score":0.4209473133087158},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3737974762916565}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8900049924850464},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.7929253578186035},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6306639909744263},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5870088934898376},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.4336865544319153},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.4209473133087158},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3737974762916565},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/4127","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4127","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1515678755","https://openalex.org/W1805381866","https://openalex.org/W1968823990","https://openalex.org/W1972021656","https://openalex.org/W1980026162","https://openalex.org/W1983156129","https://openalex.org/W1988533746","https://openalex.org/W1996056542","https://openalex.org/W2020541148","https://openalex.org/W2027863489","https://openalex.org/W2029337219","https://openalex.org/W2032765995","https://openalex.org/W2034008227","https://openalex.org/W2043082364","https://openalex.org/W2055396226","https://openalex.org/W2057055143","https://openalex.org/W2060198886","https://openalex.org/W2071964382","https://openalex.org/W2072653497","https://openalex.org/W2078959912","https://openalex.org/W2084423306","https://openalex.org/W2089015999","https://openalex.org/W2102619667","https://openalex.org/W2803516188","https://openalex.org/W2979698275","https://openalex.org/W2998834071","https://openalex.org/W3112639893","https://openalex.org/W3126368577","https://openalex.org/W3204702256","https://openalex.org/W4210577959","https://openalex.org/W4231310994","https://openalex.org/W4235195661","https://openalex.org/W4236029555","https://openalex.org/W4247375400","https://openalex.org/W4252596549","https://openalex.org/W4253937035","https://openalex.org/W4293215241","https://openalex.org/W4295022726","https://openalex.org/W4323048626","https://openalex.org/W4365460922","https://openalex.org/W4390937022","https://openalex.org/W4390962044","https://openalex.org/W4403529962","https://openalex.org/W6668189608"],"related_works":["https://openalex.org/W175020571","https://openalex.org/W4383100562","https://openalex.org/W1965919058","https://openalex.org/W2994244880","https://openalex.org/W1628946225","https://openalex.org/W2323905825","https://openalex.org/W2952295687","https://openalex.org/W4294204420","https://openalex.org/W3083488279","https://openalex.org/W2021691803"],"abstract_inverted_index":{"In":[0],"this":[1,43],"paper,":[2],"we":[3,99],"present":[4],"a":[5],"rigorous":[6],"analysis":[7,50],"for":[8,19,59,75],"root-exponential":[9,102],"convergence":[10,103],"of":[11,48,66,104],"Hermite":[12,61,67,76],"approximations,":[13],"including":[14],"projection":[15],"and":[16,32,54,63,81,91],"interpolation":[17],"methods,":[18],"functions":[20],"that":[21],"are":[22,51,84,95],"analytic":[23],"in":[24,78],"an":[25],"infinite":[26],"strip":[27],"containing":[28],"the":[29,37,60,64,79,92,101,111],"real":[30],"axis":[31],"satisfy":[33],"certain":[34],"restrictions":[35],"on":[36,110],"asymptotic":[38],"behavior":[39],"at":[40],"infinity":[41],"within":[42],"strip.":[44],"The":[45],"key":[46],"ingredients":[47],"our":[49,116],"some":[52],"new":[53],"remarkable":[55],"contour":[56],"integral":[57],"representations":[58],"coefficients":[62],"remainder":[65],"spectral":[68],"interpolations":[69],"with":[70],"which":[71],"sharp":[72],"error":[73],"estimates":[74],"approximations":[77],"weighted":[80],"maximum":[82],"norms":[83],"established.":[85],"Further":[86],"extensions":[87],"to":[88],"Gauss-Hermite":[89],"quadrature":[90,106],"scaling":[93],"factor":[94],"also":[96],"discussed.":[97],"Particularly,":[98],"prove":[100],"Gauss\u2013Hermite":[105],"under":[107],"explicit":[108],"conditions":[109],"integrands.":[112],"Numerical":[113],"experiments":[114],"confirm":[115],"theoretical":[117],"results.":[118]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-08-08T07:41:36.138363","created_date":"2025-10-10T00:00:00"}
