{"id":"https://openalex.org/W1565088565","doi":"https://doi.org/10.3233/asy-141266","title":"On the large argument asymptotics of the Lommel function via Stieltjes transforms","display_name":"On the large argument asymptotics of the Lommel function via Stieltjes transforms","publication_year":2015,"publication_date":"2015-03-01","ids":{"openalex":"https://openalex.org/W1565088565","doi":"https://doi.org/10.3233/asy-141266","mag":"1565088565"},"language":"en","primary_location":{"id":"doi:10.3233/asy-141266","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-141266","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1404.6080","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043146265","display_name":"Gerg\u0151 Nemes","orcid":"https://orcid.org/0000-0003-0499-7832"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Gerg\u0151 Nemes","raw_affiliation_strings":["Department of Mathematics and Its Applications, Central European University, N\u00e1dor utca 9, H-1051 Budapest, Hungary. E-mail: nemesgery@gmail.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Its Applications, Central European University, N\u00e1dor utca 9, H-1051 Budapest, Hungary. E-mail: nemesgery@gmail.com","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043146265"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5251,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.63240575,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"91","issue":"3-4","first_page":"265","last_page":"281"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9998000264167786,"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":0.9998000264167786,"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/T12812","display_name":"Meromorphic and Entire Functions","score":0.9952999949455261,"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/T11166","display_name":"Analytic Number Theory Research","score":0.9916999936103821,"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/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.7884280681610107},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7708348035812378},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.6505964994430542},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.609184741973877},{"id":"https://openalex.org/keywords/riemann\u2013stieltjes-integral","display_name":"Riemann\u2013Stieltjes integral","score":0.6012645959854126},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"Asymptotic expansion","score":0.5560812950134277},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5043495893478394},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5018069744110107},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3263171315193176},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.13102903962135315}],"concepts":[{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.7884280681610107},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7708348035812378},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.6505964994430542},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.609184741973877},{"id":"https://openalex.org/C167211080","wikidata":"https://www.wikidata.org/wiki/Q285771","display_name":"Riemann\u2013Stieltjes integral","level":3,"score":0.6012645959854126},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.5560812950134277},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5043495893478394},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5018069744110107},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3263171315193176},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.13102903962135315},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/asy-141266","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-141266","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1404.6080","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1404.6080","pdf_url":"https://arxiv.org/pdf/1404.6080","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1404.6080","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1404.6080","pdf_url":"https://arxiv.org/pdf/1404.6080","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W40710752","https://openalex.org/W345352887","https://openalex.org/W1489991626","https://openalex.org/W1662706126","https://openalex.org/W2006154587","https://openalex.org/W2013013264","https://openalex.org/W2023140343","https://openalex.org/W2039513402","https://openalex.org/W2057817591","https://openalex.org/W2074126996","https://openalex.org/W2081338783","https://openalex.org/W2091561010","https://openalex.org/W2096645015","https://openalex.org/W2139131426","https://openalex.org/W2152790367","https://openalex.org/W2160613980","https://openalex.org/W2164778349","https://openalex.org/W2571269904","https://openalex.org/W2596323328","https://openalex.org/W4241159483","https://openalex.org/W4245894055","https://openalex.org/W4253727775","https://openalex.org/W4292095448","https://openalex.org/W4300825567"],"related_works":["https://openalex.org/W2555414267","https://openalex.org/W52186027","https://openalex.org/W1972096828","https://openalex.org/W2529137940","https://openalex.org/W4302048708","https://openalex.org/W2359913921","https://openalex.org/W1595194509","https://openalex.org/W4239740410","https://openalex.org/W1996195943","https://openalex.org/W4205298958"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,14,26,28,54],"this":[3,29],"paper":[4],"is":[5,58],"to":[6,48],"investigate":[7],"the":[8,15,49,55],"known":[9],"large":[10,50],"argument":[11,51],"asymptotic":[12,30,42,52],"series":[13,53],"Lommel":[16],"function":[17,57],"by":[18],"Stieltjes":[19],"transform":[20],"representations.":[21],"We":[22],"obtain":[23],"a":[24],"number":[25],"properties":[27],"expansion,":[31],"including":[32],"explicit":[33],"and":[34,38],"realistic":[35],"error":[36],"bounds,":[37],"an":[39],"exponentially":[40],"improved":[41],"expansion.":[43],"An":[44],"interesting":[45],"consequence":[46],"related":[47],"Struve":[56],"also":[59],"proved.":[60]},"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}