{"id":"https://openalex.org/W1767778624","doi":"https://doi.org/10.3233/asy-2011-1060","title":"Global asymptotics of the Meixner polynomials","display_name":"Global asymptotics of the Meixner polynomials","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1767778624","doi":"https://doi.org/10.3233/asy-2011-1060","mag":"1767778624"},"language":"en","primary_location":{"id":"doi:10.3233/asy-2011-1060","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2011-1060","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":["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/A5070314740","display_name":"Xiangsheng Wang","orcid":"https://orcid.org/0000-0003-0410-4643"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"X.-S. Wang","raw_affiliation_strings":["Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108385396","display_name":"R. Wong","orcid":null},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"R. Wong","raw_affiliation_strings":["Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070314740"],"corresponding_institution_ids":["https://openalex.org/I168719708"],"apc_list":null,"apc_paid":null,"fwci":3.3158,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.90919589,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"75","issue":"3-4","first_page":"211","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9998999834060669,"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":0.9998999834060669,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9995999932289124,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/method-of-steepest-descent","display_name":"Method of steepest descent","score":0.911358118057251},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7890732884407043},{"id":"https://openalex.org/keywords/rectangle","display_name":"Rectangle","score":0.7454928159713745},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.6400006413459778},{"id":"https://openalex.org/keywords/mehler\u2013heine-formula","display_name":"Mehler\u2013Heine formula","score":0.6178736686706543},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5632404685020447},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5445459485054016},{"id":"https://openalex.org/keywords/real-line","display_name":"Real line","score":0.45792847871780396},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.4215902090072632},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.42130303382873535},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3587889075279236},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.34074994921684265},{"id":"https://openalex.org/keywords/gegenbauer-polynomials","display_name":"Gegenbauer polynomials","score":0.27355527877807617},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15869948267936707}],"concepts":[{"id":"https://openalex.org/C158847443","wikidata":"https://www.wikidata.org/wiki/Q1997812","display_name":"Method of steepest descent","level":2,"score":0.911358118057251},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7890732884407043},{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.7454928159713745},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.6400006413459778},{"id":"https://openalex.org/C118431652","wikidata":"https://www.wikidata.org/wiki/Q17098827","display_name":"Mehler\u2013Heine formula","level":5,"score":0.6178736686706543},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5632404685020447},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5445459485054016},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.45792847871780396},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.4215902090072632},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.42130303382873535},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3587889075279236},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.34074994921684265},{"id":"https://openalex.org/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.27355527877807617},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15869948267936707},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/asy-2011-1060","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2011-1060","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:CiteSeerX.psu:10.1.1.744.7659","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.744.7659","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1101.4370.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W646052723","https://openalex.org/W1869715524","https://openalex.org/W1994930056","https://openalex.org/W2003115626","https://openalex.org/W2039627268","https://openalex.org/W2051784362","https://openalex.org/W2057817591","https://openalex.org/W2062565740","https://openalex.org/W2067397949","https://openalex.org/W2071128475","https://openalex.org/W2085101032","https://openalex.org/W2118767213","https://openalex.org/W2120062331","https://openalex.org/W2137247574","https://openalex.org/W2156985042","https://openalex.org/W2157281525","https://openalex.org/W2170418144","https://openalex.org/W2170706425","https://openalex.org/W2798287718","https://openalex.org/W2801179766","https://openalex.org/W3100333039"],"related_works":["https://openalex.org/W2793709684","https://openalex.org/W2030874730","https://openalex.org/W2389658126","https://openalex.org/W4308708568","https://openalex.org/W2045154321","https://openalex.org/W1971109251","https://openalex.org/W4241491611","https://openalex.org/W3147630167","https://openalex.org/W34992575","https://openalex.org/W2148432951"],"abstract_inverted_index":{"Using":[0],"the":[1,24,31,36],"steepest":[2],"descent":[3],"method":[4],"for":[5,23],"oscillatory":[6],"Riemann\u2013Hilbert":[7],"problems":[8],"introduced":[9],"by":[10,35],"Deift":[11],"and":[12],"Zhou":[13],"[Ann.":[14],"Math.":[15],"137":[16],"(1993),":[17],"295\u2013368],":[18],"we":[19],"derive":[20],"asymptotic":[21],"formulas":[22],"Meixner":[25],"polynomials":[26],"in":[27],"two":[28],"regions":[29],"of":[30],"complex":[32],"plane":[33],"separated":[34],"b":[37]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-30T06:05:26.967640","created_date":"2025-10-10T00:00:00"}