{"id":"https://openalex.org/W2164889820","doi":"https://doi.org/10.1155/2012/482935","title":"Asymptotic Properties of Derivatives of the Stieltjes Polynomials","display_name":"Asymptotic Properties of Derivatives of the Stieltjes Polynomials","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2164889820","doi":"https://doi.org/10.1155/2012/482935","mag":"2164889820"},"language":"en","primary_location":{"id":"doi:10.1155/2012/482935","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/482935","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/482935.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/482935.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103789944","display_name":"Hee Sun Jung","orcid":null},"institutions":[{"id":"https://openalex.org/I848706","display_name":"Sungkyunkwan University","ror":"https://ror.org/04q78tk20","country_code":"KR","type":"education","lineage":["https://openalex.org/I848706"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Hee Sun Jung","raw_affiliation_strings":["Department of Mathematics Education, Sungkyunkwan University, Seoul 110-745, Republic of Korea","Department of Mathematics Education, Sungkyunkwan University, Seoul 110-745"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Sungkyunkwan University, Seoul 110-745, Republic of Korea","institution_ids":["https://openalex.org/I848706"]},{"raw_affiliation_string":"Department of Mathematics Education, Sungkyunkwan University, Seoul 110-745","institution_ids":["https://openalex.org/I848706"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113436867","display_name":"Ryozi Sakai","orcid":null},"institutions":[{"id":"https://openalex.org/I96636082","display_name":"Meijo University","ror":"https://ror.org/04h42fc75","country_code":"JP","type":"education","lineage":["https://openalex.org/I96636082"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ryozi Sakai","raw_affiliation_strings":["Department of Mathematics, Meijo University, Nagoya 468-8502, Japan","Department of Mathematics, Meijo University, Nagoya 468-8502"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Meijo University, Nagoya 468-8502, Japan","institution_ids":["https://openalex.org/I96636082"]},{"raw_affiliation_string":"Department of Mathematics, Meijo University, Nagoya 468-8502","institution_ids":["https://openalex.org/I96636082"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103789944"],"corresponding_institution_ids":["https://openalex.org/I848706"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.4143,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6390973,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9958999752998352,"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":0.7208906412124634},{"id":"https://openalex.org/keywords/riemann\u2013stieltjes-integral","display_name":"Riemann\u2013Stieltjes integral","score":0.6141117811203003},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4084915220737457},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13795101642608643},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.0697934627532959}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7208906412124634},{"id":"https://openalex.org/C167211080","wikidata":"https://www.wikidata.org/wiki/Q285771","display_name":"Riemann\u2013Stieltjes integral","level":3,"score":0.6141117811203003},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4084915220737457},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13795101642608643},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.0697934627532959}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/482935","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/482935","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/482935.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1355495242","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1355495242","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:482935","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/482935.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:ca91f568f49e455585e9200e88483236","is_oa":true,"landing_page_url":"https://doaj.org/article/ca91f568f49e455585e9200e88483236","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/482935","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/482935","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/482935.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2164889820.pdf","grobid_xml":"https://content.openalex.org/works/W2164889820.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1963906908","https://openalex.org/W1969598910","https://openalex.org/W2019254344","https://openalex.org/W2022937469","https://openalex.org/W2033735550","https://openalex.org/W2048041816","https://openalex.org/W2050191834","https://openalex.org/W2155263269","https://openalex.org/W4234869964"],"related_works":["https://openalex.org/W2555414267","https://openalex.org/W52186027","https://openalex.org/W4386761228","https://openalex.org/W2792709828","https://openalex.org/W106805395","https://openalex.org/W4224324299","https://openalex.org/W2016679969","https://openalex.org/W2181674488","https://openalex.org/W1979597421","https://openalex.org/W2007980826"],"abstract_inverted_index":{"Let":[0],"and":[1,80,114,142,180,208,241],"P":[2,91,123,153,189,217],"\u03bb":[3,17,31,37,73,84,92,107,116,124,135,146,154,173,182,190,201,210,218],",":[4,38,45,53,74,85,93,108,117,125,136,147,155,174,183,191,202,211,219],"n":[5,39,50,56,75,86,94,109,118,126,137,148,156,175,184,192,203,212,220],"(":[6,18,32,41,77,88,95,111,120,127,139,150,157,177,186,193,205,214,221],"x":[7,19,33,42,78,89,96,112,121,128,140,151,158,178,187,194,206,215,222],")":[8,34,43,79,90,113,122,129,141,152,179,188,195,207,216,223],"be":[9],"the":[10,24,69,81,101,131,143,167,197,244],"ultraspherical":[11],"polynomials":[12,26,71],"with":[13,27],"respect":[14,28],"to":[15,29],"w":[16,30],").":[20,97],"Then,":[21],"we":[22,62,99,162],"denote":[23],"Stieltjes":[25,70],"by":[35],"E":[36,72,83,106,115,134,145,172,181,200,209],"+1":[40,76,87,110,119,138,149,176,185,204,213],"satisfying":[44],"0":[46],"\u2264":[47],"m":[48,54],"<":[49],"+":[51,57],"1,":[52],"=":[55],"1.":[58],"In":[59],"this":[60],"paper,":[61],"investigate":[63],"asymptotic":[64,164],"properties":[65],"of":[66,68,105,133,171,199,228,243],"derivatives":[67,169],"product":[82,144],"Especially,":[98],"estimate":[100,163],"even\u2010order":[102],"derivative":[103],"values":[104,170],"at":[130,196],"zeros":[132,198],"),":[159],"respectively.":[160,231],"Moreover,":[161],"representations":[165],"for":[166],"odd":[168],"on":[224],"a":[225],"closed":[226],"subset":[227],"(\u22121,":[229],"1),":[230],"These":[232],"estimates":[233],"will":[234],"play":[235],"important":[236],"roles":[237],"in":[238],"investigating":[239],"convergence":[240],"divergence":[242],"higher\u2010order":[245],"Hermite\u2010Fej\u00e9r":[246],"interpolation":[247],"polynomials.":[248]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}