{"id":"https://openalex.org/W4378878848","doi":"https://doi.org/10.3390/sym15061176","title":"Improved Upper Bounds of the Third-Order Hankel Determinant for Ozaki Close-to-Convex Functions","display_name":"Improved Upper Bounds of the Third-Order Hankel Determinant for Ozaki Close-to-Convex Functions","publication_year":2023,"publication_date":"2023-05-31","ids":{"openalex":"https://openalex.org/W4378878848","doi":"https://doi.org/10.3390/sym15061176"},"language":"en","primary_location":{"id":"doi:10.3390/sym15061176","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15061176","pdf_url":"https://www.mdpi.com/2073-8994/15/6/1176/pdf?version=1685514986","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/6/1176/pdf?version=1685514986","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100780955","display_name":"Dong Guo","orcid":"https://orcid.org/0009-0005-4403-0804"},"institutions":[{"id":"https://openalex.org/I4210118178","display_name":"Yangzhou Polytechnic Institute","ror":"https://ror.org/02grzhe48","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210118178"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dong Guo","raw_affiliation_strings":["School of Mathematical Sciences, Yangzhou Polytechnic College, Yangzhou 225009, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Yangzhou Polytechnic College, Yangzhou 225009, China","institution_ids":["https://openalex.org/I4210118178"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043565019","display_name":"Huo Tang","orcid":"https://orcid.org/0000-0002-5685-9784"},"institutions":[{"id":"https://openalex.org/I193114190","display_name":"Chifeng University","ror":"https://ror.org/05wr48765","country_code":"CN","type":"education","lineage":["https://openalex.org/I193114190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huo Tang","raw_affiliation_strings":["College of Mathematics and Computer Science, Chifeng University, Chifeng 024000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Chifeng University, Chifeng 024000, China","institution_ids":["https://openalex.org/I193114190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100433169","display_name":"Jun Zhang","orcid":"https://orcid.org/0000-0002-5532-872X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jun Zhang","raw_affiliation_strings":["Students\u2019 Affairs Office, Chuzhou Polytechnic College, Chuzhou 239000, China","Students' Affairs Office, Chuzhou Polytechnic College, Chuzhou 239000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Students\u2019 Affairs Office, Chuzhou Polytechnic College, Chuzhou 239000, China","institution_ids":[]},{"raw_affiliation_string":"Students' Affairs Office, Chuzhou Polytechnic College, Chuzhou 239000, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100643159","display_name":"Zongtao Li","orcid":"https://orcid.org/0000-0001-7745-2783"},"institutions":[{"id":"https://openalex.org/I4210141264","display_name":"Shanghai Civil Aviation College","ror":"https://ror.org/03kkh3m26","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210141264"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zongtao Li","raw_affiliation_strings":["Faculty of Humanities and Social Sciences, Guangzhou Civil Aviation College, Guangzhou 510403, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Humanities and Social Sciences, Guangzhou Civil Aviation College, Guangzhou 510403, China","institution_ids":["https://openalex.org/I4210141264"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049723096","display_name":"Qingbing Xu","orcid":"https://orcid.org/0000-0001-9892-2350"},"institutions":[{"id":"https://openalex.org/I4210115456","display_name":"Chuzhou University","ror":"https://ror.org/037663q52","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210115456"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingbing Xu","raw_affiliation_strings":["Department of Basic Disciplines, Chuzhou Polytechnic College, Chuzhou 239000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Basic Disciplines, Chuzhou Polytechnic College, Chuzhou 239000, China","institution_ids":["https://openalex.org/I4210115456"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033747420","display_name":"En Ao","orcid":"https://orcid.org/0000-0002-4153-5605"},"institutions":[{"id":"https://openalex.org/I193114190","display_name":"Chifeng University","ror":"https://ror.org/05wr48765","country_code":"CN","type":"education","lineage":["https://openalex.org/I193114190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"En Ao","raw_affiliation_strings":["College of Mathematics and Computer Science, Chifeng University, Chifeng 024000, China"],"raw_orcid":"https://orcid.org/0000-0002-4153-5605","affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Chifeng University, Chifeng 024000, China","institution_ids":["https://openalex.org/I193114190"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100780955"],"corresponding_institution_ids":["https://openalex.org/I4210118178"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.5264,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59167514,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"15","issue":"6","first_page":"1176","last_page":"1176"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11822","display_name":"Analytic and geometric function theory","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.9965000152587891,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.987500011920929,"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/mathematics","display_name":"Mathematics","score":0.7399991750717163},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.669503927230835},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6468944549560547},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6221011281013489},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5935045480728149},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5642663836479187},{"id":"https://openalex.org/keywords/hankel-transform","display_name":"Hankel transform","score":0.47236567735671997},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42773517966270447},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36744093894958496},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15354260802268982},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.1385480761528015},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10389405488967896}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7399991750717163},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.669503927230835},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6468944549560547},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6221011281013489},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5935045480728149},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5642663836479187},{"id":"https://openalex.org/C57640460","wikidata":"https://www.wikidata.org/wiki/Q155208","display_name":"Hankel transform","level":3,"score":0.47236567735671997},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42773517966270447},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36744093894958496},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15354260802268982},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.1385480761528015},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10389405488967896},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym15061176","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15061176","pdf_url":"https://www.mdpi.com/2073-8994/15/6/1176/pdf?version=1685514986","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:acc35d8efe08493aa62406991b77a862","is_oa":false,"landing_page_url":"https://doaj.org/article/acc35d8efe08493aa62406991b77a862","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 6, p 1176 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym15061176","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15061176","pdf_url":"https://www.mdpi.com/2073-8994/15/6/1176/pdf?version=1685514986","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1329189065","display_name":null,"funder_award_id":"NJYT-18-A14","funder_id":"https://openalex.org/F4320322868","funder_display_name":"Natural Science Foundation of Inner Mongolia"},{"id":"https://openalex.org/G1452753024","display_name":null,"funder_award_id":"KJ2020A0993","funder_id":"https://openalex.org/F4320326664","funder_display_name":"Anhui Provincial Department of Education"},{"id":"https://openalex.org/G2020986417","display_name":"\u4e0d\u540c\u533a\u57df\u4e0a\u9ad8\u9636\u5fae\u5206\u4ece\u5c5e\u548c\u5fae\u5206\u8d85\u4ece\u5c5e\u95ee\u9898\u7684\u7814\u7a76","funder_award_id":"11561001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4181541889","display_name":null,"funder_award_id":"2018MS01026","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5485620338","display_name":null,"funder_award_id":"11271045","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6596528123","display_name":null,"funder_award_id":"2018MS01026","funder_id":"https://openalex.org/F4320322868","funder_display_name":"Natural Science Foundation of Inner Mongolia"},{"id":"https://openalex.org/G6774109433","display_name":null,"funder_award_id":"11271045","funder_id":"https://openalex.org/F4320322868","funder_display_name":"Natural Science Foundation of Inner Mongolia"},{"id":"https://openalex.org/G7611675880","display_name":null,"funder_award_id":"2020MS01010","funder_id":"https://openalex.org/F4320322868","funder_display_name":"Natural Science Foundation of Inner Mongolia"},{"id":"https://openalex.org/G8086117107","display_name":null,"funder_award_id":"11561001","funder_id":"https://openalex.org/F4320322868","funder_display_name":"Natural Science Foundation of Inner Mongolia"},{"id":"https://openalex.org/G8541637264","display_name":null,"funder_award_id":"NJYT-18-A14","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8569001558","display_name":null,"funder_award_id":"KJ2020ZD74","funder_id":"https://openalex.org/F4320326664","funder_display_name":"Anhui Provincial Department of Education"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322868","display_name":"Natural Science Foundation of Inner Mongolia","ror":null},{"id":"https://openalex.org/F4320326664","display_name":"Anhui Provincial Department of Education","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4378878848.pdf"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W273300817","https://openalex.org/W640886871","https://openalex.org/W1973599120","https://openalex.org/W1995018285","https://openalex.org/W2076437247","https://openalex.org/W2081564218","https://openalex.org/W2099737046","https://openalex.org/W2617099555","https://openalex.org/W2795776160","https://openalex.org/W2809946419","https://openalex.org/W2964239686","https://openalex.org/W2980679998","https://openalex.org/W3019922760","https://openalex.org/W3063567849","https://openalex.org/W3119381024","https://openalex.org/W3202146850","https://openalex.org/W3204772018","https://openalex.org/W4206191878","https://openalex.org/W4206680080","https://openalex.org/W4224943999","https://openalex.org/W4231478999","https://openalex.org/W4293127594","https://openalex.org/W4315474410","https://openalex.org/W4321096152","https://openalex.org/W4361767677","https://openalex.org/W4382238839","https://openalex.org/W6674898241","https://openalex.org/W6773315469","https://openalex.org/W6784703816","https://openalex.org/W6813136656"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2384511160","https://openalex.org/W1977837568","https://openalex.org/W2005648127","https://openalex.org/W2902363431","https://openalex.org/W2114743269","https://openalex.org/W3164354332","https://openalex.org/W3152863814","https://openalex.org/W74469192","https://openalex.org/W4387635768"],"abstract_inverted_index":{"LetN":[0],"be":[1],"the":[2,14,22,24,39],"class":[3,15],"of":[4,16,35],"functions":[5,17],"that":[6],"convex":[7],"in":[8,38],"one":[9],"direction":[10],"and":[11],"M":[12],"denote":[13],"zf\u2032(z),":[18],"where":[19],"f\u2208N.":[20],"In":[21],"paper,":[23],"third-order":[25],"Hankel":[26],"determinants":[27],"for":[28],"these":[29],"classes":[30],"are":[31,41],"estimated.":[32],"The":[33],"estimates":[34],"H3,1(f)":[36],"obtained":[37],"paper":[40],"improved.":[42]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}