{"id":"https://openalex.org/W4363673617","doi":"https://doi.org/10.3390/axioms12040360","title":"Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination","display_name":"Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination","publication_year":2023,"publication_date":"2023-04-08","ids":{"openalex":"https://openalex.org/W4363673617","doi":"https://doi.org/10.3390/axioms12040360"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12040360","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12040360","pdf_url":"https://www.mdpi.com/2075-1680/12/4/360/pdf?version=1681107537","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/12/4/360/pdf?version=1681107537","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081728545","display_name":"Sunday Oluwafemi Olatunji","orcid":"https://orcid.org/0000-0002-4651-6876"},"institutions":[{"id":"https://openalex.org/I180664298","display_name":"Federal University of Technology","ror":"https://ror.org/01pvx8v81","country_code":"NG","type":"education","lineage":["https://openalex.org/I180664298"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"Sunday Olufemi Olatunji","raw_affiliation_strings":["Department of Mathematical Sciences, Federal University of Technology, P.M.B. 704, Akure 340110, Nigeria"],"raw_orcid":"https://orcid.org/0000-0002-4651-6876","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Federal University of Technology, P.M.B. 704, Akure 340110, Nigeria","institution_ids":["https://openalex.org/I180664298"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047392709","display_name":"Matthew Olanrewaju Oluwayemi","orcid":"https://orcid.org/0000-0003-3170-6818"},"institutions":[{"id":"https://openalex.org/I304664074","display_name":"Landmark University","ror":"https://ror.org/04gw4zv66","country_code":"NG","type":"education","lineage":["https://openalex.org/I304664074"]}],"countries":["NG"],"is_corresponding":true,"raw_author_name":"Matthew Olanrewaju Oluwayemi","raw_affiliation_strings":["Department of Mathematics, Landmark University, P.M.B. 1001, Omu-Aran 251103, Nigeria","Quality Education Research Group, Landmark University, SDG 4, Omu-Aran 251103, Nigeria"],"raw_orcid":"https://orcid.org/0000-0003-3170-6818","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Landmark University, P.M.B. 1001, Omu-Aran 251103, Nigeria","institution_ids":["https://openalex.org/I304664074"]},{"raw_affiliation_string":"Quality Education Research Group, Landmark University, SDG 4, Omu-Aran 251103, Nigeria","institution_ids":["https://openalex.org/I304664074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020913149","display_name":"Georgia Irina Oros","orcid":"https://orcid.org/0000-0003-2902-4455"},"institutions":[{"id":"https://openalex.org/I162871001","display_name":"University of Oradea","ror":"https://ror.org/00wzhv093","country_code":"RO","type":"education","lineage":["https://openalex.org/I162871001"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Georgia Irina Oros","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania"],"raw_orcid":"https://orcid.org/0000-0003-2902-4455","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania","institution_ids":["https://openalex.org/I162871001"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020913149","https://openalex.org/A5047392709"],"corresponding_institution_ids":["https://openalex.org/I162871001","https://openalex.org/I304664074"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":3.1788,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.91538853,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"12","issue":"4","first_page":"360","last_page":"360"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9998999834060669,"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":0.9998999834060669,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9708999991416931,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9555000066757202,"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/subordination","display_name":"Subordination (linguistics)","score":0.8522551655769348},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.825986385345459},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6840744018554688},{"id":"https://openalex.org/keywords/sigmoid-function","display_name":"Sigmoid function","score":0.5942417979240417},{"id":"https://openalex.org/keywords/subclass","display_name":"Subclass","score":0.5104061961174011},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5051088929176331},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.49559247493743896},{"id":"https://openalex.org/keywords/analytic-function","display_name":"Analytic function","score":0.48132574558258057},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4762440025806427},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.444214403629303},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3752634525299072},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3343750238418579},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19571927189826965},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08356189727783203}],"concepts":[{"id":"https://openalex.org/C2777406531","wikidata":"https://www.wikidata.org/wiki/Q2031017","display_name":"Subordination (linguistics)","level":2,"score":0.8522551655769348},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.825986385345459},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6840744018554688},{"id":"https://openalex.org/C81388566","wikidata":"https://www.wikidata.org/wiki/Q526668","display_name":"Sigmoid function","level":3,"score":0.5942417979240417},{"id":"https://openalex.org/C2776194381","wikidata":"https://www.wikidata.org/wiki/Q3965271","display_name":"Subclass","level":3,"score":0.5104061961174011},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5051088929176331},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49559247493743896},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.48132574558258057},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4762440025806427},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.444214403629303},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3752634525299072},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3343750238418579},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19571927189826965},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08356189727783203},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C159654299","wikidata":"https://www.wikidata.org/wiki/Q79460","display_name":"Antibody","level":2,"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},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms12040360","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12040360","pdf_url":"https://www.mdpi.com/2075-1680/12/4/360/pdf?version=1681107537","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4a26e8762bcb45f9aa326b5a2d5eeef9","is_oa":true,"landing_page_url":"https://doaj.org/article/4a26e8762bcb45f9aa326b5a2d5eeef9","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 12, Iss 4, p 360 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/12/4/360/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms12040360","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 12; Issue 4; Pages: 360","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms12040360","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12040360","pdf_url":"https://www.mdpi.com/2075-1680/12/4/360/pdf?version=1681107537","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/12","score":0.5699999928474426,"display_name":"Responsible consumption and production"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4363673617.pdf"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W263626930","https://openalex.org/W1970885576","https://openalex.org/W1978490767","https://openalex.org/W1988930470","https://openalex.org/W1990268629","https://openalex.org/W1997858655","https://openalex.org/W2011690209","https://openalex.org/W2020415435","https://openalex.org/W2029942305","https://openalex.org/W2031275989","https://openalex.org/W2031476044","https://openalex.org/W2055851657","https://openalex.org/W2067680085","https://openalex.org/W2074019485","https://openalex.org/W2082074530","https://openalex.org/W2313299119","https://openalex.org/W2562512100","https://openalex.org/W2625984197","https://openalex.org/W2806684594","https://openalex.org/W2913778218","https://openalex.org/W2970117558","https://openalex.org/W2979233735","https://openalex.org/W2981677996","https://openalex.org/W3081606159","https://openalex.org/W3160001446","https://openalex.org/W3214788670","https://openalex.org/W4214909391","https://openalex.org/W4224993594","https://openalex.org/W4229038822","https://openalex.org/W4281807159","https://openalex.org/W4286218428","https://openalex.org/W4286638076","https://openalex.org/W4287833615","https://openalex.org/W4289529636","https://openalex.org/W6752682247","https://openalex.org/W6766538240","https://openalex.org/W6782244976","https://openalex.org/W6794685712"],"related_works":["https://openalex.org/W2773677291","https://openalex.org/W2185291102","https://openalex.org/W4389992204","https://openalex.org/W2770665741","https://openalex.org/W1497735364","https://openalex.org/W4248353629","https://openalex.org/W1994878099","https://openalex.org/W1524271899","https://openalex.org/W2241708181","https://openalex.org/W745226657"],"abstract_inverted_index":{"Gegenbauer":[0],"polynomials":[1],"constitute":[2],"a":[3,77],"numerical":[4],"tool":[5,51],"that":[6],"has":[7],"attracted":[8],"the":[9,28,55,66,92,95,99,104,119,131],"interest":[10],"of":[11,27,58,65,80,94,106],"many":[12,25,44],"function":[13,36,101,122],"theorists":[14],"in":[15,24,34,69,114],"recent":[16],"times":[17],"mainly":[18],"due":[19],"to":[20,73,116,126],"their":[21],"real-life":[22],"applications":[23,33],"areas":[26],"sciences":[29],"and":[30,60,75,98,102,123],"engineering.":[31],"Their":[32],"geometric":[35],"theory":[37],"(GFT)":[38],"have":[39],"also":[40],"been":[41],"considered":[42,113],"by":[43],"researchers.":[45],"In":[46],"this":[47,49,70,110],"paper,":[48],"powerful":[50],"is":[52,72,85],"associated":[53],"with":[54],"prolific":[56],"concepts":[57],"convolution":[59,93],"subordination.":[61,107],"The":[62],"main":[63],"purpose":[64],"research":[67],"contained":[68,132],"paper":[71],"introduce":[74],"study":[76],"new":[78],"subclass":[79,84,111],"analytic":[81],"functions.":[82,133],"This":[83],"presented":[86],"using":[87],"an":[88],"operator":[89],"defined":[90],"as":[91],"generalized":[96],"distribution":[97],"error":[100],"applying":[103],"principle":[105],"Investigations":[108],"into":[109],"are":[112],"connection":[115],"Carath\u00e9odory":[117],"functions,":[118],"modified":[120],"sigmoid":[121],"Bell":[124],"numbers":[125],"obtain":[127],"coefficient":[128],"estimates":[129],"for":[130]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2}],"updated_date":"2026-05-28T09:10:13.091523","created_date":"2023-04-11T00:00:00"}