{"id":"https://openalex.org/W7204196806","doi":"https://doi.org/10.1155/jom/8738107","title":"Coefficient Bounds and Fekete\u2013Szeg\u00f6 Inequalities for a New Family of Bi\u2010Univalent Functions Associated With Horadam Polynomial","display_name":"Coefficient Bounds and Fekete\u2013Szeg\u00f6 Inequalities for a New Family of Bi\u2010Univalent Functions Associated With Horadam Polynomial","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7204196806","doi":"https://doi.org/10.1155/jom/8738107"},"language":"en","primary_location":{"id":"doi:10.1155/jom/8738107","doi":"https://doi.org/10.1155/jom/8738107","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jom/8738107","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jom/8738107","source":{"id":"https://openalex.org/S2764668616","display_name":"Journal of Mathematics","issn_l":"2314-4629","issn":["2314-4629","2314-4785"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"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 Mathematics","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W7204196806"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jom/8738107","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101503003","display_name":"Musthafa Ibrahim","orcid":"https://orcid.org/0000-0003-3622-0358","observed_orcids":["https://orcid.org/0000-0003-3622-0358"]},"institutions":[{"id":"https://openalex.org/I4210109238","display_name":"University of Buraimi","ror":"https://ror.org/01q0sjp54","country_code":"OM","type":"education","lineage":["https://openalex.org/I4210109238"]}],"countries":["OM"],"is_corresponding":false,"raw_author_name":"Musthafa Ibrahim","raw_affiliation_strings":["College of Engineering ,  University of Buraimi , P.O. Box 512,  Al Buraimi ,  Oman , uob.edu.om"],"raw_orcid":"https://orcid.org/0000-0003-3622-0358","affiliations":[{"raw_affiliation_string":"College of Engineering ,  University of Buraimi , P.O. Box 512,  Al Buraimi ,  Oman , uob.edu.om","institution_ids":["https://openalex.org/I4210109238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035730555","display_name":"Jihad Ahmed Younis","orcid":"https://orcid.org/0000-0001-7116-3251","observed_orcids":["https://orcid.org/0000-0001-7116-3251"]},"institutions":[{"id":"https://openalex.org/I70374766","display_name":"University of Aden","ror":"https://ror.org/02w043707","country_code":"YE","type":"education","lineage":["https://openalex.org/I70374766"]}],"countries":["YE"],"is_corresponding":true,"raw_author_name":"Jihad Younis","raw_affiliation_strings":["Department of Mathematics ,  Aden University Yemen ,  Aden ,  Yemen , uoh.edu.sa"],"raw_orcid":"https://orcid.org/0000-0001-7116-3251","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  Aden University Yemen ,  Aden ,  Yemen , uoh.edu.sa","institution_ids":["https://openalex.org/I70374766"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011347815","display_name":"Ali N. A. Koam","orcid":"https://orcid.org/0000-0002-5047-9908","observed_orcids":["https://orcid.org/0000-0002-5047-9908"]},"institutions":[{"id":"https://openalex.org/I91450128","display_name":"Jazan University","ror":"https://ror.org/02bjnq803","country_code":"SA","type":"education","lineage":["https://openalex.org/I91450128"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ali N. A. Koam","raw_affiliation_strings":["Department of Mathematics ,  College of Science ,  Jazan University , P.O. Box 114,  Jazan 45142 ,  Saudi Arabia , jazanu.edu.sa"],"raw_orcid":"https://orcid.org/0000-0002-5047-9908","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  College of Science ,  Jazan University , P.O. Box 114,  Jazan 45142 ,  Saudi Arabia , jazanu.edu.sa","institution_ids":["https://openalex.org/I91450128"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107955078","display_name":"Muhammad Uzair Shah","orcid":"https://orcid.org/0009-0003-2285-3565","observed_orcids":["https://orcid.org/0009-0003-2285-3565"]},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mohammad Uzair Shah","raw_affiliation_strings":["School of Mathematical Sciences and Shanghai Key Laboratory of PMMP ,  East China Normal University , 500 Dongchuan Road,  Shanghai 200241 ,  China , ecnu.edu.cn"],"raw_orcid":"https://orcid.org/0009-0003-2285-3565","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and Shanghai Key Laboratory of PMMP ,  East China Normal University , 500 Dongchuan Road,  Shanghai 200241 ,  China , ecnu.edu.cn","institution_ids":["https://openalex.org/I66867065"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5035730555"],"corresponding_institution_ids":["https://openalex.org/I70374766"],"apc_list":{"value":2160,"currency":"USD","value_usd":2160},"apc_paid":{"value":2160,"currency":"USD","value_usd":2160},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2026","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9994999766349792,"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":0.9994999766349792,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":9.999999747378752e-05,"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":0.0,"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/bi-univalent-functions","display_name":"bi-univalent functions","score":0.9980000257492065},{"id":"https://openalex.org/keywords/horadam-polynomials","display_name":"Horadam polynomials","score":0.9959999918937683},{"id":"https://openalex.org/keywords/fekete-szego-inequality","display_name":"Fekete-Szeg\u00f6 inequality","score":0.8889999985694885},{"id":"https://openalex.org/keywords/taylor-maclaurin-coefficients","display_name":"Taylor-Maclaurin coefficients","score":0.9290000200271606},{"id":"https://openalex.org/keywords/coefficient-estimates","display_name":"coefficient estimates","score":0.7360000014305115},{"id":"https://openalex.org/keywords/analytic-functions-in-the-unit-disk","display_name":"analytic functions in the unit disk","score":0.7820000052452087},{"id":"https://openalex.org/keywords/geometric-function-theory","display_name":"geometric function theory","score":0.6629999876022339}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9501000046730042},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5771999955177307},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5575000047683716},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5526000261306763},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.412200003862381},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4041999876499176},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34769999980926514},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3425999879837036},{"id":"https://openalex.org/C84135550","wikidata":"https://www.wikidata.org/wiki/Q3154022","display_name":"Linear inequality","level":3,"score":0.29280000925064087},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2818000018596649},{"id":"https://openalex.org/C89838059","wikidata":"https://www.wikidata.org/wiki/Q623738","display_name":"Coefficient of variation","level":2,"score":0.2574000060558319}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/jom/8738107","doi":"https://doi.org/10.1155/jom/8738107","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jom/8738107","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jom/8738107","source":{"id":"https://openalex.org/S2764668616","display_name":"Journal of Mathematics","issn_l":"2314-4629","issn":["2314-4629","2314-4785"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"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 Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:fe2505df0672431b96276b3f2b1c8066","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/fe2505df0672431b96276b3f2b1c8066","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,"listed_in":[],"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":"Journal of Mathematics, Vol 2026 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/jom/8738107","doi":"https://doi.org/10.1155/jom/8738107","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jom/8738107","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jom/8738107","source":{"id":"https://openalex.org/S2764668616","display_name":"Journal of Mathematics","issn_l":"2314-4629","issn":["2314-4629","2314-4785"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"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 Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204196806.pdf","grobid_xml":"https://content.openalex.org/works/W7204196806.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W88721985","https://openalex.org/W2035281296","https://openalex.org/W2054180108","https://openalex.org/W3128262003","https://openalex.org/W3204709007","https://openalex.org/W4206642570","https://openalex.org/W4210532447","https://openalex.org/W4313260539","https://openalex.org/W4362734286","https://openalex.org/W4391752652","https://openalex.org/W4392387991","https://openalex.org/W4397042646","https://openalex.org/W4402080566","https://openalex.org/W4408648679","https://openalex.org/W4415903786"],"related_works":["https://openalex.org/W2906998942","https://openalex.org/W4284887658","https://openalex.org/W3098471133","https://openalex.org/W3204709007","https://openalex.org/W3140391794","https://openalex.org/W3139400522","https://openalex.org/W4415600904","https://openalex.org/W4281762888","https://openalex.org/W3004277151","https://openalex.org/W7220607737"],"abstract_inverted_index":{"We":[0,39],"define":[1],"in":[2,35,53],"this":[3,19,36],"paper":[4,20],"a":[5],"new":[6,37,68],"class":[7],"of":[8,18,33],"normalized":[9],"bi\u2010univalent":[10],"functions":[11,34],"through":[12],"Horadam":[13],"polynomials.":[14],"The":[15],"main":[16,55],"aim":[17],"is":[21],"to":[22],"provide":[23],"sharp":[24],"estimates":[25,70],"for":[26,45,71],"the":[27,42,51],"second":[28],"and":[29],"third":[30],"Taylor\u2013Maclaurin":[31],"coefficients":[32],"class.":[38],"also":[40,58],"obtain":[41],"Fekete\u2013Szeg\u00f6":[43],"inequality":[44],"these":[46],"functions.":[47],"By":[48],"properly":[49],"specializing":[50],"parameters":[52],"our":[54],"results,":[56],"we":[57],"show":[59],"that":[60],"several":[61],"previously":[62],"known":[63],"results":[64],"as":[65,67,75],"well":[66],"coefficient":[69],"related":[72],"subclasses":[73],"follow":[74],"direct":[76],"consequences.":[77]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2026-08-26T00:00:00"}
