{"id":"https://openalex.org/W4281865573","doi":"https://doi.org/10.3390/axioms11060267","title":"An Avant-Garde Construction for Subclasses of Analytic Bi-Univalent Functions","display_name":"An Avant-Garde Construction for Subclasses of Analytic Bi-Univalent Functions","publication_year":2022,"publication_date":"2022-06-01","ids":{"openalex":"https://openalex.org/W4281865573","doi":"https://doi.org/10.3390/axioms11060267"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11060267","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11060267","pdf_url":"https://www.mdpi.com/2075-1680/11/6/267/pdf?version=1654064392","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/2075-1680/11/6/267/pdf?version=1654064392","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031062201","display_name":"Feras Yousef","orcid":"https://orcid.org/0000-0003-2740-7081"},"institutions":[{"id":"https://openalex.org/I114972647","display_name":"University of Jordan","ror":"https://ror.org/05k89ew48","country_code":"JO","type":"education","lineage":["https://openalex.org/I114972647"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Feras Yousef","raw_affiliation_strings":["Department of Mathematics, The University of Jordan, Amman 11942, Jordan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Jordan, Amman 11942, Jordan","institution_ids":["https://openalex.org/I114972647"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091401373","display_name":"Ala Amourah","orcid":"https://orcid.org/0000-0001-9287-7704"},"institutions":[{"id":"https://openalex.org/I97864281","display_name":"Irbid National University","ror":"https://ror.org/00xfxvy87","country_code":"JO","type":"education","lineage":["https://openalex.org/I97864281"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Ala Amourah","raw_affiliation_strings":["Department of Mathematics, Irbid National University, Irbid 21110, Jordan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Irbid National University, Irbid 21110, Jordan","institution_ids":["https://openalex.org/I97864281"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040041703","display_name":"Basem Aref Frasin","orcid":"https://orcid.org/0000-0001-8608-8063"},"institutions":[{"id":"https://openalex.org/I31079310","display_name":"Al al-Bayt University","ror":"https://ror.org/028jh2126","country_code":"JO","type":"education","lineage":["https://openalex.org/I31079310"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Basem Aref Frasin","raw_affiliation_strings":["Department of Mathematics, Al al-Bayt University, Mafraq 25113, Jordan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Al al-Bayt University, Mafraq 25113, Jordan","institution_ids":["https://openalex.org/I31079310"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085772420","display_name":"Teodor Bulboac\u0103","orcid":"https://orcid.org/0000-0001-8026-218X"},"institutions":[{"id":"https://openalex.org/I3125347698","display_name":"Babe\u0219-Bolyai University","ror":"https://ror.org/02rmd1t30","country_code":"RO","type":"education","lineage":["https://openalex.org/I3125347698"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Teodor Bulboac\u0103","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Babe\u015f-Bolyai University, 400084 Cluj-Napoca, Romania"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Babe\u015f-Bolyai University, 400084 Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I3125347698"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5031062201"],"corresponding_institution_ids":["https://openalex.org/I114972647"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":11.1929,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.9945506,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"11","issue":"6","first_page":"267","last_page":"267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":1.0,"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":1.0,"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":0.9973000288009644,"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.9965999722480774,"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/analytic-function","display_name":"Analytic function","score":0.6554770469665527},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.6486819982528687},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5937056541442871},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5893046259880066},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5796908736228943},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5203549265861511},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5035127997398376},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4725969433784485},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4376239776611328},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35482922196388245},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25759071111679077},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21941998600959778},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10906684398651123},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06415235996246338}],"concepts":[{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.6554770469665527},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.6486819982528687},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5937056541442871},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5893046259880066},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5796908736228943},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5203549265861511},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5035127997398376},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4725969433784485},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4376239776611328},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35482922196388245},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25759071111679077},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21941998600959778},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10906684398651123},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06415235996246338},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11060267","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11060267","pdf_url":"https://www.mdpi.com/2075-1680/11/6/267/pdf?version=1654064392","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:534e9e036ae54986a0ebbfaaac4b171a","is_oa":true,"landing_page_url":"https://doaj.org/article/534e9e036ae54986a0ebbfaaac4b171a","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 11, Iss 6, p 267 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/6/267/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11060267","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 11; Issue 6; Pages: 267","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11060267","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11060267","pdf_url":"https://www.mdpi.com/2075-1680/11/6/267/pdf?version=1654064392","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":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4281865573.pdf","grobid_xml":"https://content.openalex.org/works/W4281865573.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W2003606952","https://openalex.org/W2093737279","https://openalex.org/W2124376566","https://openalex.org/W2134197866","https://openalex.org/W2572275309","https://openalex.org/W2885198535","https://openalex.org/W2980671223","https://openalex.org/W3031197895","https://openalex.org/W3085975832","https://openalex.org/W3093697257","https://openalex.org/W3140169171","https://openalex.org/W3177805202","https://openalex.org/W3188230948","https://openalex.org/W3196487106","https://openalex.org/W3204643836","https://openalex.org/W3207789370","https://openalex.org/W4206378540","https://openalex.org/W4213388323","https://openalex.org/W4213423608","https://openalex.org/W4221082337","https://openalex.org/W4224993594","https://openalex.org/W4226066166","https://openalex.org/W4231017039","https://openalex.org/W4233886660","https://openalex.org/W4298134413","https://openalex.org/W6766538240","https://openalex.org/W6802238853"],"related_works":["https://openalex.org/W2366107444","https://openalex.org/W4388145910","https://openalex.org/W2381570729","https://openalex.org/W1976205134","https://openalex.org/W4248336175","https://openalex.org/W2031260042","https://openalex.org/W2391445434","https://openalex.org/W3009369890","https://openalex.org/W2350442714","https://openalex.org/W2341969494"],"abstract_inverted_index":{"The":[0],"zero-truncated":[1,18],"Poisson":[2,19],"distribution":[3,20],"is":[4],"an":[5],"important":[6],"and":[7,47,49],"appropriate":[8],"model":[9],"for":[10],"many":[11],"real-world":[12],"applications.":[13],"Here,":[14],"we":[15,40,51],"exploit":[16],"the":[17,37,53,69],"probabilities":[21],"to":[22,65],"construct":[23],"a":[24],"new":[25,60],"subclass":[26],"of":[27,43,59],"analytic":[28],"bi-univalent":[29],"functions":[30,35],"involving":[31],"Gegenbauer":[32],"polynomials.":[33],"For":[34],"in":[36,72],"constructed":[38],"class,":[39],"explore":[41],"estimates":[42],"Taylor\u2013Maclaurin":[44],"coefficients":[45],"a2":[46],"a3,":[48],"next,":[50],"solve":[52],"Fekete\u2013Szeg\u0151":[54],"functional":[55],"problem.":[56],"A":[57],"number":[58],"interesting":[61],"results":[62],"are":[63],"presented":[64],"follow":[66],"upon":[67],"specializing":[68],"parameters":[70],"involved":[71],"our":[73],"main":[74],"results.":[75]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":4}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2022-06-13T00:00:00"}