{"id":"https://openalex.org/W4401103632","doi":"https://doi.org/10.3390/axioms13080509","title":"Coefficient Estimates for New Subclasses of Bi-Univalent Functions with Bounded Boundary Rotation by Using Faber Polynomial Technique","display_name":"Coefficient Estimates for New Subclasses of Bi-Univalent Functions with Bounded Boundary Rotation by Using Faber Polynomial Technique","publication_year":2024,"publication_date":"2024-07-28","ids":{"openalex":"https://openalex.org/W4401103632","doi":"https://doi.org/10.3390/axioms13080509"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13080509","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13080509","pdf_url":"https://www.mdpi.com/2075-1680/13/8/509/pdf?version=1722419639","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/2075-1680/13/8/509/pdf?version=1722419639","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":["School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China","institution_ids":["https://openalex.org/I193114190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101622907","display_name":"P. L. Sharma","orcid":null},"institutions":[{"id":"https://openalex.org/I33585257","display_name":"Anna University, Chennai","ror":"https://ror.org/01qhf1r47","country_code":"IN","type":"education","lineage":["https://openalex.org/I33585257"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Prathviraj Sharma","raw_affiliation_strings":["Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, India","institution_ids":["https://openalex.org/I33585257"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082524220","display_name":"S. Sivasubramanian","orcid":"https://orcid.org/0000-0002-7294-5922"},"institutions":[{"id":"https://openalex.org/I33585257","display_name":"Anna University, Chennai","ror":"https://ror.org/01qhf1r47","country_code":"IN","type":"education","lineage":["https://openalex.org/I33585257"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Srikandan Sivasubramanian","raw_affiliation_strings":["Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, India","institution_ids":["https://openalex.org/I33585257"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082524220"],"corresponding_institution_ids":["https://openalex.org/I33585257"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.8994,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.84174576,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"13","issue":"8","first_page":"509","last_page":"509"},"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.9811000227928162,"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":0.9453999996185303,"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/bounded-function","display_name":"Bounded function","score":0.8316900134086609},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6986417770385742},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6970692873001099},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.6908999085426331},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6556941270828247},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.5484365820884705},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.48391085863113403},{"id":"https://openalex.org/keywords/rotation-number","display_name":"Rotation number","score":0.44811588525772095},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23680910468101501},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08970066905021667}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.8316900134086609},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6986417770385742},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6970692873001099},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.6908999085426331},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6556941270828247},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.5484365820884705},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48391085863113403},{"id":"https://openalex.org/C135007989","wikidata":"https://www.wikidata.org/wiki/Q643156","display_name":"Rotation number","level":3,"score":0.44811588525772095},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23680910468101501},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08970066905021667},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13080509","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13080509","pdf_url":"https://www.mdpi.com/2075-1680/13/8/509/pdf?version=1722419639","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:6437867efa964806826b443523a5744b","is_oa":true,"landing_page_url":"https://doaj.org/article/6437867efa964806826b443523a5744b","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 13, Iss 8, p 509 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13080509","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13080509","pdf_url":"https://www.mdpi.com/2075-1680/13/8/509/pdf?version=1722419639","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":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4401103632.pdf"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1563966693","https://openalex.org/W1763632018","https://openalex.org/W1963790780","https://openalex.org/W1978554979","https://openalex.org/W1985494759","https://openalex.org/W2017765176","https://openalex.org/W2018712748","https://openalex.org/W2033036473","https://openalex.org/W2034366042","https://openalex.org/W2039692239","https://openalex.org/W2054180108","https://openalex.org/W2074372080","https://openalex.org/W2335277754","https://openalex.org/W2964112486","https://openalex.org/W3013824873","https://openalex.org/W4241120182","https://openalex.org/W4387847706","https://openalex.org/W4388144306","https://openalex.org/W4390403314","https://openalex.org/W6637844332"],"related_works":["https://openalex.org/W2169724170","https://openalex.org/W2161293640","https://openalex.org/W2025928892","https://openalex.org/W1561476987","https://openalex.org/W4301267788","https://openalex.org/W2205731796","https://openalex.org/W2007673253","https://openalex.org/W2013697769","https://openalex.org/W4288261726","https://openalex.org/W2968087630"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"the":[3,6,12,34,37,42],"authors":[4],"use":[5],"Faber":[7],"polynomial":[8],"expansions":[9],"to":[10],"find":[11],"general":[13],"coefficient":[14,39],"estimates":[15],"for":[16],"a":[17],"few":[18],"new":[19],"subclasses":[20],"of":[21,33],"bi-univalent":[22],"functions":[23],"with":[24],"bounded":[25,29],"boundary":[26],"rotation":[27],"and":[28],"radius":[30],"rotation.":[31],"Some":[32],"results":[35],"improve":[36],"existing":[38],"bounds":[40],"in":[41],"literature.":[43]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-27T09:02:27.158192","created_date":"2025-10-10T00:00:00"}