{"id":"https://openalex.org/W2127734334","doi":"https://doi.org/10.1155/ijmms/2006/38089","title":"Starlikeness and convexity of a class of analytic functions","display_name":"Starlikeness and convexity of a class of analytic functions","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2127734334","doi":"https://doi.org/10.1155/ijmms/2006/38089","mag":"2127734334"},"language":"en","primary_location":{"id":"doi:10.1155/ijmms/2006/38089","is_oa":true,"landing_page_url":"https://doi.org/10.1155/ijmms/2006/38089","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2006/038089.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2006/038089.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088210773","display_name":"Nikola Tuneski","orcid":"https://orcid.org/0000-0003-3889-0048"},"institutions":[{"id":"https://openalex.org/I76245029","display_name":"Ss. Cyril and Methodius University in Skopje","ror":"https://ror.org/02wk2vx54","country_code":"MK","type":"education","lineage":["https://openalex.org/I76245029"]}],"countries":["MK"],"is_corresponding":false,"raw_author_name":"Nikola Tuneski","raw_affiliation_strings":["Faculty of Mechanical Engineering, Ss. Cyril and Methodius University, Karpo\u0161 II b.b., Skopje 1000, Macedonia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mechanical Engineering, Ss. Cyril and Methodius University, Karpo\u0161 II b.b., Skopje 1000, Macedonia","institution_ids":["https://openalex.org/I76245029"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037106696","display_name":"H\u00fcseyi\u0307n Irmak","orcid":"https://orcid.org/0000-0003-1897-6725"},"institutions":[{"id":"https://openalex.org/I188740104","display_name":"Ba\u015fkent University","ror":"https://ror.org/02v9bqx10","country_code":"TR","type":"education","lineage":["https://openalex.org/I188740104"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"H\u00fcseyin Irmak","raw_affiliation_strings":["Department of Mathematics Education, Faculty of Education, Ba\u015fkent University, Ba\u011flica Campus, Ba\u011flica, Etimesgut, Ankara 06530, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Faculty of Education, Ba\u015fkent University, Ba\u011flica Campus, Ba\u011flica, Etimesgut, Ankara 06530, Turkey","institution_ids":["https://openalex.org/I188740104"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.407,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.62409996,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2006","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":0.9997000098228455,"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":0.9997000098228455,"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/T14303","display_name":"Polymer Synthesis and Characterization","score":0.9426000118255615,"subfield":{"id":"https://openalex.org/subfields/2507","display_name":"Polymers and Plastics"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8432601690292358},{"id":"https://openalex.org/keywords/unit-disk","display_name":"Unit disk","score":0.7319499850273132},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.72764652967453},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6564199924468994},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5806014537811279},{"id":"https://openalex.org/keywords/analytic-function","display_name":"Analytic function","score":0.5796130299568176},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.4846689999103546},{"id":"https://openalex.org/keywords/subordination","display_name":"Subordination (linguistics)","score":0.4828282296657562},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3047126531600952}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8432601690292358},{"id":"https://openalex.org/C47177299","wikidata":"https://www.wikidata.org/wiki/Q2390323","display_name":"Unit disk","level":2,"score":0.7319499850273132},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.72764652967453},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6564199924468994},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5806014537811279},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.5796130299568176},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.4846689999103546},{"id":"https://openalex.org/C2777406531","wikidata":"https://www.wikidata.org/wiki/Q2031017","display_name":"Subordination (linguistics)","level":2,"score":0.4828282296657562},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3047126531600952},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/ijmms/2006/38089","is_oa":true,"landing_page_url":"https://doi.org/10.1155/ijmms/2006/38089","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2006/038089.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.603.7718","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.603.7718","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.emis.de/journals/HOA/IJMMS/Volume2006/038089.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:hin:jijmms:038089","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2006/038089.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:a601e8969bb84be6a04f228cdbe032d1","is_oa":true,"landing_page_url":"https://doaj.org/article/a601e8969bb84be6a04f228cdbe032d1","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":"International Journal of Mathematics and Mathematical Sciences, Vol 2006 (2006)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/ijmms/2006/38089","is_oa":true,"landing_page_url":"https://doi.org/10.1155/ijmms/2006/38089","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2006/038089.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322626","display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu","ror":"https://ror.org/04w9kkr77"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2127734334.pdf","grobid_xml":"https://content.openalex.org/works/W2127734334.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1519277441","https://openalex.org/W1623482687","https://openalex.org/W1967148597","https://openalex.org/W1996542263","https://openalex.org/W2003606952","https://openalex.org/W2010132456","https://openalex.org/W2034015901","https://openalex.org/W2163795746","https://openalex.org/W2527467142","https://openalex.org/W2783200706","https://openalex.org/W4233886660","https://openalex.org/W4285719527","https://openalex.org/W6728013799"],"related_works":["https://openalex.org/W1497735364","https://openalex.org/W4388477834","https://openalex.org/W2166124921","https://openalex.org/W2983843394","https://openalex.org/W2142956537","https://openalex.org/W1994650426","https://openalex.org/W2045056182","https://openalex.org/W749293955","https://openalex.org/W2292366501","https://openalex.org/W2139202366"],"abstract_inverted_index":{"Let":[0],"be":[1],"the":[2,8,38,94,161,175,181],"class":[3,39,182],"of":[4,168,174],"analytic":[5],"functions":[6],"in":[7],"unit":[9],"disk":[10],"that":[11,90],"are":[12],"normalized":[13],"with":[14],"f":[15,46,54,68,105,113,132,137],"(0)":[16,19],"=":[17,22,44,103,130],"f\u2032":[18,59,64,109,142],"\u2212":[20,49,72,146,152],"1":[21],"0":[23,80],"and":[24,85,125,173],"let":[25],"\u22121":[26],"\u2264":[27,31,81,83],"B":[28,101,122],"&lt;":[29,75],"A":[30,99,118],"1.":[32],"In":[33],"this":[34],"paper":[35],"we":[36],"study":[37],"G":[40,183],"\u03bb":[41,76,184],",":[42,77,100,185],"\u03b1":[43,50,52,73,82,186],"{":[45,104,131],"\u2208":[47,106,133],":|(1":[48],"+":[51,117,121,135,149,155],"z":[53,57,61,63,66,70,78,108,111,115,136,140,144,150,153],"\u2033":[55,138],"(":[56,60,65,69,110,114,127,139,143],")/":[58,67,112,141],"))/":[62],")\u2212(1":[71],")|":[74],"\u2208},":[79],"1,":[84],"give":[86],"sharp":[87,165],"sufficient":[88],"conditions":[89],"embed":[91],"it":[92],"into":[93],"classes":[95],"S":[96],"\u2217":[97],"[":[98],"]":[102],":":[107],")\u227a(1":[116,145],"z)":[119,123],"/(1":[120],"}":[124],"K":[126],"\u03b4":[128,147,156],")":[129,154],":1":[134],")(1":[148],")/(1":[151],"},":[157],"where":[158],"\u201c\u227a\u201d":[159],"denotes":[160],"usual":[162],"subordination.":[163],"Also,":[164],"upper":[166],"bound":[167],"|":[169,172],"a":[170],"2":[171],"Fekete\u2010Szeg\u00f6":[176],"functional":[177],"is":[178],"given":[179],"for":[180],".":[187]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
