{"id":"https://openalex.org/W2144506193","doi":"https://doi.org/10.1155/2011/834064","title":"On Starlike and Convex Functions with Respect to <i>k</i>\u2010Symmetric Points","display_name":"On Starlike and Convex Functions with Respect to <i>k</i>\u2010Symmetric Points","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2144506193","doi":"https://doi.org/10.1155/2011/834064","mag":"2144506193"},"language":"en","primary_location":{"id":"doi:10.1155/2011/834064","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2011/834064","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2011/834064.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/2011/834064.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005354501","display_name":"Afaf A. Ali Abubaker","orcid":null},"institutions":[{"id":"https://openalex.org/I885383172","display_name":"National University of Malaysia","ror":"https://ror.org/00bw8d226","country_code":"MY","type":"education","lineage":["https://openalex.org/I885383172"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Afaf A. Ali Abubaker","raw_affiliation_strings":["School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, 43600 Selangor, Malaysia","Universiti Kebangsaan Malaysia"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, 43600 Selangor, Malaysia","institution_ids":["https://openalex.org/I885383172"]},{"raw_affiliation_string":"Universiti Kebangsaan Malaysia","institution_ids":["https://openalex.org/I885383172"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018818902","display_name":"Maslina Darus","orcid":"https://orcid.org/0000-0001-9138-916X"},"institutions":[{"id":"https://openalex.org/I885383172","display_name":"National University of Malaysia","ror":"https://ror.org/00bw8d226","country_code":"MY","type":"education","lineage":["https://openalex.org/I885383172"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Maslina Darus","raw_affiliation_strings":["School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, 43600 Selangor, Malaysia","National university of Malaysia"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, 43600 Selangor, Malaysia","institution_ids":["https://openalex.org/I885383172"]},{"raw_affiliation_string":"National university of Malaysia","institution_ids":["https://openalex.org/I885383172"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005354501"],"corresponding_institution_ids":["https://openalex.org/I885383172"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.3774,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.61792965,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2011","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":0.9998999834060669,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9308652281761169},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5927029848098755},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5264509320259094},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5264145731925964},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.48234719038009644},{"id":"https://openalex.org/keywords/analytic-function","display_name":"Analytic function","score":0.46167752146720886},{"id":"https://openalex.org/keywords/symmetric-function","display_name":"Symmetric function","score":0.45986294746398926},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.44818875193595886},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4427146315574646},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3704206645488739},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0686899721622467}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9308652281761169},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5927029848098755},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5264509320259094},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5264145731925964},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.48234719038009644},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.46167752146720886},{"id":"https://openalex.org/C3746008","wikidata":"https://www.wikidata.org/wiki/Q981351","display_name":"Symmetric function","level":2,"score":0.45986294746398926},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.44818875193595886},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4427146315574646},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3704206645488739},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0686899721622467},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2011/834064","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2011/834064","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2011/834064.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:doaj.org/article:fa40da7e2a284d0a958e292d9aaea60b","is_oa":true,"landing_page_url":"https://doaj.org/article/fa40da7e2a284d0a958e292d9aaea60b","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-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 2011 (2011)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2011/834064","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/834064","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"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":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2011/834064","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2011/834064","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2011/834064.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":[{"score":0.5899999737739563,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2144506193.pdf","grobid_xml":"https://content.openalex.org/works/W2144506193.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W38638828","https://openalex.org/W619924408","https://openalex.org/W1950030264","https://openalex.org/W1991246143","https://openalex.org/W2010134463","https://openalex.org/W2014133003","https://openalex.org/W2017520442","https://openalex.org/W2037289103","https://openalex.org/W2085082416","https://openalex.org/W2140036456","https://openalex.org/W2186225279","https://openalex.org/W2303511364","https://openalex.org/W2607341771","https://openalex.org/W2609162953","https://openalex.org/W2730583376","https://openalex.org/W2735131451","https://openalex.org/W4233886660","https://openalex.org/W4285719527","https://openalex.org/W4367058547","https://openalex.org/W6737365698"],"related_works":["https://openalex.org/W4221012998","https://openalex.org/W3033089384","https://openalex.org/W3190983500","https://openalex.org/W2964006714","https://openalex.org/W3004228824","https://openalex.org/W2757875173","https://openalex.org/W2103639728","https://openalex.org/W2600894153","https://openalex.org/W2188038098","https://openalex.org/W2611101415"],"abstract_inverted_index":{"We":[0],"introduce":[1],"new":[2],"subclasses":[3],"and":[4],"of":[5],"analytic":[6],"functions":[7],"with":[8],"respect":[9],"to":[10],"k":[11],"\u2010symmetric":[12],"points":[13],"defined":[14],"by":[15],"differential":[16],"operator.":[17],"Some":[18],"interesting":[19],"properties":[20],"for":[21],"these":[22],"classes":[23],"are":[24],"obtained.":[25]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}