{"id":"https://openalex.org/W4408422947","doi":"https://doi.org/10.3390/sym17030438","title":"Geometric Properties of the m-Leaf Function and Connected Subclasses","display_name":"Geometric Properties of the m-Leaf Function and Connected Subclasses","publication_year":2025,"publication_date":"2025-03-14","ids":{"openalex":"https://openalex.org/W4408422947","doi":"https://doi.org/10.3390/sym17030438"},"language":"en","primary_location":{"id":"doi:10.3390/sym17030438","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17030438","pdf_url":"https://www.mdpi.com/2073-8994/17/3/438/pdf?version=1741961038","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/17/3/438/pdf?version=1741961038","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090948083","display_name":"S. Baskaran","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Baskaran Sudharsanan","raw_affiliation_strings":["Department of Mathematics, Agurchand Manmull Jain College, Meenambakkam, Chennai 600061, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Agurchand Manmull Jain College, Meenambakkam, Chennai 600061, Tamil Nadu, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"Saravanan Gunasekar","orcid":"https://orcid.org/0000-0002-5706-4174"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Saravanan Gunasekar","raw_affiliation_strings":["PG and Research Department of Mathematics, Pachaiyappa\u2019s College, Chennai 600030, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"PG and Research Department of Mathematics, Pachaiyappa\u2019s College, Chennai 600030, Tamil Nadu, India","institution_ids":[]}]},{"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":true,"raw_author_name":"Teodor Bulboac\u0103","raw_affiliation_strings":["Research Center of Applied Analysis, Faculty of Mathematics and Computer Science, Babe\u015f-Bolyai University, 400084 Cluj-Napoca, Romania"],"affiliations":[{"raw_affiliation_string":"Research Center of Applied Analysis, Faculty of Mathematics and Computer Science, Babe\u015f-Bolyai University, 400084 Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I3125347698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085772420"],"corresponding_institution_ids":["https://openalex.org/I3125347698"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":7.7036,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.95921388,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"17","issue":"3","first_page":"438","last_page":"438"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9379000067710876,"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/T12504","display_name":"Mathematics and Applications","score":0.9379000067710876,"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/combinatorics","display_name":"Combinatorics","score":0.501427173614502},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49228373169898987},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4579218626022339},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35988685488700867},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.18602317571640015},{"id":"https://openalex.org/keywords/evolutionary-biology","display_name":"Evolutionary biology","score":0.07692515850067139}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.501427173614502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49228373169898987},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4579218626022339},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35988685488700867},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.18602317571640015},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.07692515850067139}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17030438","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17030438","pdf_url":"https://www.mdpi.com/2073-8994/17/3/438/pdf?version=1741961038","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym17030438","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17030438","pdf_url":"https://www.mdpi.com/2073-8994/17/3/438/pdf?version=1741961038","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4408422947.pdf"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W570775675","https://openalex.org/W1481997517","https://openalex.org/W2031570902","https://openalex.org/W2047621309","https://openalex.org/W3006691498","https://openalex.org/W4392201465","https://openalex.org/W6643524560","https://openalex.org/W6843545006","https://openalex.org/W7081429728"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"In":[0],"this":[1,24,39,70,92],"study,":[2],"we":[3,56,62,72],"introduce":[4,73],"and":[5,23,45,52,61,66,88],"explore":[6],"the":[7,10,16,29,34,50],"properties":[8],"of":[9,38,59,77,91],"m-leaf":[11],"function":[12,25],"Qm":[13],"defined":[14,27],"in":[15,83],"open":[17],"unit":[18],"disk":[19],"D,":[20],"where":[21],"m\u2208N,":[22],"is":[26],"by":[28,86],"relation":[30],"Qm(z):=1+m+1m+2z+1m+2zm+1.":[31],"We":[32],"determine":[33],"main":[35],"geometrical":[36],"characterization":[37],"function,":[40,71],"focusing":[41],"on":[42],"its":[43,46],"univalency":[44],"sharp":[47],"bounds":[48],"for":[49],"real":[51],"imaginary":[53],"modulus.":[54],"Also,":[55],"find":[57],"radius":[58],"convexity,":[60],"give":[63],"a":[64,74],"subordination":[65],"inclusion":[67],"result.":[68],"Using":[69],"new":[75],"subclass":[76],"analytic":[78],"functions":[79],"normalized":[80],"as":[81],"usual":[82],"D":[84],"denoted":[85],"Amr,s,":[87],"an":[89],"investigation":[90],"class":[93],"reveals":[94],"some":[95],"interesting":[96],"properties.":[97]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
