{"id":"https://openalex.org/W4408296201","doi":"https://doi.org/10.24193/subbmath.2025.1.03","title":"Harmonic close-to-convex mappings associated with Salagean \\(q\\)-differential operator","display_name":"Harmonic close-to-convex mappings associated with Salagean \\(q\\)-differential operator","publication_year":2025,"publication_date":"2025-02-25","ids":{"openalex":"https://openalex.org/W4408296201","doi":"https://doi.org/10.24193/subbmath.2025.1.03"},"language":"en","primary_location":{"id":"doi:10.24193/subbmath.2025.1.03","doi":"https://doi.org/10.24193/subbmath.2025.1.03","is_oa":true,"landing_page_url":"https://doi.org/10.24193/subbmath.2025.1.03","pdf_url":"https://www.cs.ubbcluj.ro/journal/studia-mathematica/journal/article/download/1787/pdf","source":{"id":"https://openalex.org/S4210172425","display_name":"Studia Universitatis Babes-Bolyai Matematica","issn_l":"0252-1938","issn":["0252-1938","2065-961X"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","dongbi-d","erih-plus","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310314576","host_organization_name":"Babe\u0219-Bolyai University","host_organization_lineage":["https://openalex.org/P4310314576"],"host_organization_lineage_names":["Babe\u0219-Bolyai University"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Universitatis Babes-Bolyai Matematica","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.cs.ubbcluj.ro/journal/studia-mathematica/journal/article/download/1787/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007590610","display_name":"Omendra Mishra","orcid":"https://orcid.org/0000-0001-9614-8656","observed_orcids":["https://orcid.org/0000-0001-9614-8656"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Omendra Mishra","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089715133","display_name":"Asena \u00c7et\u0131nkaya","orcid":"https://orcid.org/0000-0002-8815-5642","observed_orcids":["https://orcid.org/0000-0002-8815-5642"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Asena Cetinkaya","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5000364389","display_name":"Janusz Sok\u00f3\u0142","orcid":"https://orcid.org/0000-0003-1204-2286","observed_orcids":["https://orcid.org/0000-0003-1204-2286"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Janusz Sokol","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6416,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.85789822,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"70","issue":"1","first_page":"33","last_page":"49"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9994999766349792,"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":0.9994999766349792,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":9.999999747378752e-05,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.0,"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-functions","display_name":"analytic functions","score":0.6240000128746033},{"id":"https://openalex.org/keywords/harmonic-functions","display_name":"harmonic functions","score":0.6029999852180481},{"id":"https://openalex.org/keywords/close-to-convex-functions","display_name":"close-to-convex functions","score":0.7250000238418579},{"id":"https://openalex.org/keywords/coefficient-estimates","display_name":"coefficient estimates","score":0.875},{"id":"https://openalex.org/keywords/convolution-properties","display_name":"convolution properties","score":0.871999979019165},{"id":"https://openalex.org/keywords/partial-sums","display_name":"partial sums","score":0.9760000109672546},{"id":"https://openalex.org/keywords/geometric-function-theory","display_name":"geometric function theory","score":0.6340000033378601}],"concepts":[{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5760713219642639},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5725269317626953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5634837746620178},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5303918719291687},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.5024240016937256},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.47973743081092834},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34286415576934814},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2802676558494568},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09814989566802979},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0957423746585846},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06520512700080872},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.24193/subbmath.2025.1.03","doi":"https://doi.org/10.24193/subbmath.2025.1.03","is_oa":true,"landing_page_url":"https://doi.org/10.24193/subbmath.2025.1.03","pdf_url":"https://www.cs.ubbcluj.ro/journal/studia-mathematica/journal/article/download/1787/pdf","source":{"id":"https://openalex.org/S4210172425","display_name":"Studia Universitatis Babes-Bolyai Matematica","issn_l":"0252-1938","issn":["0252-1938","2065-961X"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","dongbi-d","erih-plus","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310314576","host_organization_name":"Babe\u0219-Bolyai University","host_organization_lineage":["https://openalex.org/P4310314576"],"host_organization_lineage_names":["Babe\u0219-Bolyai University"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Universitatis Babes-Bolyai Matematica","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.24193/subbmath.2025.1.03","doi":"https://doi.org/10.24193/subbmath.2025.1.03","is_oa":true,"landing_page_url":"https://doi.org/10.24193/subbmath.2025.1.03","pdf_url":"https://www.cs.ubbcluj.ro/journal/studia-mathematica/journal/article/download/1787/pdf","source":{"id":"https://openalex.org/S4210172425","display_name":"Studia Universitatis Babes-Bolyai Matematica","issn_l":"0252-1938","issn":["0252-1938","2065-961X"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","dongbi-d","erih-plus","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310314576","host_organization_name":"Babe\u0219-Bolyai University","host_organization_lineage":["https://openalex.org/P4310314576"],"host_organization_lineage_names":["Babe\u0219-Bolyai University"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Universitatis Babes-Bolyai Matematica","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4408296201.pdf","grobid_xml":"https://content.openalex.org/works/W4408296201.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1950030264","https://openalex.org/W1966504542","https://openalex.org/W1988126813","https://openalex.org/W2008052995","https://openalex.org/W2017550232","https://openalex.org/W2027895032","https://openalex.org/W2036871306","https://openalex.org/W2037289103","https://openalex.org/W2046237996","https://openalex.org/W2049125972","https://openalex.org/W2055478646","https://openalex.org/W2084822343","https://openalex.org/W2112158761","https://openalex.org/W2159770654","https://openalex.org/W2321807852","https://openalex.org/W2515112238","https://openalex.org/W2605864316","https://openalex.org/W2770708411","https://openalex.org/W2902342935","https://openalex.org/W2920926611","https://openalex.org/W2962736368","https://openalex.org/W2963351415","https://openalex.org/W2964122992","https://openalex.org/W3026093397","https://openalex.org/W3195137508","https://openalex.org/W4240644230"],"related_works":["https://openalex.org/W2473425139","https://openalex.org/W2963351415","https://openalex.org/W4405802859","https://openalex.org/W2945363892","https://openalex.org/W7220805383","https://openalex.org/W4313167556","https://openalex.org/W2058120896","https://openalex.org/W4223544959","https://openalex.org/W4327772913","https://openalex.org/W7095908620"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,70],"define":[4],"a":[5,14,32,64,72],"new":[6,15],"subclass":[7,16],"\\(\\mathcal{W}(n,\\alpha":[8,53],",q)\\)":[9,18,41,54,79],"of":[10,19,103,106],"analytic":[11,47],"functions":[12,21,48,96],"and":[13,43,62,68,91],"\\(\\mathcal{W}_\\mathcal{H}^{0}(n,\\alpha":[17,40,78],"harmonic":[20,33],"\\(f=h+\\overline{g}\\in":[22],"\\mathcal{H}^{0}\\)":[23],"associated":[24],"with":[25],"Salagean":[26],"\\(q\\)-differential":[27],"operator.":[28],"We":[29,83,98],"prove":[30],"that":[31],"function":[34],"\\(f=h+\\bar{g}\\)":[35],"belongs":[36],"to":[37,52,80],"the":[38,46,76],"class":[39,77],"if":[42,45],"only":[44],"\\(h+\\epsilon":[49],"g\\)":[50],"belong":[51],"for":[55,75,94],"each":[56],"\\(\\epsilon":[57],"\\":[58],"(|\\epsilon|":[59],"=":[60],"1)\\),":[61],"using":[63],"method":[65],"by":[66],"Clunie":[67],"Sheil-Small,":[69],"determine":[71,100],"sufficient":[73,88],"condition":[74],"be":[81],"close-to-convex.":[82],"provide":[84],"sharp":[85],"coefficient":[86,89],"estimates,":[87],"condition,":[90],"convolution":[92],"properties":[93],"such":[95],"classes.":[97],"also":[99],"several":[101],"conditions":[102],"partial":[104],"sums":[105],"\\(f\\in\\mathcal{W}_\\mathcal{H}^{0}(n,\\alpha":[107],",q)\\).":[108]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2025-03-11T00:00:00"}
