{"id":"https://openalex.org/W4411765950","doi":"https://doi.org/10.47000/tjmcs.1545173","title":"Coefficient Bounds for Subfamilies of Analytic Mappings of Complex Order Associated with the Ruscheweyh Derivative and Differential Equation","display_name":"Coefficient Bounds for Subfamilies of Analytic Mappings of Complex Order Associated with the Ruscheweyh Derivative and Differential Equation","publication_year":2025,"publication_date":"2025-06-29","ids":{"openalex":"https://openalex.org/W4411765950","doi":"https://doi.org/10.47000/tjmcs.1545173"},"language":"en","primary_location":{"id":"doi:10.47000/tjmcs.1545173","doi":"https://doi.org/10.47000/tjmcs.1545173","is_oa":true,"landing_page_url":"https://doi.org/10.47000/tjmcs.1545173","pdf_url":"https://dergipark.org.tr/en/download/article-file/4197582","source":{"id":"https://openalex.org/S4210187119","display_name":"Turkish Journal of Mathematics and Computer Science","issn_l":"2148-1830","issn":["2148-1830"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Turkish Journal of Mathematics and Computer Science","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dergipark.org.tr/en/download/article-file/4197582","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023046072","display_name":"Manzoor Hussain","orcid":"https://orcid.org/0000-0001-6014-9630","observed_orcids":["https://orcid.org/0000-0001-6014-9630"]},"institutions":[{"id":"https://openalex.org/I4396570662","display_name":"Women University of Azad Jammu & Kashmir Bagh","ror":"https://ror.org/00pb7yd26","country_code":null,"type":"education","lineage":["https://openalex.org/I4396570662"]}],"countries":[],"is_corresponding":true,"raw_author_name":"Manzoor Hussain","raw_affiliation_strings":["Women University of Azad Jammu & Kashmir Bagh"],"raw_orcid":"https://orcid.org/0000-0001-6014-9630","affiliations":[{"raw_affiliation_string":"Women University of Azad Jammu & Kashmir Bagh","institution_ids":["https://openalex.org/I4396570662"]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023046072"],"corresponding_institution_ids":["https://openalex.org/I4396570662"],"apc_list":null,"apc_paid":null,"fwci":1.8645,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82429488,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"17","issue":"1","first_page":"120","last_page":"135"},"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/T10884","display_name":"Holomorphic and Operator Theory","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"}},{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/ruscheweyh-derivative","display_name":"Ruscheweyh derivative","score":0.9940000176429749},{"id":"https://openalex.org/keywords/coefficient-estimates","display_name":"coefficient estimates","score":0.9430000185966492},{"id":"https://openalex.org/keywords/fekete-szego-functional","display_name":"Fekete-Szeg\u00f6 functional","score":0.9559999704360962},{"id":"https://openalex.org/keywords/bi-univalent-functions","display_name":"bi-univalent functions","score":0.9980000257492065},{"id":"https://openalex.org/keywords/second-hankel-determinant","display_name":"second Hankel determinant","score":0.8759999871253967},{"id":"https://openalex.org/keywords/geometric-function-theory","display_name":"geometric function theory","score":0.7609999775886536}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6191567182540894},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.6067030429840088},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5772809982299805},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5533139109611511},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5019066333770752},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4507572054862976},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4447319805622101},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41628628969192505},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10080540180206299},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.060296446084976196},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.47000/tjmcs.1545173","doi":"https://doi.org/10.47000/tjmcs.1545173","is_oa":true,"landing_page_url":"https://doi.org/10.47000/tjmcs.1545173","pdf_url":"https://dergipark.org.tr/en/download/article-file/4197582","source":{"id":"https://openalex.org/S4210187119","display_name":"Turkish Journal of Mathematics and Computer Science","issn_l":"2148-1830","issn":["2148-1830"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Turkish Journal of Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:dergipark.org.tr:article/1545173","doi":null,"is_oa":false,"landing_page_url":"https://dergipark.org.tr/tr/pub/tjmcs/issue/92235/1545173","pdf_url":null,"source":{"id":"https://openalex.org/S4306401840","display_name":"DergiPark (Istanbul University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67581229","host_organization_name":"Istanbul University","host_organization_lineage":["https://openalex.org/I67581229"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Turkish Journal of Mathematics and Computer Science","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.47000/tjmcs.1545173","doi":"https://doi.org/10.47000/tjmcs.1545173","is_oa":true,"landing_page_url":"https://doi.org/10.47000/tjmcs.1545173","pdf_url":"https://dergipark.org.tr/en/download/article-file/4197582","source":{"id":"https://openalex.org/S4210187119","display_name":"Turkish Journal of Mathematics and Computer Science","issn_l":"2148-1830","issn":["2148-1830"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Turkish Journal of Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411765950.pdf","grobid_xml":"https://content.openalex.org/works/W4411765950.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1972603960","https://openalex.org/W1973856482","https://openalex.org/W2006551544","https://openalex.org/W2011690209","https://openalex.org/W2016213123","https://openalex.org/W2017520442","https://openalex.org/W2032549966","https://openalex.org/W2039692239","https://openalex.org/W2046047367","https://openalex.org/W2075030926","https://openalex.org/W2106246010","https://openalex.org/W2135125927","https://openalex.org/W2303511364","https://openalex.org/W2524690161","https://openalex.org/W2588371155","https://openalex.org/W2588613732","https://openalex.org/W2731152804","https://openalex.org/W2807917469","https://openalex.org/W2895512015","https://openalex.org/W2910112849","https://openalex.org/W2971873849","https://openalex.org/W2996826566","https://openalex.org/W3170054219","https://openalex.org/W4385218604","https://openalex.org/W6603109618","https://openalex.org/W6815243007"],"related_works":["https://openalex.org/W2381413256","https://openalex.org/W2112385259","https://openalex.org/W2766319879","https://openalex.org/W2363926780","https://openalex.org/W2348241498","https://openalex.org/W3214346900","https://openalex.org/W2951455966","https://openalex.org/W1997165612","https://openalex.org/W2056231843","https://openalex.org/W2952452065"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"introduced":[4],"some":[5,78],"new":[6],"subfamilies":[7],"of":[8,11,23,50,55,80],"analytic":[9],"mappings":[10],"complex":[12],"order":[13],"defined":[14],"by":[15],"using":[16],"the":[17,30,73],"Ruscheweyh":[18],"derivative":[19],"and":[20,34,58],"a":[21],"family":[22],"non-homogenous":[24],"Cauchy-Euler":[25],"differential":[26],"equations.":[27],"We":[28],"estimated":[29],"nth":[31],"coefficient":[32],"bounds":[33,52],"Fekete-Szeg\u00a8o-type":[35],"functional":[36],"for":[37,62],"functions":[38],"in":[39,48,72],"these":[40],"subfamilies.":[41],"The":[42],"obtained":[43],"results":[44,71],"were":[45,75],"then":[46],"used":[47],"estimation":[49],"upper":[51],"on":[53],"coefficients":[54],"logarithmic,":[56],"bi-univalent,":[57],"second":[59],"Hankel":[60],"determinant":[61],"such":[63],"functions.":[64],"Various":[65],"useful":[66],"deductions":[67],"relevant":[68],"to":[69],"recent":[70],"literature":[74],"made":[76],"with":[77],"refinements":[79],"known":[81],"results.":[82]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
