{"id":"https://openalex.org/W3207501626","doi":"https://doi.org/10.3390/sym13101947","title":"On q-Starlike Functions Defined by q-Ruscheweyh Differential Operator in Symmetric Conic Domain","display_name":"On q-Starlike Functions Defined by q-Ruscheweyh Differential Operator in Symmetric Conic Domain","publication_year":2021,"publication_date":"2021-10-16","ids":{"openalex":"https://openalex.org/W3207501626","doi":"https://doi.org/10.3390/sym13101947","mag":"3207501626"},"language":"en","primary_location":{"id":"doi:10.3390/sym13101947","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13101947","pdf_url":"https://www.mdpi.com/2073-8994/13/10/1947/pdf?version=1634863693","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","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/13/10/1947/pdf?version=1634863693","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063619959","display_name":"Saira Zainab","orcid":"https://orcid.org/0000-0001-6522-1451"},"institutions":[{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"education","lineage":["https://openalex.org/I929597975"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Saira Zainab","raw_affiliation_strings":["School of Electrical Engineering and Computer Science (SEECS), National University of Sciences & Technology (NUST), Sector H-12, Islamabad 44000, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-6522-1451","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science (SEECS), National University of Sciences & Technology (NUST), Sector H-12, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I929597975"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065019838","display_name":"Mohsan Raza","orcid":"https://orcid.org/0000-0001-7466-7930"},"institutions":[{"id":"https://openalex.org/I194348271","display_name":"Government College University, Faisalabad","ror":"https://ror.org/051zgra59","country_code":"PK","type":"education","lineage":["https://openalex.org/I194348271"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Mohsan Raza","raw_affiliation_strings":["Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-7466-7930","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan","institution_ids":["https://openalex.org/I194348271"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050608316","display_name":"Qin Xin","orcid":"https://orcid.org/0000-0002-6178-8538"},"institutions":[{"id":"https://openalex.org/I103146751","display_name":"University of the Faroe Islands","ror":"https://ror.org/05mwmd090","country_code":"FO","type":"education","lineage":["https://openalex.org/I103146751"]}],"countries":["FO"],"is_corresponding":false,"raw_author_name":"Qin Xin","raw_affiliation_strings":["Faculty of Science and Technology, University of the Faroe Islands, Vestarabryggja 15, FO 100 Torshavn, Faroe Islands"],"raw_orcid":"https://orcid.org/0000-0002-6178-8538","affiliations":[{"raw_affiliation_string":"Faculty of Science and Technology, University of the Faroe Islands, Vestarabryggja 15, FO 100 Torshavn, Faroe Islands","institution_ids":["https://openalex.org/I103146751"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045736612","display_name":"Mehwish Jabeen","orcid":"https://orcid.org/0000-0002-9346-7026"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Mehwish Jabeen","raw_affiliation_strings":["Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-9346-7026","affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan","institution_ids":["https://openalex.org/I16076960"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027862392","display_name":"Sarfraz Nawaz Malik","orcid":"https://orcid.org/0000-0001-8940-0569"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Sarfraz Nawaz Malik","raw_affiliation_strings":["Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-8940-0569","affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan","institution_ids":["https://openalex.org/I16076960"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007461854","display_name":"Sadia Riaz","orcid":"https://orcid.org/0000-0001-6318-6795"},"institutions":[{"id":"https://openalex.org/I17120543","display_name":"National University of Modern Languages","ror":"https://ror.org/008dh2426","country_code":"PK","type":"education","lineage":["https://openalex.org/I17120543"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Sadia Riaz","raw_affiliation_strings":["Department of Mathematics, National University of Modern Languages, Rawalpindi 46000, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-6318-6795","affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Modern Languages, Rawalpindi 46000, Pakistan","institution_ids":["https://openalex.org/I17120543"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5065019838"],"corresponding_institution_ids":["https://openalex.org/I194348271"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":5.4888,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.96552173,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"13","issue":"10","first_page":"1947","last_page":"1947"},"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"}},{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory","score":0.9194999933242798,"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/conic-section","display_name":"Conic section","score":0.7508260011672974},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.728010892868042},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.701005756855011},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5702259540557861},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5129551291465759},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5117249488830566},{"id":"https://openalex.org/keywords/holomorphic-function","display_name":"Holomorphic function","score":0.47437626123428345},{"id":"https://openalex.org/keywords/analytic-function","display_name":"Analytic function","score":0.4637758135795593},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.46059927344322205},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4403296709060669},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4383871853351593},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.43359988927841187},{"id":"https://openalex.org/keywords/unit-disk","display_name":"Unit disk","score":0.419716477394104},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3429372310638428},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.2980270981788635},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09714135527610779},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08974838256835938},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08540791273117065}],"concepts":[{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.7508260011672974},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.728010892868042},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.701005756855011},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5702259540557861},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5129551291465759},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5117249488830566},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.47437626123428345},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.4637758135795593},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.46059927344322205},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4403296709060669},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4383871853351593},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43359988927841187},{"id":"https://openalex.org/C47177299","wikidata":"https://www.wikidata.org/wiki/Q2390323","display_name":"Unit disk","level":2,"score":0.419716477394104},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3429372310638428},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2980270981788635},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09714135527610779},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08974838256835938},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08540791273117065},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym13101947","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13101947","pdf_url":"https://www.mdpi.com/2073-8994/13/10/1947/pdf?version=1634863693","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"},{"id":"pmh:oai:doaj.org/article:cb1e34f68d3b45b7abeaea0e4c9f676a","is_oa":true,"landing_page_url":"https://doaj.org/article/cb1e34f68d3b45b7abeaea0e4c9f676a","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":"Symmetry, Vol 13, Iss 10, p 1947 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/13/10/1947/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym13101947","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym13101947","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13101947","pdf_url":"https://www.mdpi.com/2073-8994/13/10/1947/pdf?version=1634863693","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":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3207501626.pdf"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W37976905","https://openalex.org/W353486840","https://openalex.org/W1541084929","https://openalex.org/W1965158021","https://openalex.org/W1965556558","https://openalex.org/W1967338184","https://openalex.org/W1971551407","https://openalex.org/W1973856482","https://openalex.org/W2017520442","https://openalex.org/W2036871306","https://openalex.org/W2051898737","https://openalex.org/W2079404845","https://openalex.org/W2080468976","https://openalex.org/W2088918788","https://openalex.org/W2114579204","https://openalex.org/W2144083564","https://openalex.org/W2321807852","https://openalex.org/W2336366364","https://openalex.org/W2593359904","https://openalex.org/W2602068394","https://openalex.org/W2898054127","https://openalex.org/W2917997436","https://openalex.org/W2960854251","https://openalex.org/W2963403185","https://openalex.org/W2963847456","https://openalex.org/W3105720941","https://openalex.org/W3119030641","https://openalex.org/W3165506653","https://openalex.org/W4234241455","https://openalex.org/W6609856318","https://openalex.org/W6611958524","https://openalex.org/W6632562538","https://openalex.org/W6643267241","https://openalex.org/W6643524560","https://openalex.org/W6755234895"],"related_works":["https://openalex.org/W3097857285","https://openalex.org/W2086918857","https://openalex.org/W1497735364","https://openalex.org/W1495823515","https://openalex.org/W2965886745","https://openalex.org/W2166124921","https://openalex.org/W4368406995","https://openalex.org/W1571802358","https://openalex.org/W2560773258","https://openalex.org/W2757875173"],"abstract_inverted_index":{"Motivated":[0],"by":[1,18,74],"q-analogue":[2],"theory":[3],"and":[4,43,89,110],"symmetric":[5,30,68,126],"conic":[6,31,69,127],"domain,":[7,70],"we":[8],"study":[9,45],"here":[10],"the":[11,14,22,29,53,67,75,81,98,105,115,118],"q-version":[12],"of":[13,36,49,61,112,120],"Ruscheweyh":[15,77],"differential":[16,55],"operator":[17,79],"applying":[19],"it":[20],"to":[21,40,95],"starlike":[23,63,122],"functions":[24,51,64,116,123],"which":[25,71],"are":[26,72,129],"related":[27,124],"with":[28,66,125],"domain.":[32],"The":[33,87],"primary":[34],"aim":[35],"this":[37],"work":[38],"is":[39,85,101],"first":[41],"define":[42],"then":[44],"a":[46,93],"new":[47,58],"class":[48,59,99,119],"holomorphic":[50],"using":[52],"q-Ruscheweyh":[54],"operator.":[56],"A":[57],"k\u2212STq\u03c4C,D":[60,100],"k-Janowski":[62,121],"associated":[65],"defined":[73],"generalized":[76],"derivative":[78],"in":[80,97],"open":[82],"unit":[83],"disk,":[84],"introduced.":[86],"necessary":[88],"sufficient":[90],"condition":[91],"for":[92,114],"function":[94],"be":[96],"established.":[102],"In":[103],"addition,":[104],"coefficient":[106],"bound,":[107],"partial":[108],"sums":[109],"radii":[111],"starlikeness":[113],"from":[117],"domain":[128],"included.":[130]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-22T09:01:20.584952","created_date":"2025-10-10T00:00:00"}