{"id":"https://openalex.org/W3211136724","doi":"https://doi.org/10.3390/axioms10040291","title":"Certain Subclasses of Analytic Multivalent Functions Associated with Petal-Shape Domain","display_name":"Certain Subclasses of Analytic Multivalent Functions Associated with Petal-Shape Domain","publication_year":2021,"publication_date":"2021-11-03","ids":{"openalex":"https://openalex.org/W3211136724","doi":"https://doi.org/10.3390/axioms10040291","mag":"3211136724"},"language":"en","primary_location":{"id":"doi:10.3390/axioms10040291","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms10040291","pdf_url":"https://www.mdpi.com/2075-1680/10/4/291/pdf?version=1635991735","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/10/4/291/pdf?version=1635991735","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039315882","display_name":"Lei Shi","orcid":"https://orcid.org/0000-0003-3079-9944"},"institutions":[{"id":"https://openalex.org/I4210117382","display_name":"Anyang Normal University","ror":"https://ror.org/02g9nss57","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210117382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Shi","raw_affiliation_strings":["School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, China","institution_ids":["https://openalex.org/I4210117382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079512627","display_name":"H. M. Srivastava","orcid":"https://orcid.org/0000-0002-9277-8092"},"institutions":[{"id":"https://openalex.org/I184693016","display_name":"China Medical University","ror":"https://ror.org/00v408z34","country_code":"TW","type":"education","lineage":["https://openalex.org/I184693016"]},{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]},{"id":"https://openalex.org/I4210126829","display_name":"China Medical University Hospital","ror":"https://ror.org/0368s4g32","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I4210126829"]},{"id":"https://openalex.org/I4210155399","display_name":"UniNettuno University","ror":"https://ror.org/04q0nep37","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210155399"]},{"id":"https://openalex.org/I87490745","display_name":"Azerbaijan University","ror":"https://ror.org/00g1psz15","country_code":"AZ","type":"education","lineage":["https://openalex.org/I87490745"]}],"countries":["AZ","CA","IT","TW"],"is_corresponding":false,"raw_author_name":"Hari M. Srivastava","raw_affiliation_strings":["Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan","Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada","Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan","Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy"],"raw_orcid":"https://orcid.org/0000-0002-9277-8092","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan","institution_ids":["https://openalex.org/I87490745"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada","institution_ids":["https://openalex.org/I212119943"]},{"raw_affiliation_string":"Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan","institution_ids":["https://openalex.org/I4210126829","https://openalex.org/I184693016"]},{"raw_affiliation_string":"Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy","institution_ids":["https://openalex.org/I4210155399"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091881846","display_name":"Muhammad Ghaffar Khan","orcid":"https://orcid.org/0000-0003-2239-6416"},"institutions":[{"id":"https://openalex.org/I178777954","display_name":"Kohat University of Science and Technology","ror":"https://ror.org/057d2v504","country_code":"PK","type":"education","lineage":["https://openalex.org/I178777954"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Ghaffar Khan","raw_affiliation_strings":["Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat 26000, Pakistan"],"raw_orcid":"https://orcid.org/0000-0003-2239-6416","affiliations":[{"raw_affiliation_string":"Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat 26000, Pakistan","institution_ids":["https://openalex.org/I178777954"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072967630","display_name":"Nazar Khan","orcid":"https://orcid.org/0000-0003-1123-8578"},"institutions":[{"id":"https://openalex.org/I3131573596","display_name":"Abbottabad University of Science and Technology","ror":"https://ror.org/0549hdw45","country_code":"PK","type":"education","lineage":["https://openalex.org/I3131573596"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Nazar Khan","raw_affiliation_strings":["Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan"],"raw_orcid":"https://orcid.org/0000-0003-1123-8578","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan","institution_ids":["https://openalex.org/I3131573596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024835459","display_name":"Bakhtiar Ahmad","orcid":"https://orcid.org/0000-0002-3716-2818"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bakhtiar Ahmad","raw_affiliation_strings":["Govt. Degree College Mardan, Mardan 23200, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-3716-2818","affiliations":[{"raw_affiliation_string":"Govt. Degree College Mardan, Mardan 23200, Pakistan","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066460158","display_name":"Bilal Khan","orcid":"https://orcid.org/0000-0003-2427-2003"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bilal Khan","raw_affiliation_strings":["School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, China"],"raw_orcid":"https://orcid.org/0000-0003-2427-2003","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, China","institution_ids":["https://openalex.org/I66867065"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082956031","display_name":"Wali Khan Mashwani","orcid":"https://orcid.org/0000-0002-5081-741X"},"institutions":[{"id":"https://openalex.org/I178777954","display_name":"Kohat University of Science and Technology","ror":"https://ror.org/057d2v504","country_code":"PK","type":"education","lineage":["https://openalex.org/I178777954"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Wali Khan Mashwani","raw_affiliation_strings":["Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat 26000, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-5081-741X","affiliations":[{"raw_affiliation_string":"Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat 26000, Pakistan","institution_ids":["https://openalex.org/I178777954"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5066460158"],"corresponding_institution_ids":["https://openalex.org/I66867065"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":5.0672,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.96043212,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"10","issue":"4","first_page":"291","last_page":"291"},"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/domain","display_name":"Domain (mathematical analysis)","score":0.6968684792518616},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.6089797019958496},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5912540555000305},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5747078657150269},{"id":"https://openalex.org/keywords/analytic-function","display_name":"Analytic function","score":0.49763205647468567},{"id":"https://openalex.org/keywords/section","display_name":"Section (typography)","score":0.49383077025413513},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.488489031791687},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4841507077217102},{"id":"https://openalex.org/keywords/petal","display_name":"Petal","score":0.4250562787055969},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3248389661312103},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2546432614326477},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15375331044197083},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07114943861961365}],"concepts":[{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6968684792518616},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6089797019958496},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5912540555000305},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5747078657150269},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.49763205647468567},{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.49383077025413513},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.488489031791687},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4841507077217102},{"id":"https://openalex.org/C120545014","wikidata":"https://www.wikidata.org/wiki/Q107412","display_name":"Petal","level":2,"score":0.4250562787055969},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3248389661312103},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2546432614326477},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15375331044197083},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07114943861961365},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms10040291","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms10040291","pdf_url":"https://www.mdpi.com/2075-1680/10/4/291/pdf?version=1635991735","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e4a5dc679d474f9db620d491ae0329b2","is_oa":true,"landing_page_url":"https://doaj.org/article/e4a5dc679d474f9db620d491ae0329b2","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":"Axioms, Vol 10, Iss 4, p 291 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/10/4/291/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms10040291","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":"Axioms; Volume 10; Issue 4; Pages: 291","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms10040291","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms10040291","pdf_url":"https://www.mdpi.com/2075-1680/10/4/291/pdf?version=1635991735","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5099999904632568}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3211136724.pdf","grobid_xml":"https://content.openalex.org/works/W3211136724.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1498705880","https://openalex.org/W1522952288","https://openalex.org/W2056594599","https://openalex.org/W2070384239","https://openalex.org/W2161938470","https://openalex.org/W2172520433","https://openalex.org/W2417149288","https://openalex.org/W2618000046","https://openalex.org/W2795203186","https://openalex.org/W2952400686","https://openalex.org/W3001106890","https://openalex.org/W3047736929","https://openalex.org/W3082851585","https://openalex.org/W3087444324","https://openalex.org/W3097857285","https://openalex.org/W3099131094","https://openalex.org/W3119030641","https://openalex.org/W3128126701","https://openalex.org/W3145774613","https://openalex.org/W3179768070","https://openalex.org/W6716816592"],"related_works":["https://openalex.org/W2381101607","https://openalex.org/W2026306910","https://openalex.org/W2183564221","https://openalex.org/W2789855011","https://openalex.org/W2045731359","https://openalex.org/W2061939770","https://openalex.org/W2128244266","https://openalex.org/W2320422610","https://openalex.org/W2323067017","https://openalex.org/W3036211860"],"abstract_inverted_index":{"In":[0],"this":[1,85],"article,":[2],"we":[3,41,58],"introduce":[4],"a":[5,96],"new":[6],"class":[7],"of":[8,38,62,69,78,90],"multivalent":[9,46],"analytic":[10],"functions":[11,48],"associated":[12],"with":[13,50],"petal-shape":[14,51],"region.":[15],"Furthermore,":[16],"some":[17,29,35],"useful":[18],"properties,":[19],"such":[20],"as":[21],"the":[22,55,60,63,67,71,79,88,91,103],"Fekete\u2013Szeg\u00f6":[23],"inequality,":[24],"and":[25,99],"their":[26],"consequences":[27],"for":[28,45],"special":[30],"cases":[31],"are":[32,82],"discussed.":[33],"For":[34],"specific":[36],"value":[37],"function":[39],"f,":[40],"obtain":[42],"sufficient":[43],"conditions":[44],"starlike":[47],"connected":[49],"domain.":[52],"Finally,":[53],"in":[54,84],"concluding":[56],"section,":[57],"draw":[59],"attention":[61],"interested":[64],"readers":[65],"toward":[66],"prospect":[68],"studying":[70],"basic":[72],"or":[73],"quantum":[74],"(or":[75],"q-)":[76],"generalizations":[77],"results,":[80],"which":[81],"presented":[83],"paper.":[86],"However,":[87],"(p,q)-variations":[89],"suggested":[92],"q-results":[93],"will":[94],"provide":[95],"relatively":[97],"minor":[98],"inconsequential":[100],"development":[101],"because":[102],"additional":[104],"(rather":[105],"forced-in)":[106],"parameter":[107],"p":[108],"is":[109],"obviously":[110],"redundant.":[111]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
