{"id":"https://openalex.org/W2968393205","doi":"https://doi.org/10.3390/sym11081042","title":"Class of Analytic Functions Defined by q-Integral Operator in a Symmetric Region","display_name":"Class of Analytic Functions Defined by q-Integral Operator in a Symmetric Region","publication_year":2019,"publication_date":"2019-08-13","ids":{"openalex":"https://openalex.org/W2968393205","doi":"https://doi.org/10.3390/sym11081042","mag":"2968393205"},"language":"en","primary_location":{"id":"doi:10.3390/sym11081042","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11081042","pdf_url":"https://www.mdpi.com/2073-8994/11/8/1042/pdf?version=1565694842","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/2073-8994/11/8/1042/pdf?version=1565694842","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"],"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/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 38000, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Government College University, Faisalabad 38000, Pakistan","institution_ids":["https://openalex.org/I194348271"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101691700","display_name":"Kashif Javed","orcid":"https://orcid.org/0000-0002-0515-2017"},"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":false,"raw_author_name":"Kashif Javed","raw_affiliation_strings":["Department of Mathematics, Government College University, Faisalabad 38000, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Government College University, Faisalabad 38000, Pakistan","institution_ids":["https://openalex.org/I194348271"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045073924","display_name":"Saqib Hussain","orcid":"https://orcid.org/0000-0002-8174-8795"},"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":"Saqib Hussain","raw_affiliation_strings":["Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus 22010, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus 22010, Pakistan","institution_ids":["https://openalex.org/I16076960"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087585103","display_name":"Muhammad Arif","orcid":"https://orcid.org/0000-0003-1484-7643"},"institutions":[{"id":"https://openalex.org/I181063083","display_name":"Abdul Wali Khan University Mardan","ror":"https://ror.org/03b9y4e65","country_code":"PK","type":"education","lineage":["https://openalex.org/I181063083"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Arif","raw_affiliation_strings":["Department of Mathematics, Abdul Wali Khan University Mardan, 23200 Mardan, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abdul Wali Khan University Mardan, 23200 Mardan, Pakistan","institution_ids":["https://openalex.org/I181063083"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"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":3.0692,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.91656105,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"11","issue":"8","first_page":"1042","last_page":"1042"},"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":0.9617999792098999,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9517999887466431,"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/mathematics","display_name":"Mathematics","score":0.7159129977226257},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6987764835357666},{"id":"https://openalex.org/keywords/analytic-function","display_name":"Analytic function","score":0.6739947199821472},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6303080916404724},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.582095742225647},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.5535147190093994},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5289478302001953},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4830670952796936},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4630586802959442},{"id":"https://openalex.org/keywords/new-class","display_name":"New class","score":0.41726988554000854},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33868134021759033},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09259364008903503},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08471187949180603}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7159129977226257},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6987764835357666},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.6739947199821472},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6303080916404724},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.582095742225647},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.5535147190093994},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5289478302001953},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4830670952796936},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4630586802959442},{"id":"https://openalex.org/C2776020190","wikidata":"https://www.wikidata.org/wiki/Q997453","display_name":"New class","level":2,"score":0.41726988554000854},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33868134021759033},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09259364008903503},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08471187949180603},{"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/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"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":2,"locations":[{"id":"doi:10.3390/sym11081042","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11081042","pdf_url":"https://www.mdpi.com/2073-8994/11/8/1042/pdf?version=1565694842","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:87e5440ea3b24833b529c5d23835e64b","is_oa":true,"landing_page_url":"https://doaj.org/article/87e5440ea3b24833b529c5d23835e64b","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"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 11, Iss 8, p 1042 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym11081042","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11081042","pdf_url":"https://www.mdpi.com/2073-8994/11/8/1042/pdf?version=1565694842","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2968393205.pdf","grobid_xml":"https://content.openalex.org/works/W2968393205.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1557996809","https://openalex.org/W1973856482","https://openalex.org/W1985150409","https://openalex.org/W1998690851","https://openalex.org/W2040269608","https://openalex.org/W2049125972","https://openalex.org/W2051898737","https://openalex.org/W2062131359","https://openalex.org/W2074741432","https://openalex.org/W2080468976","https://openalex.org/W2114579204","https://openalex.org/W2152622900","https://openalex.org/W2321807852","https://openalex.org/W2331095099","https://openalex.org/W2602068394","https://openalex.org/W2779572514","https://openalex.org/W2787798074","https://openalex.org/W2790730906","https://openalex.org/W2801919745","https://openalex.org/W2884976805","https://openalex.org/W2898054127","https://openalex.org/W2898718834","https://openalex.org/W2915055238","https://openalex.org/W2917997436","https://openalex.org/W2921108466","https://openalex.org/W2946191409","https://openalex.org/W2947559447","https://openalex.org/W2947740413","https://openalex.org/W2960854251","https://openalex.org/W2966135973","https://openalex.org/W6643524560","https://openalex.org/W6663097149","https://openalex.org/W6702144111","https://openalex.org/W6735588253","https://openalex.org/W6747243044","https://openalex.org/W6755234895","https://openalex.org/W7026576561"],"related_works":["https://openalex.org/W2795378890","https://openalex.org/W4300566153","https://openalex.org/W2804689728","https://openalex.org/W2946724620","https://openalex.org/W2012685253","https://openalex.org/W2037437483","https://openalex.org/W3100053256","https://openalex.org/W2373292822","https://openalex.org/W2377924059","https://openalex.org/W2005987506"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,12],"the":[3,21,34,39,42,45,48,52,64],"present":[4],"paper":[5],"is":[6,25],"to":[7],"introduce":[8],"a":[9,17],"new":[10],"class":[11],"analytic":[13],"functions":[14,57,69],"by":[15],"using":[16],"q-integral":[18],"operator":[19],"in":[20,58,70],"conic":[22],"region.":[23],"It":[24],"worth":[26],"mentioning":[27],"that":[28],"these":[29],"regions":[30],"are":[31],"symmetric":[32],"along":[33],"real":[35],"axis.":[36],"We":[37],"find":[38],"coefficient":[40,66],"estimates,":[41],"Fekete\u2013Szeg\u00f6":[43],"inequality,":[44],"sufficiency":[46],"criteria,":[47],"distortion":[49],"result,":[50],"and":[51],"Hankel":[53],"determinant":[54],"problem":[55],"for":[56,68],"this":[59,71],"class.":[60,72],"Furthermore,":[61],"we":[62],"study":[63],"inverse":[65],"estimates":[67]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
