{"id":"https://openalex.org/W4225131236","doi":"https://doi.org/10.3390/axioms11050209","title":"Applications of Confluent Hypergeometric Function in Strong Superordination Theory","display_name":"Applications of Confluent Hypergeometric Function in Strong Superordination Theory","publication_year":2022,"publication_date":"2022-04-29","ids":{"openalex":"https://openalex.org/W4225131236","doi":"https://doi.org/10.3390/axioms11050209"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11050209","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11050209","pdf_url":"https://www.mdpi.com/2075-1680/11/5/209/pdf?version=1651246929","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/2075-1680/11/5/209/pdf?version=1651246929","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020913149","display_name":"Georgia Irina Oros","orcid":"https://orcid.org/0000-0003-2902-4455"},"institutions":[{"id":"https://openalex.org/I162871001","display_name":"University of Oradea","ror":"https://ror.org/00wzhv093","country_code":"RO","type":"education","lineage":["https://openalex.org/I162871001"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Georgia Irina Oros","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania"],"raw_orcid":"https://orcid.org/0000-0003-2902-4455","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania","institution_ids":["https://openalex.org/I162871001"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026681258","display_name":"Gheorghe Oros","orcid":"https://orcid.org/0000-0002-1000-094X"},"institutions":[{"id":"https://openalex.org/I162871001","display_name":"University of Oradea","ror":"https://ror.org/00wzhv093","country_code":"RO","type":"education","lineage":["https://openalex.org/I162871001"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Gheorghe Oros","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania"],"raw_orcid":"https://orcid.org/0000-0002-1000-094X","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania","institution_ids":["https://openalex.org/I162871001"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089941117","display_name":"Ancu\u021ba Maria Rus","orcid":"https://orcid.org/0000-0001-9575-5470"},"institutions":[{"id":"https://openalex.org/I162871001","display_name":"University of Oradea","ror":"https://ror.org/00wzhv093","country_code":"RO","type":"education","lineage":["https://openalex.org/I162871001"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Ancu\u021ba Maria Rus","raw_affiliation_strings":["Doctoral School of Engineering Sciences, University of Oradea, 410087 Oradea, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Doctoral School of Engineering Sciences, University of Oradea, 410087 Oradea, Romania","institution_ids":["https://openalex.org/I162871001"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089941117"],"corresponding_institution_ids":["https://openalex.org/I162871001"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":2.8064,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.90526685,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"11","issue":"5","first_page":"209","last_page":"209"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9993000030517578,"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":0.9993000030517578,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9509000182151794,"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/T12613","display_name":"X-ray Diffraction in Crystallography","score":0.9294999837875366,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/confluent-hypergeometric-function","display_name":"Confluent hypergeometric function","score":0.7732770442962646},{"id":"https://openalex.org/keywords/hypergeometric-function","display_name":"Hypergeometric function","score":0.7709568738937378},{"id":"https://openalex.org/keywords/subordination","display_name":"Subordination (linguistics)","score":0.6835706830024719},{"id":"https://openalex.org/keywords/generalized-hypergeometric-function","display_name":"Generalized hypergeometric function","score":0.6767135858535767},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6766877174377441},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.6508377194404602},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5835041999816895},{"id":"https://openalex.org/keywords/hypergeometric-identity","display_name":"Hypergeometric identity","score":0.5756285190582275},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5036043524742126},{"id":"https://openalex.org/keywords/hypergeometric-function-of-a-matrix-argument","display_name":"Hypergeometric function of a matrix argument","score":0.4924233853816986},{"id":"https://openalex.org/keywords/univalent-function","display_name":"Univalent function","score":0.4774392247200012},{"id":"https://openalex.org/keywords/basic-hypergeometric-series","display_name":"Basic hypergeometric series","score":0.4683650732040405},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.44339519739151},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.43527528643608093},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3503185212612152},{"id":"https://openalex.org/keywords/analytic-function","display_name":"Analytic function","score":0.3431991934776306},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09957733750343323}],"concepts":[{"id":"https://openalex.org/C148160416","wikidata":"https://www.wikidata.org/wiki/Q783948","display_name":"Confluent hypergeometric function","level":3,"score":0.7732770442962646},{"id":"https://openalex.org/C197320386","wikidata":"https://www.wikidata.org/wiki/Q21028472","display_name":"Hypergeometric function","level":2,"score":0.7709568738937378},{"id":"https://openalex.org/C2777406531","wikidata":"https://www.wikidata.org/wiki/Q2031017","display_name":"Subordination (linguistics)","level":2,"score":0.6835706830024719},{"id":"https://openalex.org/C158241908","wikidata":"https://www.wikidata.org/wiki/Q109744257","display_name":"Generalized hypergeometric function","level":3,"score":0.6767135858535767},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6766877174377441},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.6508377194404602},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5835041999816895},{"id":"https://openalex.org/C60400383","wikidata":"https://www.wikidata.org/wiki/Q17028407","display_name":"Hypergeometric identity","level":5,"score":0.5756285190582275},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5036043524742126},{"id":"https://openalex.org/C165175332","wikidata":"https://www.wikidata.org/wiki/Q5958021","display_name":"Hypergeometric function of a matrix argument","level":4,"score":0.4924233853816986},{"id":"https://openalex.org/C178260045","wikidata":"https://www.wikidata.org/wiki/Q2608535","display_name":"Univalent function","level":3,"score":0.4774392247200012},{"id":"https://openalex.org/C92941272","wikidata":"https://www.wikidata.org/wiki/Q1062958","display_name":"Basic hypergeometric series","level":3,"score":0.4683650732040405},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.44339519739151},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43527528643608093},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3503185212612152},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.3431991934776306},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09957733750343323},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/axioms11050209","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11050209","pdf_url":"https://www.mdpi.com/2075-1680/11/5/209/pdf?version=1651246929","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:2c325e279f7e47ef9efb0f42b34bdb5b","is_oa":false,"landing_page_url":"https://doaj.org/article/2c325e279f7e47ef9efb0f42b34bdb5b","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 11, Iss 5, p 209 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/5/209/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11050209","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 11; Issue 5; Pages: 209","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11050209","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11050209","pdf_url":"https://www.mdpi.com/2075-1680/11/5/209/pdf?version=1651246929","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":[{"score":0.5699999928474426,"id":"https://metadata.un.org/sdg/6","display_name":"Clean water and sanitation"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4225131236.pdf","grobid_xml":"https://content.openalex.org/works/W4225131236.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W172694950","https://openalex.org/W186811264","https://openalex.org/W1965334923","https://openalex.org/W2003606952","https://openalex.org/W2011690209","https://openalex.org/W2013545001","https://openalex.org/W2067680085","https://openalex.org/W2093737279","https://openalex.org/W2095327922","https://openalex.org/W2140844949","https://openalex.org/W2230171011","https://openalex.org/W2606069961","https://openalex.org/W2965288639","https://openalex.org/W3015035341","https://openalex.org/W3015068321","https://openalex.org/W3089020191","https://openalex.org/W3096040293","https://openalex.org/W3119949579","https://openalex.org/W3122808203","https://openalex.org/W3157325315","https://openalex.org/W3170331393","https://openalex.org/W3184112321","https://openalex.org/W3184366677","https://openalex.org/W3192319191","https://openalex.org/W3194017530","https://openalex.org/W3202856587","https://openalex.org/W3204570872","https://openalex.org/W4200149135","https://openalex.org/W4206311116","https://openalex.org/W4210903706","https://openalex.org/W4233886660","https://openalex.org/W6606948823","https://openalex.org/W6607554561","https://openalex.org/W6776706214"],"related_works":["https://openalex.org/W4223493164","https://openalex.org/W4250496774","https://openalex.org/W2080918621","https://openalex.org/W2036138207","https://openalex.org/W2078566267","https://openalex.org/W2801891693","https://openalex.org/W3160935812","https://openalex.org/W1954796328","https://openalex.org/W4252934369","https://openalex.org/W3127796482"],"abstract_inverted_index":{"In":[0,19],"the":[1,13,24,26,29,52,89,97,100,106,109,114,117],"research":[2],"presented":[3,104],"in":[4,12],"this":[5],"paper,":[6],"confluent":[7,30,64],"hypergeometric":[8,31,65],"function":[9,32],"is":[10,33],"embedded":[11],"theory":[14,53],"of":[15,28,40,54,99,108,113,116],"strong":[16,55,80],"differential":[17,56,81],"superordinations.":[18],"order":[20],"to":[21,51,76],"proceed":[22],"with":[23],"study,":[25],"form":[27],"adapted":[34,75],"taking":[35],"into":[36],"consideration":[37],"certain":[38],"classes":[39,78],"analytic":[41],"functions":[42],"depending":[43],"on":[44],"an":[45],"extra":[46],"parameter":[47],"previously":[48,61],"introduced":[49],"related":[50],"subordination":[57],"and":[58,69,79],"superordination.":[59],"Operators":[60],"defined":[62],"using":[63],"function,":[66],"namely":[67],"Kummer\u2013Bernardi":[68],"Kummer\u2013Libera":[70],"integral":[71],"operators,":[72],"are":[73,83,88,94,111],"also":[74],"those":[77],"superordinations":[82],"obtained":[84,95],"for":[85],"which":[86],"they":[87],"best":[90],"subordinants.":[91],"Similar":[92],"results":[93],"regarding":[96],"derivatives":[98],"operators.":[101],"The":[102],"examples":[103],"at":[105],"end":[107],"study":[110],"proof":[112],"applicability":[115],"original":[118],"results.":[119]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2022-05-01T00:00:00"}