{"id":"https://openalex.org/W4380049721","doi":"https://doi.org/10.3390/axioms12060563","title":"Geometric Properties of Generalized Integral Operators Related to The Miller\u2013Ross Function","display_name":"Geometric Properties of Generalized Integral Operators Related to The Miller\u2013Ross Function","publication_year":2023,"publication_date":"2023-06-07","ids":{"openalex":"https://openalex.org/W4380049721","doi":"https://doi.org/10.3390/axioms12060563"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12060563","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12060563","pdf_url":"https://www.mdpi.com/2075-1680/12/6/563/pdf?version=1686122679","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/2075-1680/12/6/563/pdf?version=1686122679","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044077749","display_name":"Sercan Kaz\u0131mo\u011flu","orcid":"https://orcid.org/0000-0002-1023-4500"},"institutions":[{"id":"https://openalex.org/I135987583","display_name":"Kafkas University","ror":"https://ror.org/04v302n28","country_code":"TR","type":"education","lineage":["https://openalex.org/I135987583"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Sercan Kaz\u0131mo\u011flu","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Letters, Kafkas University, Campus, 36100 Kars, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-1023-4500","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Letters, Kafkas University, Campus, 36100 Kars, Turkey","institution_ids":["https://openalex.org/I135987583"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029758494","display_name":"Erhan Deni\u0307z","orcid":"https://orcid.org/0000-0002-9570-8583"},"institutions":[{"id":"https://openalex.org/I135987583","display_name":"Kafkas University","ror":"https://ror.org/04v302n28","country_code":"TR","type":"education","lineage":["https://openalex.org/I135987583"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Erhan Deniz","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Letters, Kafkas University, Campus, 36100 Kars, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-9570-8583","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Letters, Kafkas University, Campus, 36100 Kars, Turkey","institution_ids":["https://openalex.org/I135987583"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008411208","display_name":"Lumini\u0163a-Ioana Cot\u00eerl\u0103","orcid":"https://orcid.org/0000-0002-0269-0688"},"institutions":[{"id":"https://openalex.org/I158333966","display_name":"Technical University of Cluj-Napoca","ror":"https://ror.org/03r8nwp71","country_code":"RO","type":"education","lineage":["https://openalex.org/I158333966"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Luminita-Ioana Cotirla","raw_affiliation_strings":["Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania"],"raw_orcid":"https://orcid.org/0000-0002-0269-0688","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I158333966"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029758494"],"corresponding_institution_ids":["https://openalex.org/I135987583"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.5973,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.81438127,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"12","issue":"6","first_page":"563","last_page":"563"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9997000098228455,"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":0.9997000098228455,"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/T14303","display_name":"Polymer Synthesis and Characterization","score":0.9469000101089478,"subfield":{"id":"https://openalex.org/subfields/2507","display_name":"Polymers and Plastics"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13159","display_name":"Structural mechanics and materials","score":0.9369000196456909,"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/miller","display_name":"Miller","score":0.7494152784347534},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7319104671478271},{"id":"https://openalex.org/keywords/unit-disk","display_name":"Unit disk","score":0.6555798053741455},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6145901083946228},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5107347965240479},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4605182409286499},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.4547904431819916},{"id":"https://openalex.org/keywords/fourier-integral-operator","display_name":"Fourier integral operator","score":0.44057175517082214},{"id":"https://openalex.org/keywords/operator-theory","display_name":"Operator theory","score":0.4277627170085907},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40329763293266296},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.37462446093559265}],"concepts":[{"id":"https://openalex.org/C2777496998","wikidata":"https://www.wikidata.org/wiki/Q1536587","display_name":"Miller","level":2,"score":0.7494152784347534},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7319104671478271},{"id":"https://openalex.org/C47177299","wikidata":"https://www.wikidata.org/wiki/Q2390323","display_name":"Unit disk","level":2,"score":0.6555798053741455},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6145901083946228},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5107347965240479},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4605182409286499},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.4547904431819916},{"id":"https://openalex.org/C191832335","wikidata":"https://www.wikidata.org/wiki/Q4262191","display_name":"Fourier integral operator","level":3,"score":0.44057175517082214},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.4277627170085907},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40329763293266296},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.37462446093559265},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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":3,"locations":[{"id":"doi:10.3390/axioms12060563","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12060563","pdf_url":"https://www.mdpi.com/2075-1680/12/6/563/pdf?version=1686122679","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:d04b1000be0d491296318df4907fa0b3","is_oa":true,"landing_page_url":"https://doaj.org/article/d04b1000be0d491296318df4907fa0b3","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 12, Iss 6, p 563 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/12/6/563/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms12060563","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 12; Issue 6; Pages: 563","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms12060563","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12060563","pdf_url":"https://www.mdpi.com/2075-1680/12/6/563/pdf?version=1686122679","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":0.5600000023841858,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4380049721.pdf"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1003437477","https://openalex.org/W1799270876","https://openalex.org/W1969858343","https://openalex.org/W1990440942","https://openalex.org/W2050675723","https://openalex.org/W2050991533","https://openalex.org/W2057189372","https://openalex.org/W2057501349","https://openalex.org/W2100588037","https://openalex.org/W2142369997","https://openalex.org/W2271612795","https://openalex.org/W2335692622","https://openalex.org/W2621176279","https://openalex.org/W2792679725","https://openalex.org/W2931564706","https://openalex.org/W3116390225","https://openalex.org/W3165460136","https://openalex.org/W3184366677","https://openalex.org/W3188680408","https://openalex.org/W3213343586","https://openalex.org/W4200584361","https://openalex.org/W4220967608","https://openalex.org/W4224289957","https://openalex.org/W4303962596","https://openalex.org/W4404875576","https://openalex.org/W6647746712","https://openalex.org/W6653181411","https://openalex.org/W6680945352","https://openalex.org/W6683349775","https://openalex.org/W6702755867","https://openalex.org/W6749258291","https://openalex.org/W6755529925","https://openalex.org/W6765830509","https://openalex.org/W6787434884"],"related_works":["https://openalex.org/W2135597719","https://openalex.org/W2995728531","https://openalex.org/W2949367465","https://openalex.org/W4384823974","https://openalex.org/W1004063606","https://openalex.org/W3134534456","https://openalex.org/W4287878598","https://openalex.org/W3017284032","https://openalex.org/W2029291378","https://openalex.org/W4226102989"],"abstract_inverted_index":{"It":[0],"is":[1,28,98],"very":[2],"well-known":[3,81],"that":[4,48],"the":[5,16,34,40,44,54,61],"special":[6],"functions":[7,46,79],"and":[8,20,80,95,104],"integral":[9,37],"operators":[10,38],"play":[11],"a":[12],"vital":[13],"role":[14],"in":[15,53,89],"research":[17],"of":[18,36,43,64,69],"applied":[19],"mathematical":[21],"sciences.":[22],"In":[23,67],"this":[24,90],"paper,":[25,91],"our":[26],"aim":[27],"to":[29],"present":[30],"sufficient":[31],"conditions":[32],"for":[33],"families":[35],"containing":[39],"normalized":[41],"forms":[42],"Miller\u2013Ross":[45,78],"such":[47],"they":[49],"can":[50],"be":[51],"univalent":[52],"open":[55],"unit":[56],"disk.":[57],"Moreover,":[58],"we":[59,71],"find":[60],"convexity":[62],"order":[63],"these":[65],"operators.":[66],"proof":[68],"results,":[70,85],"use":[72],"some":[73],"differential":[74],"inequalities":[75],"related":[76],"with":[77],"lemmas.":[82],"The":[83],"various":[84],"which":[86],"are":[87,92],"established":[88],"presumably":[93],"new,":[94],"their":[96],"importance":[97],"illustrated":[99],"by":[100],"several":[101],"interesting":[102],"consequences":[103],"examples.":[105]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}