{"id":"https://openalex.org/W3214924991","doi":"https://doi.org/10.3390/sym13122310","title":"Starlikeness of New General Differential Operators Associated with q-Bessel Functions","display_name":"Starlikeness of New General Differential Operators Associated with q-Bessel Functions","publication_year":2021,"publication_date":"2021-12-03","ids":{"openalex":"https://openalex.org/W3214924991","doi":"https://doi.org/10.3390/sym13122310","mag":"3214924991"},"language":"en","primary_location":{"id":"doi:10.3390/sym13122310","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13122310","pdf_url":"https://www.mdpi.com/2073-8994/13/12/2310/pdf?version=1638517666","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/2073-8994/13/12/2310/pdf?version=1638517666","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050749061","display_name":"Loriana Andrei","orcid":"https://orcid.org/0000-0002-6974-3430"},"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":"Loriana Andrei","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania"],"raw_orcid":"https://orcid.org/0000-0002-6974-3430","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania","institution_ids":["https://openalex.org/I162871001"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052191237","display_name":"Vasile-Aurel Caus","orcid":"https://orcid.org/0000-0002-2430-2914"},"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":"Vasile-Aurel Caus","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania","institution_ids":["https://openalex.org/I162871001"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050749061"],"corresponding_institution_ids":["https://openalex.org/I162871001"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":1.6104,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.84005563,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"13","issue":"12","first_page":"2310","last_page":"2310"},"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9660999774932861,"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":0.9606999754905701,"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/bessel-function","display_name":"Bessel function","score":0.8901604413986206},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.7462132573127747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6862102746963501},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5825355648994446},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5451076626777649},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5423224568367004},{"id":"https://openalex.org/keywords/operator-theory","display_name":"Operator theory","score":0.5241308808326721},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5156434774398804},{"id":"https://openalex.org/keywords/bessel-polynomials","display_name":"Bessel polynomials","score":0.4603346288204193},{"id":"https://openalex.org/keywords/struve-function","display_name":"Struve function","score":0.45852792263031006},{"id":"https://openalex.org/keywords/microlocal-analysis","display_name":"Microlocal analysis","score":0.453359454870224},{"id":"https://openalex.org/keywords/fourier-integral-operator","display_name":"Fourier integral operator","score":0.4432605504989624},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43770450353622437},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38963499665260315},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15308144688606262},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13460806012153625},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.056239157915115356}],"concepts":[{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.8901604413986206},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.7462132573127747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6862102746963501},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5825355648994446},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5451076626777649},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5423224568367004},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.5241308808326721},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5156434774398804},{"id":"https://openalex.org/C73295869","wikidata":"https://www.wikidata.org/wiki/Q4896402","display_name":"Bessel polynomials","level":5,"score":0.4603346288204193},{"id":"https://openalex.org/C125065441","wikidata":"https://www.wikidata.org/wiki/Q2607374","display_name":"Struve function","level":5,"score":0.45852792263031006},{"id":"https://openalex.org/C129683796","wikidata":"https://www.wikidata.org/wiki/Q430450","display_name":"Microlocal analysis","level":4,"score":0.453359454870224},{"id":"https://openalex.org/C191832335","wikidata":"https://www.wikidata.org/wiki/Q4262191","display_name":"Fourier integral operator","level":3,"score":0.4432605504989624},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43770450353622437},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38963499665260315},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15308144688606262},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13460806012153625},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.056239157915115356},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"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/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.0},{"id":"https://openalex.org/C171686973","wikidata":"https://www.wikidata.org/wiki/Q17098676","display_name":"Macdonald polynomials","level":4,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym13122310","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13122310","pdf_url":"https://www.mdpi.com/2073-8994/13/12/2310/pdf?version=1638517666","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:af193ea0bac6441ea75b742387d644b1","is_oa":true,"landing_page_url":"https://doaj.org/article/af193ea0bac6441ea75b742387d644b1","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 12, p 2310 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/13/12/2310/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym13122310","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/sym13122310","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13122310","pdf_url":"https://www.mdpi.com/2073-8994/13/12/2310/pdf?version=1638517666","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":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3214924991.pdf","grobid_xml":"https://content.openalex.org/works/W3214924991.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1585430676","https://openalex.org/W1976267013","https://openalex.org/W2015518611","https://openalex.org/W2020415435","https://openalex.org/W2321807852","https://openalex.org/W2581566267","https://openalex.org/W2766862070","https://openalex.org/W2899892223","https://openalex.org/W2915055238","https://openalex.org/W2951278285","https://openalex.org/W2963020228","https://openalex.org/W2963066622","https://openalex.org/W2964139790","https://openalex.org/W2994383972","https://openalex.org/W3001106890","https://openalex.org/W3082851585","https://openalex.org/W3105720941","https://openalex.org/W4233886660","https://openalex.org/W6634976919"],"related_works":["https://openalex.org/W1004063606","https://openalex.org/W2029291378","https://openalex.org/W3134534456","https://openalex.org/W3145840068","https://openalex.org/W1520266593","https://openalex.org/W2489272798","https://openalex.org/W4406938385","https://openalex.org/W4226102989","https://openalex.org/W1966508971","https://openalex.org/W2950699279"],"abstract_inverted_index":{"Owning":[0],"to":[1,50],"the":[2,24,29,45,51,64],"importance":[3],"and":[4,33,40,61],"great":[5],"interest":[6],"of":[7,53,56,63],"differential":[8,12],"operators,":[9,13],"two":[10],"generalized":[11,47],"which":[14,44],"may":[15],"be":[16],"symmetric":[17],"or":[18],"assymetric,":[19],"are":[20,67],"newly":[21],"introduced":[22],"in":[23],"present":[25],"paper.":[26],"Motivated":[27],"by":[28],"familiar":[30],"Jackson\u2019s":[31],"second":[32],"third":[34],"Bessel":[35],"functions,":[36],"we":[37],"derive":[38],"necessary":[39],"sufficient":[41],"conditions":[42],"for":[43],"new":[46],"operators":[48],"belong":[49],"class":[52],"q-starlike":[54],"functions":[55],"order":[57],"alpha.":[58],"Several":[59],"corollaries":[60],"consequences":[62],"main":[65],"results":[66],"also":[68],"pointed":[69],"out.":[70]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3}],"updated_date":"2026-08-10T07:06:39.071514","created_date":"2025-10-10T00:00:00"}