{"id":"https://openalex.org/W4287878598","doi":"https://doi.org/10.3390/sym14081518","title":"A Differential Operator Associated with q-Raina Function","display_name":"A Differential Operator Associated with q-Raina Function","publication_year":2022,"publication_date":"2022-07-25","ids":{"openalex":"https://openalex.org/W4287878598","doi":"https://doi.org/10.3390/sym14081518"},"language":"en","primary_location":{"id":"doi:10.3390/sym14081518","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14081518","pdf_url":"https://www.mdpi.com/2073-8994/14/8/1518/pdf?version=1658794034","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/2073-8994/14/8/1518/pdf?version=1658794034","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088950070","display_name":"Adel A. Attiya","orcid":"https://orcid.org/0000-0001-7135-7400"},"institutions":[{"id":"https://openalex.org/I159247623","display_name":"Mansoura University","ror":"https://ror.org/01k8vtd75","country_code":"EG","type":"education","lineage":["https://openalex.org/I159247623"]},{"id":"https://openalex.org/I4210088963","display_name":"University of Ha'il","ror":"https://ror.org/013w98a82","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210088963"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"Adel A. Attiya","raw_affiliation_strings":["Department of Mathematics Faculty of Science, Mansoura University, Mansoura 35516, Egypt","Department of Mathematics, College of Science, University of Ha\u2019il, Ha\u2019il 81451, Saudi Arabia","Department of Mathematics, College of Science, University of Ha'il, Ha'il 81451, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-7135-7400","affiliations":[{"raw_affiliation_string":"Department of Mathematics Faculty of Science, Mansoura University, Mansoura 35516, Egypt","institution_ids":["https://openalex.org/I159247623"]},{"raw_affiliation_string":"Department of Mathematics, College of Science, University of Ha\u2019il, Ha\u2019il 81451, Saudi Arabia","institution_ids":["https://openalex.org/I4210088963"]},{"raw_affiliation_string":"Department of Mathematics, College of Science, University of Ha'il, Ha'il 81451, Saudi Arabia","institution_ids":["https://openalex.org/I4210088963"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087027601","display_name":"Rabha W. Ibrahim","orcid":"https://orcid.org/0000-0001-9341-025X"},"institutions":[{"id":"https://openalex.org/I3132238960","display_name":"Institute of Electrical and Electronics Engineers","ror":"https://ror.org/01n002310","country_code":"US","type":"education","lineage":["https://openalex.org/I3132238960"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rabha W. Ibrahim","raw_affiliation_strings":["The Institute of Electrical and Electronics Engineers (IEEE): 94086547, Portland, OR 97005, USA"],"raw_orcid":"https://orcid.org/0000-0001-9341-025X","affiliations":[{"raw_affiliation_string":"The Institute of Electrical and Electronics Engineers (IEEE): 94086547, Portland, OR 97005, USA","institution_ids":["https://openalex.org/I3132238960"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088152352","display_name":"Abeer M. Albalahi","orcid":"https://orcid.org/0000-0002-7619-6869"},"institutions":[{"id":"https://openalex.org/I4210088963","display_name":"University of Ha'il","ror":"https://ror.org/013w98a82","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210088963"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Abeer M. Albalahi","raw_affiliation_strings":["Department of Mathematics, College of Science, University of Ha\u2019il, Ha\u2019il 81451, Saudi Arabia","Department of Mathematics, College of Science, University of Ha'il, Ha'il 81451, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, University of Ha\u2019il, Ha\u2019il 81451, Saudi Arabia","institution_ids":["https://openalex.org/I4210088963"]},{"raw_affiliation_string":"Department of Mathematics, College of Science, University of Ha'il, Ha'il 81451, Saudi Arabia","institution_ids":["https://openalex.org/I4210088963"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007779636","display_name":"Ekram E. Ali","orcid":"https://orcid.org/0000-0002-5477-0065"},"institutions":[{"id":"https://openalex.org/I4210088963","display_name":"University of Ha'il","ror":"https://ror.org/013w98a82","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210088963"]},{"id":"https://openalex.org/I88017793","display_name":"Port Said University","ror":"https://ror.org/01vx5yq44","country_code":"EG","type":"education","lineage":["https://openalex.org/I88017793"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"Ekram E. Ali","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42521, Egypt","Department of Mathematics, College of Science, University of Ha\u2019il, Ha\u2019il 81451, Saudi Arabia","Department of Mathematics, College of Science, University of Ha'il, Ha'il 81451, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-5477-0065","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42521, Egypt","institution_ids":["https://openalex.org/I88017793"]},{"raw_affiliation_string":"Department of Mathematics, College of Science, University of Ha\u2019il, Ha\u2019il 81451, Saudi Arabia","institution_ids":["https://openalex.org/I4210088963"]},{"raw_affiliation_string":"Department of Mathematics, College of Science, University of Ha'il, Ha'il 81451, Saudi Arabia","institution_ids":["https://openalex.org/I4210088963"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085772420","display_name":"Teodor Bulboac\u0103","orcid":"https://orcid.org/0000-0001-8026-218X"},"institutions":[{"id":"https://openalex.org/I3125347698","display_name":"Babe\u0219-Bolyai University","ror":"https://ror.org/02rmd1t30","country_code":"RO","type":"education","lineage":["https://openalex.org/I3125347698"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Teodor Bulboac\u0103","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Babe\u015f-Bolyai University, 400084 Cluj-Napoca, Romania"],"raw_orcid":"https://orcid.org/0000-0001-8026-218X","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Babe\u015f-Bolyai University, 400084 Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I3125347698"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5088950070"],"corresponding_institution_ids":["https://openalex.org/I159247623","https://openalex.org/I4210088963"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":4.4101,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.95751404,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"14","issue":"8","first_page":"1518","last_page":"1518"},"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":0.9133999943733215,"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/unit-disk","display_name":"Unit disk","score":0.8752509355545044},{"id":"https://openalex.org/keywords/subordination","display_name":"Subordination (linguistics)","score":0.7291368246078491},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.7033475041389465},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6596492528915405},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6327660083770752},{"id":"https://openalex.org/keywords/analytic-function","display_name":"Analytic function","score":0.6307355165481567},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5658379197120667},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.549233615398407},{"id":"https://openalex.org/keywords/differential-calculus","display_name":"Differential calculus","score":0.5411590337753296},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5230313539505005},{"id":"https://openalex.org/keywords/univalent-function","display_name":"Univalent function","score":0.4591614007949829},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4566156268119812},{"id":"https://openalex.org/keywords/hypoelliptic-operator","display_name":"Hypoelliptic operator","score":0.4334830343723297},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.416348397731781},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3649950325489044},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32533442974090576},{"id":"https://openalex.org/keywords/semi-elliptic-operator","display_name":"Semi-elliptic operator","score":0.23591026663780212},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08231508731842041}],"concepts":[{"id":"https://openalex.org/C47177299","wikidata":"https://www.wikidata.org/wiki/Q2390323","display_name":"Unit disk","level":2,"score":0.8752509355545044},{"id":"https://openalex.org/C2777406531","wikidata":"https://www.wikidata.org/wiki/Q2031017","display_name":"Subordination (linguistics)","level":2,"score":0.7291368246078491},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.7033475041389465},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6596492528915405},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6327660083770752},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.6307355165481567},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5658379197120667},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.549233615398407},{"id":"https://openalex.org/C56802139","wikidata":"https://www.wikidata.org/wiki/Q149999","display_name":"Differential calculus","level":2,"score":0.5411590337753296},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5230313539505005},{"id":"https://openalex.org/C178260045","wikidata":"https://www.wikidata.org/wiki/Q2608535","display_name":"Univalent function","level":3,"score":0.4591614007949829},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4566156268119812},{"id":"https://openalex.org/C187123786","wikidata":"https://www.wikidata.org/wiki/Q4138816","display_name":"Hypoelliptic operator","level":4,"score":0.4334830343723297},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.416348397731781},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3649950325489044},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32533442974090576},{"id":"https://openalex.org/C24902271","wikidata":"https://www.wikidata.org/wiki/Q7449297","display_name":"Semi-elliptic operator","level":3,"score":0.23591026663780212},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08231508731842041},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/sym14081518","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14081518","pdf_url":"https://www.mdpi.com/2073-8994/14/8/1518/pdf?version=1658794034","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:3994ed62fbe146c6969f2195ba7da360","is_oa":true,"landing_page_url":"https://doaj.org/article/3994ed62fbe146c6969f2195ba7da360","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 14, Iss 8, p 1518 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/8/1518/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14081518","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/sym14081518","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14081518","pdf_url":"https://www.mdpi.com/2073-8994/14/8/1518/pdf?version=1658794034","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":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4287878598.pdf","grobid_xml":"https://content.openalex.org/works/W4287878598.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W116606405","https://openalex.org/W254209083","https://openalex.org/W1950030264","https://openalex.org/W1973856482","https://openalex.org/W1983127118","https://openalex.org/W2000829668","https://openalex.org/W2016585644","https://openalex.org/W2045350842","https://openalex.org/W2138075164","https://openalex.org/W2484044808","https://openalex.org/W2512190974","https://openalex.org/W2605864316","https://openalex.org/W2749619176","https://openalex.org/W2770708411","https://openalex.org/W2963327521","https://openalex.org/W3025858384","https://openalex.org/W3028450315","https://openalex.org/W3055110783","https://openalex.org/W3118369659","https://openalex.org/W3137850895","https://openalex.org/W3204674919","https://openalex.org/W4206797039","https://openalex.org/W4210704085","https://openalex.org/W4213210300","https://openalex.org/W6609593801","https://openalex.org/W6643524560","https://openalex.org/W6782162702","https://openalex.org/W6807638528"],"related_works":["https://openalex.org/W3097857285","https://openalex.org/W3153251777","https://openalex.org/W4327786261","https://openalex.org/W3025126867","https://openalex.org/W4388477834","https://openalex.org/W2086918857","https://openalex.org/W3171518180","https://openalex.org/W4366283121","https://openalex.org/W2386446834","https://openalex.org/W2921210620"],"abstract_inverted_index":{"The":[0,109],"topics":[1],"studied":[2],"in":[3,99],"the":[4,15,24,28,39,42,46,52,55,66,74,79,87,100,121,134],"geometric":[5],"function":[6,81],"theory":[7,110],"of":[8,17,41,54,96,111,125,145],"one":[9],"variable":[10],"functions":[11,26,98],"are":[12,48],"connected":[13],"with":[14,63,78],"concept":[16],"Symmetry":[18],"because":[19],"for":[20],"some":[21],"special":[22,138],"cases":[23],"analytic":[25,97],"map":[27],"open":[29,56],"unit":[30,57,101],"disk":[31,58,102],"onto":[32],"a":[33,60,93],"symmetric":[34,61],"domain.":[35],"Thus,":[36],"if":[37],"all":[38],"coefficients":[40],"Taylor":[43],"expansion":[44],"at":[45],"origin":[47],"real":[49,67],"numbers,":[50],"then":[51],"image":[53],"is":[59,86],"domain":[62],"respect":[64],"to":[65],"axis.":[68],"In":[69],"this":[70,105,126],"paper,":[71],"we":[72,118,140],"formulate":[73],"q-differential":[75],"operator":[76],"associated":[77],"q-Raina":[80],"using":[82,104],"quantum":[83],"calculus,":[84],"that":[85],"so-called":[88],"Jacksons\u2019":[89],"calculus.":[90],"We":[91],"establish":[92],"new":[94,127],"subclass":[95],"by":[103],"newly":[106],"developed":[107],"operator.":[108],"differential":[112],"subordination":[113,129],"inspired":[114],"our":[115,146],"approach;":[116],"therefore,":[117],"geometrically":[119],"explore":[120],"most":[122],"popular":[123],"properties":[124],"operator:":[128],"properties,":[130],"coefficient":[131],"bounds,":[132],"and":[133],"Fekete-Szeg\u0151":[135],"problem.":[136],"As":[137],"cases,":[139],"highlight":[141],"certain":[142],"well-known":[143],"corollaries":[144],"primary":[147],"findings.":[148]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2022-07-26T00:00:00"}