{"id":"https://openalex.org/W3045066626","doi":null,"title":"Image formulas of certain special functions via generalized Katugampola fractional integral operator","display_name":"Image formulas of certain special functions via generalized Katugampola fractional integral operator","publication_year":2020,"publication_date":"2020-05-24","ids":{"openalex":"https://openalex.org/W3045066626","mag":"3045066626"},"language":"en","primary_location":{"id":"mag:3045066626","doi":null,"is_oa":false,"landing_page_url":"http://nonlinearstudies.com/index.php/mesa/article/view/2223","pdf_url":null,"source":{"id":"https://openalex.org/S2764591015","display_name":"Journal | MESA","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal | MESA","raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079356641","display_name":"Mridula Purohit","orcid":"https://orcid.org/0000-0001-9860-6593","observed_orcids":["https://orcid.org/0000-0001-9860-6593"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mridula Purohit","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-9860-6593","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5015990480","display_name":"Aditi Badguzer","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aditi Badguzer","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3885,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.45356662,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"11","issue":"2","first_page":"283","last_page":"290"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.7250999808311462,"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"}},"topics":[{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.7250999808311462,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.10580000281333923,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.10130000114440918,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/generalized-fractional-integral-operators","display_name":"generalized fractional integral operators","score":0.7020000219345093},{"id":"https://openalex.org/keywords/power-function","display_name":"power function","score":0.6499999761581421},{"id":"https://openalex.org/keywords/wright-function","display_name":"Wright function","score":0.9660000205039978},{"id":"https://openalex.org/keywords/gaussian-hypergeometric-function","display_name":"Gauss hypergeometric function","score":0.9509999752044678},{"id":"https://openalex.org/keywords/riemann-liouville-integral","display_name":"Riemann-Liouville integral","score":0.8799999952316284}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.694881021976471},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6700204610824585},{"id":"https://openalex.org/C197320386","wikidata":"https://www.wikidata.org/wiki/Q21028472","display_name":"Hypergeometric function","level":2,"score":0.6128429174423218},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.5383044481277466},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4763788878917694},{"id":"https://openalex.org/C158241908","wikidata":"https://www.wikidata.org/wiki/Q109744257","display_name":"Generalized hypergeometric function","level":3,"score":0.46226632595062256},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45775163173675537},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44894903898239136},{"id":"https://openalex.org/C90230998","wikidata":"https://www.wikidata.org/wiki/Q3406746","display_name":"Hadamard product","level":3,"score":0.4119578003883362},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34793341159820557},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33904606103897095},{"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:3045066626","doi":null,"is_oa":false,"landing_page_url":"http://nonlinearstudies.com/index.php/mesa/article/view/2223","pdf_url":null,"source":{"id":"https://openalex.org/S2764591015","display_name":"Journal | MESA","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal | MESA","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3116793855","https://openalex.org/W2887270446","https://openalex.org/W3168089910","https://openalex.org/W2123537734","https://openalex.org/W4386193912","https://openalex.org/W7098620960","https://openalex.org/W2073762709","https://openalex.org/W7203457220","https://openalex.org/W3198366078","https://openalex.org/W2916777341"],"abstract_inverted_index":{"In":[0],"the":[1,60,63],"present":[2],"paper":[3],"fractional":[4],"integral":[5],"operator":[6],"due":[7],"to":[8,12],"Katugampola":[9],"is":[10],"applied":[11],"power":[13],"function":[14,36,40],"and":[15,26,37,48],"Wright":[16],"function,":[17],"which":[18],"generalizes":[19],"several":[20],"well-known":[21],"operators":[22],"-":[23],"Riemann-Liouville,":[24],"Weyl":[25],"Liouville,":[27],"Katugampola,":[28],"Hadamard,":[29],"Erdelyi-Kober":[30],"into":[31],"one":[32],"form.":[33],"Gauss's":[34],"hypergeometric":[35],"Generalized":[38],"Lauricella":[39],"are":[41,51,56],"obtained":[42],"for":[43],"this":[44],"operator.":[45],"Some":[46,54],"new":[47],"known":[49],"results":[50],"also":[52,57],"illustrated.":[53],"graphs":[55],"given":[58],"in":[59],"support":[61],"of":[62],"result.":[64]},"counts_by_year":[{"year":2022,"cited_by_count":2}],"updated_date":"2025-10-10T17:16:08.811792","created_date":"2020-07-29T00:00:00"}
