{"id":"https://openalex.org/W2083925478","doi":"https://doi.org/10.1080/00207160.2015.1045886","title":"Generalized fractional integrals of product of two<i>H</i>-functions and a general class of polynomials","display_name":"Generalized fractional integrals of product of two<i>H</i>-functions and a general class of polynomials","publication_year":2015,"publication_date":"2015-04-30","ids":{"openalex":"https://openalex.org/W2083925478","doi":"https://doi.org/10.1080/00207160.2015.1045886","mag":"2083925478"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2015.1045886","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1045886","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5030756029","display_name":"Dumitru B\u01celeanu","orcid":"https://orcid.org/0000-0002-0286-7244"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]},{"id":"https://openalex.org/I4210142834","display_name":"Institute of Space Science - INFLPR Subsidiary","ror":"https://ror.org/054a6wv56","country_code":"RO","type":"facility","lineage":["https://openalex.org/I4210142834"]},{"id":"https://openalex.org/I106245021","display_name":"\u00c7ankaya University","ror":"https://ror.org/056wqre19","country_code":"TR","type":"education","lineage":["https://openalex.org/I106245021"]}],"countries":["RO","SA","TR"],"is_corresponding":false,"raw_author_name":"D. Baleanu","raw_affiliation_strings":["Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, PO Box 80204, Jeddah 21589, Saudi Arabia; Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University \u2013 06530, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania","Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, PO Box 80204, Jeddah 21589, Saudi Arabia","Institute of Space Sciences, Magurele-Bucharest, Romania","Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University \u2013 06530, Ankara, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, PO Box 80204, Jeddah 21589, Saudi Arabia; Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University \u2013 06530, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania","institution_ids":["https://openalex.org/I185163786","https://openalex.org/I106245021"]},{"raw_affiliation_string":"Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, PO Box 80204, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"Institute of Space Sciences, Magurele-Bucharest, Romania","institution_ids":["https://openalex.org/I4210142834"]},{"raw_affiliation_string":"Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University \u2013 06530, Ankara, Turkey","institution_ids":["https://openalex.org/I106245021"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000770804","display_name":"Dinesh Kumar","orcid":"https://orcid.org/0000-0001-5415-1777"},"institutions":[{"id":"https://openalex.org/I4400573230","display_name":"Pratap University","ror":"https://ror.org/01px0dw39","country_code":null,"type":"education","lineage":["https://openalex.org/I4400573230"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Dinesh Kumar","raw_affiliation_strings":["Department of Applied Sciences, Pratap University, Chandwaji, N.H. 8, Jaipur 303104, India"],"affiliations":[{"raw_affiliation_string":"Department of Applied Sciences, Pratap University, Chandwaji, N.H. 8, Jaipur 303104, India","institution_ids":["https://openalex.org/I4400573230"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013917704","display_name":"Sun\u0131l Dutt Puroh\u0131t","orcid":"https://orcid.org/0000-0002-1098-5961"},"institutions":[{"id":"https://openalex.org/I159219196","display_name":"Rajasthan Technical University","ror":"https://ror.org/056bber35","country_code":"IN","type":"education","lineage":["https://openalex.org/I159219196"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S.D. Purohit","raw_affiliation_strings":["Department of Mathematics, University College of Engineering, Rajasthan Technical University, Kota 324010, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College of Engineering, Rajasthan Technical University, Kota 324010, India","institution_ids":["https://openalex.org/I159219196"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000770804"],"corresponding_institution_ids":["https://openalex.org/I4400573230"],"apc_list":null,"apc_paid":null,"fwci":3.1104,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.91827957,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"93","issue":"8","first_page":"1320","last_page":"1329"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9991000294685364,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/mathematics","display_name":"Mathematics","score":0.8301453590393066},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6938480138778687},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.6803420782089233},{"id":"https://openalex.org/keywords/feynman-integral","display_name":"Feynman integral","score":0.5598433017730713},{"id":"https://openalex.org/keywords/special-functions","display_name":"Special functions","score":0.472321480512619},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.463100403547287},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44716769456863403},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.44360631704330444},{"id":"https://openalex.org/keywords/volume-integral","display_name":"Volume integral","score":0.4173658788204193},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39282622933387756},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3347899317741394},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2777288556098938},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.16175851225852966},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.10056722164154053}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8301453590393066},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6938480138778687},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6803420782089233},{"id":"https://openalex.org/C2992379347","wikidata":"https://www.wikidata.org/wiki/Q898323","display_name":"Feynman integral","level":3,"score":0.5598433017730713},{"id":"https://openalex.org/C50757856","wikidata":"https://www.wikidata.org/wiki/Q867707","display_name":"Special functions","level":2,"score":0.472321480512619},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.463100403547287},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44716769456863403},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.44360631704330444},{"id":"https://openalex.org/C51577431","wikidata":"https://www.wikidata.org/wiki/Q1788036","display_name":"Volume integral","level":3,"score":0.4173658788204193},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39282622933387756},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3347899317741394},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2777288556098938},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.16175851225852966},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.10056722164154053},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C65574998","wikidata":"https://www.wikidata.org/wiki/Q386272","display_name":"Feynman diagram","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2015.1045886","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1045886","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W69681244","https://openalex.org/W191636288","https://openalex.org/W383538421","https://openalex.org/W1530054495","https://openalex.org/W1559873805","https://openalex.org/W1579007486","https://openalex.org/W1585266678","https://openalex.org/W1587308833","https://openalex.org/W1597143826","https://openalex.org/W1981322360","https://openalex.org/W2001223660","https://openalex.org/W2006315241","https://openalex.org/W2023154053","https://openalex.org/W2032248093","https://openalex.org/W2068182145","https://openalex.org/W2118716499","https://openalex.org/W2332491313","https://openalex.org/W2579416935","https://openalex.org/W4232163885","https://openalex.org/W4241055678","https://openalex.org/W4244854774","https://openalex.org/W6813686640"],"related_works":["https://openalex.org/W2011368105","https://openalex.org/W4225392884","https://openalex.org/W4286615368","https://openalex.org/W3042651375","https://openalex.org/W2914623765","https://openalex.org/W2947518344","https://openalex.org/W2005597601","https://openalex.org/W3163216885","https://openalex.org/W2041127733","https://openalex.org/W605908824"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2,15,21],"this":[3],"paper":[4],"is":[5],"to":[6],"compute":[7],"two":[8,16,34],"unified":[9],"fractional":[10,38],"integrals":[11,28],"involving":[12],"the":[13,52],"product":[14],"H-functions,":[17],"a":[18],"general":[19],"class":[20],"polynomials":[22],"and":[23,44],"Appell":[24],"function":[25],"F3.":[26],"These":[27],"are":[29,47],"further":[30],"applied":[31],"in":[32,51],"proving":[33],"theorems":[35],"on":[36],"Saigo\u2013Maeda":[37],"integral":[39],"operators.":[40],"Some":[41],"consequent":[42],"results":[43],"special":[45],"cases":[46],"also":[48],"pointed":[49],"out":[50],"concluding":[53],"section.":[54]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}