{"id":"https://openalex.org/W4362671350","doi":"https://doi.org/10.3390/axioms12040356","title":"Analysis of Generalized Bessel\u2013Maitland Function and Its Properties","display_name":"Analysis of Generalized Bessel\u2013Maitland Function and Its Properties","publication_year":2023,"publication_date":"2023-04-05","ids":{"openalex":"https://openalex.org/W4362671350","doi":"https://doi.org/10.3390/axioms12040356"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12040356","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12040356","pdf_url":"https://www.mdpi.com/2075-1680/12/4/356/pdf?version=1680744517","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/2075-1680/12/4/356/pdf?version=1680744517","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082976722","display_name":"Talha Usman","orcid":"https://orcid.org/0000-0002-4208-6784"},"institutions":[{"id":"https://openalex.org/I4403386702","display_name":"University of Technology and Applied Sciences-Suhar","ror":"https://ror.org/018g8cj68","country_code":"OM","type":"education","lineage":["https://openalex.org/I4403386702","https://openalex.org/I4405258755"]}],"countries":["OM"],"is_corresponding":true,"raw_author_name":"Talha Usman","raw_affiliation_strings":["Department of General Requirements, University of Technology and Applied Sciences, Sur 411, Oman"],"raw_orcid":"https://orcid.org/0000-0002-4208-6784","affiliations":[{"raw_affiliation_string":"Department of General Requirements, University of Technology and Applied Sciences, Sur 411, Oman","institution_ids":["https://openalex.org/I4403386702"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075128940","display_name":"Nabiullah Khan","orcid":"https://orcid.org/0000-0003-0389-7899"},"institutions":[{"id":"https://openalex.org/I171210897","display_name":"Aligarh Muslim University","ror":"https://ror.org/03kw9gc02","country_code":"IN","type":"education","lineage":["https://openalex.org/I171210897"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Nabiullah Khan","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh 202002, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh 202002, India","institution_ids":["https://openalex.org/I171210897"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101849731","display_name":"Francisco Mart\u00ednez","orcid":"https://orcid.org/0000-0002-3733-1239"},"institutions":[{"id":"https://openalex.org/I3123212020","display_name":"Universidad Polit\u00e9cnica de Cartagena","ror":"https://ror.org/02k5kx966","country_code":"ES","type":"education","lineage":["https://openalex.org/I3123212020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francisco Mart\u00ednez","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada y Estad\u00edstica, Universidad Polit\u00e9cnica de Cartagena, 30203 Cartagena, Spain"],"raw_orcid":"https://orcid.org/0000-0002-3733-1239","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada y Estad\u00edstica, Universidad Polit\u00e9cnica de Cartagena, 30203 Cartagena, Spain","institution_ids":["https://openalex.org/I3123212020"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082976722"],"corresponding_institution_ids":["https://openalex.org/I4403386702"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.2003,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.43530592,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"12","issue":"4","first_page":"356","last_page":"356"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9975000023841858,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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":0.7100831866264343},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6915382146835327},{"id":"https://openalex.org/keywords/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.5583053231239319},{"id":"https://openalex.org/keywords/hypergeometric-function","display_name":"Hypergeometric function","score":0.5399316549301147},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.530668318271637},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.49097874760627747},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4789196252822876},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.46456044912338257},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.4612869322299957},{"id":"https://openalex.org/keywords/generalized-hypergeometric-function","display_name":"Generalized hypergeometric function","score":0.4564010202884674},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4511883556842804},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4494360685348511},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44824841618537903},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.44275742769241333},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.4100898504257202},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.11046662926673889},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.10225129127502441},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1010846495628357}],"concepts":[{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.7100831866264343},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6915382146835327},{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.5583053231239319},{"id":"https://openalex.org/C197320386","wikidata":"https://www.wikidata.org/wiki/Q21028472","display_name":"Hypergeometric function","level":2,"score":0.5399316549301147},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.530668318271637},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.49097874760627747},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4789196252822876},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.46456044912338257},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.4612869322299957},{"id":"https://openalex.org/C158241908","wikidata":"https://www.wikidata.org/wiki/Q109744257","display_name":"Generalized hypergeometric function","level":3,"score":0.4564010202884674},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4511883556842804},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4494360685348511},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44824841618537903},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.44275742769241333},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.4100898504257202},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.11046662926673889},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.10225129127502441},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1010846495628357},{"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms12040356","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12040356","pdf_url":"https://www.mdpi.com/2075-1680/12/4/356/pdf?version=1680744517","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:5a370c7bdcb748878d3f1533c06097c3","is_oa":true,"landing_page_url":"https://doaj.org/article/5a370c7bdcb748878d3f1533c06097c3","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 4, p 356 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/12/4/356/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms12040356","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 4; Pages: 356","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms12040356","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12040356","pdf_url":"https://www.mdpi.com/2075-1680/12/4/356/pdf?version=1680744517","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4362671350.pdf"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1991202559","https://openalex.org/W2056080408","https://openalex.org/W2063067239","https://openalex.org/W2134928079","https://openalex.org/W2313480743","https://openalex.org/W2512232492","https://openalex.org/W2782460321","https://openalex.org/W2791154508","https://openalex.org/W2805284930","https://openalex.org/W2807734377","https://openalex.org/W2945166078","https://openalex.org/W3082373835","https://openalex.org/W3170150623","https://openalex.org/W3194779468","https://openalex.org/W3202696831","https://openalex.org/W3209506285","https://openalex.org/W4293767532","https://openalex.org/W4319444189","https://openalex.org/W6747575523","https://openalex.org/W6752609132","https://openalex.org/W6796760159"],"related_works":["https://openalex.org/W385902220","https://openalex.org/W1200038076","https://openalex.org/W2907902040","https://openalex.org/W2091359632","https://openalex.org/W1997701590","https://openalex.org/W89606957","https://openalex.org/W2088643735","https://openalex.org/W4386941619","https://openalex.org/W2563854046","https://openalex.org/W4252992526"],"abstract_inverted_index":{"In":[0,49],"this":[1,27,50,69,117],"article,":[2],"we":[3,21,52,89],"introduce":[4,38],"the":[5,11,33,44,58,65,76,95,99,106],"generalized":[6,77],"Bessel\u2013Maitland":[7],"function":[8,14,28,70],"(EGBMF)":[9],"using":[10,94],"extended":[12,59],"beta":[13],"and":[15,32,39,81,98,108,133],"some":[16,41],"important":[17],"properties":[18,42],"obtained.":[19,87],"Thus,":[20],"first":[22],"show":[23,104],"interesting":[24],"relationships":[25],"of":[26,43,62,68,75],"with":[29,47],"Laguerre":[30],"polynomials":[31],"Whittaker":[34],"functions.":[35],"We":[36],"also":[37,86],"prove":[40],"derivatives":[45,61],"associated":[46],"EGBMF.":[48],"sense,":[51],"establish":[53],"a":[54],"result":[55],"relative":[56],"to":[57],"fractional":[60],"Riemann\u2013Liouville.":[63],"Furthermore,":[64],"Mellin":[66],"transform":[67,84],"is":[71,85],"evaluated":[72],"in":[73,123,125,128],"terms":[74],"Wright":[78],"hypergeometric":[79],"function,":[80],"its":[82],"Euler":[83],"Finally,":[88],"derive":[90],"several":[91,126],"graphical":[92],"representations":[93],"Gauss":[96],"quadrature":[97,101],"Laguerre\u2013Gauss":[100],"methods,":[102],"which":[103],"that":[105],"numerical":[107],"theoretical":[109],"simulations":[110],"are":[111],"consistent.":[112],"The":[113],"results":[114],"derived":[115],"from":[116],"research":[118],"can":[119],"be":[120],"potentially":[121],"useful":[122],"applications":[124],"fields,":[127],"particular,":[129],"physics,":[130],"applied":[131],"mathematics,":[132],"engineering.":[134]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2023-04-07T00:00:00"}
