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dc.creatorKarp, D. B.es_ES
dc.creatorLópez García, José Luises_ES
dc.date.accessioned2019-10-25T10:20:06Z
dc.date.available2019-10-25T10:20:06Z
dc.date.issued2018
dc.identifier.issn1311-1728
dc.identifier.urihttps://hdl.handle.net/2454/35278
dc.description.abstractIn this paper we investigate the Meijer G-function G p+1,p+1 p,1 which, for certain parameter values, represents the Riemann-Liouville fractional integral of the Meijer-Nørlund function G p,p. p,0 The properties of this function play an important role in extending the multiple Erdélyi-Kober fractional integral operator to arbitrary values of the parameters which is investigated in a separate work, in Fract. Calc. Appl. Anal., Vol. 21, No 5 (2018). Our results for G p+1,p+1 p,1 include: a regularization formula for overlapping poles, a connection formula with the Meijer-Nørlund function, asymptotic formulas around the origin and unity, formulas for the moments, a hypergeometric transform and a sign stabilization theorem for growing parameters.en
dc.description.sponsorshipThe research of the first author has been supported by the Russian Science Foundation under the project 14-11-00022. The research of the second author has been supported by the Spanish Ministry of Economía y Competitividad under the project MTM2017-83490-P and by the Universidad Pública de Navarra.en
dc.format.extent16 p.
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherAcademic Publicationsen
dc.relation.ispartofInternational Journal of Applied Mathematics, 31 (5), 521-543en
dc.rights© 2018 Academic Publicationsen
dc.subjectFractional calculus operatorsen
dc.subjectGeneralized hypergeometric functionen
dc.subjectIntegral representationen
dc.subjectMeijer's G-functionen
dc.titleOn a particular class of Meijer's G functions appearing in fractional calculusen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentUniversidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticases_ES
dc.contributor.departmentNafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Sailaeu
dc.contributor.departmentUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoa. InaMat - Institute for Advanced Materialses_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.identifier.doi10.12732/ijam.v31i5.1
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/2PE/MTM2017-83490-Pen
dc.relation.publisherversionhttps://doi.org/10.12732/ijam.v31i5.1
dc.type.versioninfo:eu-repo/semantics/publishedVersionen
dc.type.versionVersión publicada / Argitaratu den bertsioaes


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