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On a particular class of Meijer's G functions appearing in fractional calculus
dc.creator | Karp, D. B. | es_ES |
dc.creator | López García, José Luis | es_ES |
dc.date.accessioned | 2019-10-25T10:20:06Z | |
dc.date.available | 2019-10-25T10:20:06Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 1311-1728 | |
dc.identifier.uri | https://hdl.handle.net/2454/35278 | |
dc.description.abstract | In 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.sponsorship | The 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.extent | 16 p. | |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Academic Publications | en |
dc.relation.ispartof | International Journal of Applied Mathematics, 31 (5), 521-543 | en |
dc.rights | © 2018 Academic Publications | en |
dc.subject | Fractional calculus operators | en |
dc.subject | Generalized hypergeometric function | en |
dc.subject | Integral representation | en |
dc.subject | Meijer's G-function | en |
dc.title | On a particular class of Meijer's G functions appearing in fractional calculus | en |
dc.type | info:eu-repo/semantics/article | en |
dc.type | Artículo / Artikulua | es |
dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.rights.accessRights | Acceso abierto / Sarbide irekia | es |
dc.identifier.doi | 10.12732/ijam.v31i5.1 | |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-83490-P/ES/ | en |
dc.relation.publisherversion | https://doi.org/10.12732/ijam.v31i5.1 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | en |
dc.type.version | Versión publicada / Argitaratu den bertsioa | es |