Mostrar el registro sencillo del ítem
An extension of the multiple Erdélyi-Kober operator and representations of the generalized hypergeometric functions
dc.creator | Karp, D. B. | es_ES |
dc.creator | López García, José Luis | es_ES |
dc.date.accessioned | 2019-06-20T08:02:54Z | |
dc.date.available | 2019-10-25T23:00:13Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 1311-0454 (Print) | |
dc.identifier.issn | 1314-2224 (Electronic) | |
dc.identifier.uri | https://hdl.handle.net/2454/33464 | |
dc.description.abstract | In this paper we investigate the extension of the multiple Erd elyi-Kober fractional integral operator of Kiryakova to arbitrary complex values of parameters by the way of regularization. The regularization involves derivatives of the function in question and the integration with respect to a kernel expressed in terms of special case of Meijer's G function. An action of the regularized multiple Erd elyi-Kober operator on some simple kernels leads to decomposition formulas for the generalized hypergeometric functions. In the ultimate section, we de ne an alternative regularization better suited for representing the Bessel type generalized hypergeometric function p1Fp. A particular case of this regularization is then used to identify some new facts about the positivity and reality of zeros of this function. | 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 | 18 p. | |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | De Gruyter | en |
dc.relation.ispartof | Fractional Calculus & Applied Analysis, Vol. 21, No 5 (2018), 1360–1376 | en |
dc.rights | © 2018 Diogenes Co., Sofia | en |
dc.subject | Multiple Erdélyi-Kober operator | en |
dc.subject | Meijer's G function | en |
dc.subject | Generalized hypergeometric function | en |
dc.subject | Hadamard finite part | en |
dc.title | An extension of the multiple Erdélyi-Kober operator and representations of the generalized hypergeometric functions | en |
dc.type | info:eu-repo/semantics/article | en |
dc.type | Artículo / Artikulua | es |
dc.contributor.department | Ingeniería Matemática e Informática | es_ES |
dc.contributor.department | Matematika eta Informatika Ingeniaritza | eu |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.rights.accessRights | Acceso abierto / Sarbide irekia | es |
dc.embargo.terms | 2019-10-25 | |
dc.identifier.doi | 10.1515/fca-2018-0071 | |
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/10.1515/fca-2018-0071 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
dc.type.version | Versión aceptada / Onetsi den bertsioa | es |
dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa | es |