Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14365/839
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dc.contributor.authorBory Reyes, Juan-
dc.contributor.authorAbreu Blaya, Ricardo-
dc.contributor.authorAntonio Perez-de la Rosa, Marco-
dc.contributor.authorSchneider, Baruch-
dc.date.accessioned2023-06-16T12:47:42Z-
dc.date.available2023-06-16T12:47:42Z-
dc.date.issued2017-
dc.identifier.issn0188-7009-
dc.identifier.issn1661-4909-
dc.identifier.urihttps://doi.org/10.1007/s00006-017-0809-8-
dc.identifier.urihttps://hdl.handle.net/20.500.14365/839-
dc.description.abstractThe Cimmino system offers a natural and elegant generalization to four-dimensional case of the Cauchy-Riemann system of first order complex partial differential equations. Recently, it has been proved that many facts from the holomorphic function theory have their extensions onto the Cimmino system theory. In the present work a Poincar,-Bertrand formula related to the Cauchy-Cimmino singular integrals over piecewise Lyapunov surfaces in is derived with recourse to arguments involving quaternionic analysis. Furthermore, this paper obtains some analogues of the Hilbert formulas on the unit 3-sphere and on the 3-dimensional space for the theory of Cimmino system.en_US
dc.description.sponsorshipInstituto Politecnico Nacional; CONACYTen_US
dc.description.sponsorshipJ. Bory Reyes was partially supported by Instituto Politecnico Nacional in the framework of SIP programs. M. A. Perez-de la Rosa wish to thank Asociacion Mexicana de Cultura, A. C. and the Department of Mathematics, Center for Research and Development in Mathematics and Applications, University of Aveiro, Portugal, where the paper was written, for the invitation and hospitality. He acknowledges the support of a Postdoctoral Fellowship given by CONACYT.en_US
dc.language.isoenen_US
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofAdvances in Applıed Clıfford Algebrasen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectQuaternionic analysisen_US
dc.subjectCimmino systemen_US
dc.subjectPoincare-Bertrand formulaen_US
dc.subjectHilbert formulasen_US
dc.subjectTransport-Theoryen_US
dc.subjectUnit-Sphereen_US
dc.subjectSystemen_US
dc.titlePoincare-Bertrand and Hilbert formulas for the Cauchy-Cimmino singular integralsen_US
dc.typeArticleen_US
dc.identifier.doi10.1007/s00006-017-0809-8-
dc.identifier.scopus2-s2.0-85028847223en_US
dc.departmentİzmir Ekonomi Üniversitesien_US
dc.authoridBory-Reyes, Juan/0000-0002-7004-1794-
dc.authoridPerez de la Rosa, Marco Antonio/0000-0003-3498-2914-
dc.authorwosidBory-Reyes, Juan/K-7658-2017-
dc.authorscopusid56041797600-
dc.authorscopusid56041922900-
dc.authorscopusid56060830400-
dc.authorscopusid7402401839-
dc.identifier.volume27en_US
dc.identifier.issue4en_US
dc.identifier.startpage2933en_US
dc.identifier.endpage2960en_US
dc.identifier.wosWOS:000414140500003en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ3-
dc.identifier.wosqualityQ2-
item.grantfulltextembargo_20300101-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.cerifentitytypePublications-
crisitem.author.dept02.02. Mathematics-
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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