On the Hilbert Formulas and of Change of Integration Order for Some Singular Integrals in the Unit Circle
| dc.contributor.author | Bory Reyes, Juan | |
| dc.contributor.author | Abreu Blaya, Ricardo | |
| dc.contributor.author | Perez De La Rosa, Marco Antonio | |
| dc.contributor.author | Schneider, Baruch | |
| dc.contributor.author | Rosa, Marco Antonio Perez De La | |
| dc.contributor.author | Reyes, Juan Bory | |
| dc.contributor.author | Blaya, Ricardo Abreu | |
| dc.date.accessioned | 2023-06-16T14:41:21Z | |
| dc.date.available | 2023-06-16T14:41:21Z | |
| dc.date.issued | 2018-05-08 | |
| dc.description.abstract | We obtain some analogues of the Hilbert formulas on the unit circle for alpha-hyperholomorphic function theory when alpha is a complex number. Such formulas relate a pair of components of the boundary value of an alpha-hyperholomorphic function in the unit circle with the other one. Furthermore, the corresponding Poincare-Bertrand formula for the alpha-hyperholomorphic singular integrals in the unit circle is presented. | en_US |
| dc.description.sponsorship | Instituto Politecnico Nacional; CONACYT | en_US |
| dc.description.sponsorship | J. Bory Reyes was partially supported by Instituto Politecnico Nacional in the framework of SIP programs. MA Perez de la Rosa wishes to thank 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.identifier.doi | 10.3906/mat-1704-77 | |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.issn | 1303-6149 | |
| dc.identifier.scopus | 2-s2.0-85046727553 | |
| dc.identifier.uri | https://doi.org/10.3906/mat-1704-77 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/yayin/detay/348889 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/2603 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/en/yayin/detay/348889 | |
| dc.language.iso | en | en_US |
| dc.publisher | Scientific Technical Research Council Turkey-Tubitak | en_US |
| dc.relation.ispartof | Turkısh Journal of Mathematıcs | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Hilbert formulas | en_US |
| dc.subject | Poincare-Bertrand formulas | en_US |
| dc.subject | Poincare-Bertrand Formula | en_US |
| dc.subject | Operator | en_US |
| dc.subject | Sphere | en_US |
| dc.subject | Matematik | |
| dc.title | On the Hilbert Formulas and of Change of Integration Order for Some Singular Integrals in the Unit Circle | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.description.department | İEÜ, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
| gdc.description.departmenttemp | [Bory Reyes, Juan; Perez De La Rosa, Marco Antonio] Natl Polytech Inst, Higher Sch Mech & Elect Engn, Batman, Turkey; [Abreu Blaya, Ricardo] Univ Holguin, Fac Informat Technol & Math, Holguin, Cuba; [Schneider, Baruch] Izmir Univ Econ, Fac Arts & Sci, Dept Math, Izmir, Turkey | en_US |
| gdc.description.endpage | 875 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 862 | en_US |
| gdc.description.volume | 42 | en_US |
| gdc.description.wosquality | Q2 | |
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| gdc.oaire.keywords | Poincaré-Bertrand formulas | |
| gdc.oaire.keywords | Hilbert formulas | |
| gdc.oaire.keywords | Eigenvalue problems for linear operators | |
| gdc.oaire.keywords | Integral representations, integral operators, integral equations methods in two dimensions | |
| gdc.oaire.keywords | Integral equations with kernels of Cauchy type | |
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| gdc.virtual.author | Schneider, Baruch | |
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