Evaluating residues and integrals through negative dimensional integration method (NDIM)

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dc.contributor.authorSuzuki, Alfredo Takashi [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:22:00Z
dc.date.available2014-05-27T11:22:00Z
dc.date.issued2006-10-01
dc.description.abstractThe standard way of evaluating residues and some real integrals through the residue theorem (Cauchy's theorem) is well-known and widely applied in many branches of Physics. Herein we present an alternative technique based on the negative dimensional integration method (NDIM) originally developed to handle Feynman integrals. The advantage of this new technique is that we need only to apply Gaussian integration and solve systems of linear algebraic equations, with no need to determine the poles themselves or their residues, as well as obtaining a whole class of results for differing orders of poles simultaneously.en
dc.description.affiliationInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona, 145, 01405-900 São Paulo, SP
dc.description.affiliationUnespInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona, 145, 01405-900 São Paulo, SP
dc.format.extent2767-2779
dc.identifierhttp://www.actaphys.uj.edu.pl/_cur/store/vol37/pdf/v37p2767.pdf
dc.identifier.citationActa Physica Polonica B, v. 37, n. 10, p. 2767-2779, 2006.
dc.identifier.file2-s2.0-33750014945.pdf
dc.identifier.issn0587-4254
dc.identifier.lattes7511139477883318
dc.identifier.scopus2-s2.0-33750014945
dc.identifier.urihttp://hdl.handle.net/11449/69149
dc.identifier.wosWOS:000241402900003
dc.language.isoeng
dc.relation.ispartofActa Physica Polonica B
dc.relation.ispartofjcr0.875
dc.relation.ispartofsjr0,432
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectAlgebraic equations
dc.subjectCauchy's theorem
dc.subjectGaussian integration
dc.subjectNegative dimensional integration method (NDIM)
dc.subjectIntegration
dc.subjectLinear algebra
dc.subjectLinear equations
dc.subjectPoles and zeros
dc.subjectTheorem proving
dc.subjectIntegral equations
dc.titleEvaluating residues and integrals through negative dimensional integration method (NDIM)en
dc.typeArtigo
dcterms.licensehttp://www.actaphys.uj.edu.pl/docs/copyright.pdf
unesp.author.lattes7511139477883318
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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