Cauchy Principal Value Contour Integral with Applications

[EN] Cauchy principal value is a standard method applied in mathematical applications by which an improper, and possibly divergent, integral is measured in a balanced way around singularities or at infinity. On the other hand, entropy prediction of systems behavior from a thermodynamic perspective c...

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Detalles Bibliográficos
Autores: Legua Fernández, Matilde Pilar, Sánchez Ruiz, Luis Manuel|||0000-0001-7559-6724
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/101910
Acceso en línea:https://riunet.upv.es/handle/10251/101910
Access Level:acceso abierto
Palabra clave:Cauchy principal value
Contour integral
Entropy as measurement
Information extraction
Thermodynamics
aerodynamics
MATEMATICA APLICADA
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spelling Cauchy Principal Value Contour Integral with ApplicationsLegua Fernández, Matilde PilarSánchez Ruiz, Luis Manuel|||0000-0001-7559-6724Cauchy principal valueContour integralEntropy as measurementInformation extractionThermodynamicsaerodynamicsMATEMATICA APLICADA[EN] Cauchy principal value is a standard method applied in mathematical applications by which an improper, and possibly divergent, integral is measured in a balanced way around singularities or at infinity. On the other hand, entropy prediction of systems behavior from a thermodynamic perspective commonly involves contour integrals. With the aim of facilitating the calculus of such integrals in this entropic scenario, we revisit the generalization of Cauchy principal value to complex contour integral, formalize its definition and-by using residue theory techniques-provide an useful way to evaluate them.MDPI AGDepartamento de Matemática AplicadaEscuela Técnica Superior de Ingeniería Aeroespacial y Diseño IndustrialCentro de Investigación en Tecnologías GráficasRepositorio Institucional de la Universitat Politècnica de València Riunet20172017-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/101910reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento (by)http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1019102026-06-13T07:49:27Z
dc.title.none.fl_str_mv Cauchy Principal Value Contour Integral with Applications
title Cauchy Principal Value Contour Integral with Applications
spellingShingle Cauchy Principal Value Contour Integral with Applications
Legua Fernández, Matilde Pilar
Cauchy principal value
Contour integral
Entropy as measurement
Information extraction
Thermodynamics
aerodynamics
MATEMATICA APLICADA
title_short Cauchy Principal Value Contour Integral with Applications
title_full Cauchy Principal Value Contour Integral with Applications
title_fullStr Cauchy Principal Value Contour Integral with Applications
title_full_unstemmed Cauchy Principal Value Contour Integral with Applications
title_sort Cauchy Principal Value Contour Integral with Applications
dc.creator.none.fl_str_mv Legua Fernández, Matilde Pilar
Sánchez Ruiz, Luis Manuel|||0000-0001-7559-6724
author Legua Fernández, Matilde Pilar
author_facet Legua Fernández, Matilde Pilar
Sánchez Ruiz, Luis Manuel|||0000-0001-7559-6724
author_role author
author2 Sánchez Ruiz, Luis Manuel|||0000-0001-7559-6724
author2_role author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Escuela Técnica Superior de Ingeniería Aeroespacial y Diseño Industrial
Centro de Investigación en Tecnologías Gráficas
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Cauchy principal value
Contour integral
Entropy as measurement
Information extraction
Thermodynamics
aerodynamics
MATEMATICA APLICADA
topic Cauchy principal value
Contour integral
Entropy as measurement
Information extraction
Thermodynamics
aerodynamics
MATEMATICA APLICADA
description [EN] Cauchy principal value is a standard method applied in mathematical applications by which an improper, and possibly divergent, integral is measured in a balanced way around singularities or at infinity. On the other hand, entropy prediction of systems behavior from a thermodynamic perspective commonly involves contour integrals. With the aim of facilitating the calculus of such integrals in this entropic scenario, we revisit the generalization of Cauchy principal value to complex contour integral, formalize its definition and-by using residue theory techniques-provide an useful way to evaluate them.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/101910
url https://riunet.upv.es/handle/10251/101910
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI AG
publisher.none.fl_str_mv MDPI AG
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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