An approximation formula for Euler-Mascheroni's constant

Autores
Panzone, Pablo Andres
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A fast approximation formula for Euler–Mascheroni’s constant based on a certain integral due to Peter Borwein is given. This asymptotic formula for γ involves harmonic numbers, ln 2 and rational numbers whose denominators are powers of 2.
Fil: Panzone, Pablo Andres. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Materia
EULER-MASCHERONI,S CONSTANT
APPROXIMATION
CRITERIA OF IRRATIONALITY
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/111809
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling An approximation formula for Euler-Mascheroni's constantPanzone, Pablo AndresEULER-MASCHERONI,S CONSTANTAPPROXIMATIONCRITERIA OF IRRATIONALITYhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A fast approximation formula for Euler–Mascheroni’s constant based on a certain integral due to Peter Borwein is given. This asymptotic formula for γ involves harmonic numbers, ln 2 and rational numbers whose denominators are powers of 2.Fil: Panzone, Pablo Andres. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaUnión Matemática Argentina2016-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/111809Panzone, Pablo Andres; An approximation formula for Euler-Mascheroni's constant; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 57; 1; 1-2016; 9-220041-69321669-9637CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/revuma.php?p=toc/vol57info:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/pdf/v57n1/v57n1a02.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:54:26Zoai:ri.conicet.gov.ar:11336/111809instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-12 09:54:26.847CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An approximation formula for Euler-Mascheroni's constant
title An approximation formula for Euler-Mascheroni's constant
spellingShingle An approximation formula for Euler-Mascheroni's constant
Panzone, Pablo Andres
EULER-MASCHERONI,S CONSTANT
APPROXIMATION
CRITERIA OF IRRATIONALITY
title_short An approximation formula for Euler-Mascheroni's constant
title_full An approximation formula for Euler-Mascheroni's constant
title_fullStr An approximation formula for Euler-Mascheroni's constant
title_full_unstemmed An approximation formula for Euler-Mascheroni's constant
title_sort An approximation formula for Euler-Mascheroni's constant
dc.creator.none.fl_str_mv Panzone, Pablo Andres
author Panzone, Pablo Andres
author_facet Panzone, Pablo Andres
author_role author
dc.subject.none.fl_str_mv EULER-MASCHERONI,S CONSTANT
APPROXIMATION
CRITERIA OF IRRATIONALITY
topic EULER-MASCHERONI,S CONSTANT
APPROXIMATION
CRITERIA OF IRRATIONALITY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A fast approximation formula for Euler–Mascheroni’s constant based on a certain integral due to Peter Borwein is given. This asymptotic formula for γ involves harmonic numbers, ln 2 and rational numbers whose denominators are powers of 2.
Fil: Panzone, Pablo Andres. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
description A fast approximation formula for Euler–Mascheroni’s constant based on a certain integral due to Peter Borwein is given. This asymptotic formula for γ involves harmonic numbers, ln 2 and rational numbers whose denominators are powers of 2.
publishDate 2016
dc.date.none.fl_str_mv 2016-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/111809
Panzone, Pablo Andres; An approximation formula for Euler-Mascheroni's constant; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 57; 1; 1-2016; 9-22
0041-6932
1669-9637
CONICET Digital
CONICET
url http://hdl.handle.net/11336/111809
identifier_str_mv Panzone, Pablo Andres; An approximation formula for Euler-Mascheroni's constant; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 57; 1; 1-2016; 9-22
0041-6932
1669-9637
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/revuma.php?p=toc/vol57
info:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/pdf/v57n1/v57n1a02.pdf
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Unión Matemática Argentina
publisher.none.fl_str_mv Unión Matemática Argentina
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.976206

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