An approximation formula for Euler-Mascheroni's constant

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.

Detalhes bibliográficos
Autor: Panzone, Pablo Andres
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/111809
Acesso em linha:http://hdl.handle.net/11336/111809
Access Level:acceso abierto
Palavra-chave:EULER-MASCHERONI,S CONSTANT
APPROXIMATION
CRITERIA OF IRRATIONALITY
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descrição
Resumo: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.