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

Detalles Bibliográficos
Autor: Panzone, Pablo Andres
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/60844
Acceso en línea:http://hdl.handle.net/11336/60844
Access Level:acceso abierto
Palabra clave:EULER CONSTANT
APPROXIMATION
LINEAR FORM
IRRATIONALITY
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario: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