Legendre modified moments for Euler's constant
type: Item
instance of: scholarly article
title: Legendre modified moments for Euler's constant
zbMATH Open document ID: 1148.41015
published in: Journal of Computational and Applied Mathematics
publication date: 2008-08-08T00:00:00Z
review text: The authors use modified Legendre moments, so as to accelerate the convergence of the sequence \(H_{n }-\log (n+1)\) to Euler's constant \(\gamma\). An error estimation is also given. It is proved that it is totally monotonic sequence. In the end, an application to the arithmetic property of \(\gamma\) is also given.
Mathematics Subject Classification ID: 41A21
Mathematics Subject Classification ID: 65B10
zbMATH DE Number: 5309311
zbMATH Keywords: Legendre moments
zbMATH Keywords: Euler's constant
zbMATH Keywords: Pade approximation
author: M. Prevost
MaRDI profile type: Publication
full work available at URL: j.cam.2007.09.015
OpenAlex ID: W2024235684
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DOI: 10.1016/J.CAM.2007.09.015
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description: scientific article; zbMATH DE number 5309311