A note on the error bound for the remainder of an asymptotic expansion of the double gamma function
type: Item
instance of: scholarly article
title: A note on the error bound for the remainder of an asymptotic expansion of the double gamma function
zbMATH Open document ID: 1061.41023
author: Chelo Ferreira
published in: Journal of Approximation Theory
publication date: 2004-08-10T00:00:00Z
review text: In a recent paper [\textit{C. Ferreira} and \textit{J. L. López}, J. Approximation Theory 111, 298--314 (2001; Zbl 0983.41020)], the author and collaborators have obtained an asymptotic expansion of the double gamma function with error bounds. In this short note, using a recent result of \textit{H. L. Pedersen} [On the remainder in an asymptotic expansion of the double gamma function, manuscript], the author obtains a simpler and more accurate error bound than that obtained in [Ferreira and López, loc. cit.].
Mathematics Subject Classification ID: 41A60
Mathematics Subject Classification ID: 33E30
zbMATH DE Number: 2085988
zbMATH Keywords: double gamma function
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: error bound
reviewed by: José L. López
MaRDI profile type: Publication
full work available at URL: j.jat.2004.02.002
OpenAlex ID: W2069683252
cites work: On the remainder in an asymptotic expansion of the double gamma function
DOI: 10.1016/J.JAT.2004.02.002
description: scientific article; zbMATH DE number 2085988