Maclaurin series by integration
type: Item
instance of: scholarly article
title: Maclaurin series by integration
zbMATH Open document ID: 1481.41017
DOI: 10.4171/EM/426
author: Mehdi Hassani
author: Mahtab Ketabi
published in: Elemente der Mathematik
publication date: 2021-06-28T00:00:00Z
review text: Summary: In this note we obtain Maclaurin series of the functions arctan \(x\), \(\ln(1+x)\) and \(\arctan x + \ln \sqrt{1+x^2}\) for \(x \in [0, 1]\) by using integration by parts, and we give explicit integral representations for the error terms in their truncated Maclaurin series.
Mathematics Subject Classification ID: 41A58
Mathematics Subject Classification ID: 41A80
zbMATH DE Number: 7364019
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/em/426
OpenAlex ID: W3124739333
description: scientific article; zbMATH DE number 7364019