A part of a letter to M. Liouville.
type: Item
instance of: scholarly article
title: A part of a letter to M. Liouville.
zbMATH Open document ID: 06.0191.01
published in: Journal de Mathématiques Pures et Appliquées. 2. Série
publication date: 1874-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/235702
review text: Ohne Beweis mitgetheilt wird die Transformation \[ \int_0^\pi\frac{\partial x[f(e^{ix})+ f(e^{-ix})]} {\sqrt{1- 2\alpha\cos x+\alpha^2}}=2 \int_0^\pi\frac{f(a\sin^2x)\partial x} {\sqrt{1-a^2\sin^2x}}, \] wo \(a\) der absolute Werth von \(\alpha\) und \(<1\), \(f\) eine durch die Maclaurin'sche Reihe darstellbare Function ist.
Mathematics Subject Classification ID: 26A42
zbMATH DE Number: 2716693
zbMATH Keywords: Explicit integration
MaRDI profile type: Publication
author: Joseph Liouville
description: scientific article; zbMATH DE number 2716693