The generalized Chazy equation and Schwarzian triangle functions
type: Item
instance of: scholarly article
title: The generalized Chazy equation and Schwarzian triangle functions
zbMATH Open document ID: 0969.34005
author: R. Smith
published in: The Asian Journal of Mathematics
publication date: 2000-11-15T00:00:00Z
review text: While considering an integrable third-order system of Darboux-Halphen type that depends on three arbitrary parameters \(\alpha\), \(\beta\) and \(\gamma\), the authors give the general solution to the system in terms of Schwarzian triangle functions associated with circular triangles with angles \(\alpha\pi\), \(\beta\pi\) and \(\gamma\pi\). The authors show that for special choices of the parameters the Darboux-Halphen system reduces to the generalized Chazy equation.
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 1531019
zbMATH Keywords: Chazy equation
zbMATH Keywords: Darboux-Halphen system
zbMATH Keywords: Schwarzian triangle functions
reviewed by: S. K. Chatterjea
MaRDI profile type: Publication
DOI: 10.4310/AJM.1998.V2.N4.A1
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description: scientific article; zbMATH DE number 1531019