Application of uniform asymptotics to the fifth Painlevé transcendent
type: Item
instance of: scholarly article
title: Application of uniform asymptotics to the fifth Painlevé transcendent
zbMATH Open document ID: 1010.34082
DOI: 10.1155/S0161171202108222
author: Zhoude Shao
author: Youmin Lu
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/49944
full work available at URL: S0161171202108222.html
review text: The authors study the general fifth Painlevé equation and apply the uniform asymptotic method to the fifth Painlevé transcendents. Further, they find its asymptotics of the form \(y=-1+t^{-1/2} A(t)\) as \(t\to \infty\) along the positive \(t\)-axis and obtain the corresponding monodromy data.
Mathematics Subject Classification ID: 34M35
Mathematics Subject Classification ID: 34E05
zbMATH DE Number: 1780400
zbMATH Keywords: uniform asymptotics
zbMATH Keywords: Painlevé transcendent
reviewed by: S. D. Bajpai
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1780400