There are a number of intriguing connections between Painlevé equations and orthogonal polynomials, and this book is one of the first to provide an introduction to these. Researchers in integrable systems and non-linear equations will find the many explicit examples where Painlevé equations appear i...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Van Assche, Walter 1958- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge Cambridge University Press 2018
Schriftenreihe:	Australian Mathematical Society lecture series 27
Schlagworte:	Differential equations, Nonlinear Painlevé equations Orthogonal polynomials Polynomials
Online-Zugang:	BSB01 FHN01 URL des Erstveröffentlichers
Zusammenfassung:	There are a number of intriguing connections between Painlevé equations and orthogonal polynomials, and this book is one of the first to provide an introduction to these. Researchers in integrable systems and non-linear equations will find the many explicit examples where Painlevé equations appear in mathematical analysis very useful. Those interested in the asymptotic behavior of orthogonal polynomials will also find the description of Painlevé transcendants and their use for local analysis near certain critical points helpful to their work. Rational solutions and special function solutions of Painlevé equations are worked out in detail, with a survey of recent results and an outline of their close relationship with orthogonal polynomials. Exercises throughout the book help the reader to get to grips with the material. The author is a leading authority on orthogonal polynomials, giving this work a unique perspective on Painlevé equations
Beschreibung:	Title from publisher's bibliographic system (viewed on 05 Jan 2018)
Beschreibung:	1 Online-Ressource (xii, 179 Seiten)
ISBN:	9781108644860
DOI:	10.1017/9781108644860