Orthogonal Polynomials and Painleve Equations by Walter Van Assche (Paperback, 2017)

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There are a number of intriguing connections between Painleve 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 Painleve equations appear in mathematical analysis very useful.

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There are a number of intriguing connections between Painleve 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 Painleve equations appear in mathematical analysis very useful. Those interested in the asymptotic behavior of orthogonal polynomials will also find the description of Painleve transcendants and their use for local analysis near certain critical points helpful to their work. Rational solutions and special function solutions of Painleve 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 Painleve equations.

Product Identifiers

PublisherCambridge University Press
ISBN-139781108441940
eBay Product ID (ePID)11046348069

Product Key Features

Number of Pages190 Pages
LanguageEnglish
Publication NameOrthogonal Polynomials and Painleve Equations
Publication Year2017
SubjectMathematics
TypeTextbook
AuthorWalter Van Assche
FormatPaperback

Dimensions

Item Height228 mm
Item Weight290 g
Item Width152 mm

Additional Product Features

Country/Region of ManufactureUnited Kingdom
Title_AuthorWalter Van Assche
Series TitleAustralian Mathematical Society Lecture Series

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