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Orthogonal polynomials and Painleve ...

Assche, Walter van.

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Orthogonal polynomials and Painleve equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Orthogonal polynomials and Painleve equations/ Walter van Assche.
Author:	Assche, Walter van.
Published:	Cambridge :Cambridge University Press, : 2018.,
Description:	xii, 179 p. :digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Jan 2018).
Subject:	Orthogonal polynomials. -
Online resource:	https://doi.org/10.1017/9781108644860
ISBN:	9781108644860

Orthogonal polynomials and Painleve equations
Assche, Walter van.

Orthogonal polynomials and Painleve equations[electronic resource] /Walter van Assche. - Cambridge :Cambridge University Press,2018. - xii, 179 p. :digital ;24 cm. - Australian Mathematical Society lecture series ;27. - Australian Mathematical Society lecture series ;27..

Title from publisher's bibliographic system (viewed on 05 Jan 2018).

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.

ISBN: 9781108644860Subjects--Topical Terms:

558372
Orthogonal polynomials.

LC Class. No.: QA404.5 / .A87 2018

Dewey Class. No.: 515.55

Orthogonal polynomials and Painleve equations
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050 4 $a QA404.5 $b .A87 2018
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100 1 $a Assche, Walter van. $3 3440294
245 1 0 $a Orthogonal polynomials and Painleve equations $h [electronic resource] / $c Walter van Assche.
260 $a Cambridge : $b Cambridge University Press, $c 2018.
300 $a xii, 179 p. : $b digital ; $c 24 cm.
490 1 $a Australian Mathematical Society lecture series ; $v 27
500 $a Title from publisher's bibliographic system (viewed on 05 Jan 2018).
520 $a 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.
650 0 $a Orthogonal polynomials. $3 558372
650 0 $a Polynomials. $3 604754
650 0 $a Painleve equations. $3 722564
650 0 $a Differential equations, Nonlinear. $3 604084
830 0 $a Australian Mathematical Society lecture series ; $v 27. $3 3440295
856 4 0 $u https://doi.org/10.1017/9781108644860