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Orthogonal polynomials and Painleve ...

Assche, Walter van.

Orthogonal polynomials and Painleve equations[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	515.55
書名/作者:	Orthogonal polynomials and Painleve equations/ Walter van Assche.
作者:	Assche, Walter van.
出版者:	Cambridge : : Cambridge University Press,, 2018.
面頁冊數:	xii, 179 p. : : digital ;; 24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Jan 2018).
標題:	Orthogonal polynomials.
標題:	Polynomials.
標題:	Painleve equations.
標題:	Differential equations, Nonlinear.
ISBN:	9781108644860
ISBN:	9781108441940
摘要、提要註:	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.
電子資源:	https://doi.org/10.1017/9781108644860

Orthogonal polynomials and Painleve equations[electronic resource] /
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 ;17..

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:

556902
Orthogonal polynomials.

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

Dewey Class. No.: 515.55

Orthogonal polynomials and Painleve equations[electronic resource] /
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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 556902
650 0 $a Polynomials. $3 210526
650 0 $a Painleve equations. $3 660466
650 0 $a Differential equations, Nonlinear. $3 405187
830 0 $a Australian Mathematical Society lecture series ; $v 17. $3 642480
856 4 0 $u https://doi.org/10.1017/9781108644860

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