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portada Orthogonal Polynomials and Painlevé Equations (Australian Mathematical Society Lecture Series)
Type
Physical Book
Author
Publisher
Year
2017
Language
English
Pages
190
Format
Paperback
Dimensions
23.4 x 16.4 x 1.2 cm
Weight
0.27 kg.
ISBN13
9781108441940
Edition No.
1
Categories

Orthogonal Polynomials and Painlevé Equations (Australian Mathematical Society Lecture Series)

Walter Van Assche (Author) · Cambridge University Press · Paperback

Orthogonal Polynomials and Painlevé Equations (Australian Mathematical Society Lecture Series) - Van Assche, Walter

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Synopsis "Orthogonal Polynomials and Painlevé Equations (Australian Mathematical Society Lecture Series) "

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.

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