Orthogonal Polynomials and Painlevé Equations

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Mathematical Analysis
Cover of the book Orthogonal Polynomials and Painlevé Equations by Walter Van Assche, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Walter Van Assche ISBN: 9781108608978
Publisher: Cambridge University Press Publication: December 28, 2017
Imprint: Cambridge University Press Language: English
Author: Walter Van Assche
ISBN: 9781108608978
Publisher: Cambridge University Press
Publication: December 28, 2017
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Extraterrestrial Seismology by Walter Van Assche
Cover of the book Transforming Gender Citizenship by Walter Van Assche
Cover of the book Nuclear Threats, Nuclear Fear and the Cold War of the 1980s by Walter Van Assche
Cover of the book Turing's Legacy by Walter Van Assche
Cover of the book Creativity and Reason in Cognitive Development by Walter Van Assche
Cover of the book The Middle Ages in 50 Objects by Walter Van Assche
Cover of the book Italy's Margins by Walter Van Assche
Cover of the book The Cambridge Companion to Primo Levi by Walter Van Assche
Cover of the book The Cambridge Companion to Plotinus by Walter Van Assche
Cover of the book The Cambridge Companion to Victorian Women's Writing by Walter Van Assche
Cover of the book Essentials of Micro- and Nanofluidics by Walter Van Assche
Cover of the book Introduction to Biomedical Instrumentation by Walter Van Assche
Cover of the book Advanced Concepts in Particle and Field Theory by Walter Van Assche
Cover of the book Kernel Methods for Pattern Analysis by Walter Van Assche
Cover of the book Introduction to the Senses by Walter Van Assche
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy