Orthogonal polynomials and Painlevé equations:
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...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
|
| Schriftenreihe: | Australian Mathematical Society lecture series
27 |
| Links: | https://doi.org/10.1017/9781108644860 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xii, 179 Seiten) |
| ISBN: | 9781108644860 |
Internformat
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| 100 | 1 | |a Assche, Walter van |d 1958- | |
| 245 | 1 | 0 | |a Orthogonal polynomials and Painlevé equations |c Walter van Assche, Katholieke Universiteit Leuven, Belgium |
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| 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. | ||
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| spelling | Assche, Walter van 1958- Orthogonal polynomials and Painlevé equations Walter van Assche, Katholieke Universiteit Leuven, Belgium Cambridge Cambridge University Press 2018 1 Online-Ressource (xii, 179 Seiten) txt c cr Australian Mathematical Society lecture series 27 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. Erscheint auch als Druck-Ausgabe 9781108441940 |
| spellingShingle | Assche, Walter van 1958- Orthogonal polynomials and Painlevé equations |
| title | Orthogonal polynomials and Painlevé equations |
| title_auth | Orthogonal polynomials and Painlevé equations |
| title_exact_search | Orthogonal polynomials and Painlevé equations |
| title_full | Orthogonal polynomials and Painlevé equations Walter van Assche, Katholieke Universiteit Leuven, Belgium |
| title_fullStr | Orthogonal polynomials and Painlevé equations Walter van Assche, Katholieke Universiteit Leuven, Belgium |
| title_full_unstemmed | Orthogonal polynomials and Painlevé equations Walter van Assche, Katholieke Universiteit Leuven, Belgium |
| title_short | Orthogonal polynomials and Painlevé equations |
| title_sort | orthogonal polynomials and painleve equations |
| work_keys_str_mv | AT asschewaltervan orthogonalpolynomialsandpainleveequations |