| 000 | 02327nam a22003738i 4500 | ||
|---|---|---|---|
| 001 | CR9781108644860 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160337.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 170801s2018||||enk o ||1 0|eng|d | ||
| 020 | _a9781108644860 (ebook) | ||
| 020 | _z9781108441940 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA404.5 _b.A87 2018 |
| 082 | 0 | 0 |
_a515/.55 _223 |
| 100 | 1 |
_aAssche, Walter van, _d1958- _eauthor. |
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| 245 | 1 | 0 |
_aOrthogonal polynomials and Painlevé equations / _cWalter van Assche, Katholieke Universiteit Leuven, Belgium. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2018. |
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| 300 |
_a1 online resource (xii, 179 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aAustralian Mathematical Society lecture series ; _v27 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Jan 2018). | ||
| 520 | _aThere 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 | _aOrthogonal polynomials. | |
| 650 | 0 | _aPolynomials. | |
| 650 | 0 | _aPainlevé equations. | |
| 650 | 0 | _aDifferential equations, Nonlinear. | |
| 776 | 0 | 8 |
_iPrint version: _z9781108441940 |
| 830 | 0 |
_aAustralian Mathematical Society lecture series ; _v27. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/9781108644860 |
| 999 |
_c523149 _d523147 |
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