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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Assche, Walter van, 1958- Orthogonal polynomials and Painlevé equations. Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018 (DLC) 2017053332 (OCoLC)1004922287 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Walter Van Assche |

ISBN: | 9781108644860 1108644864 |

OCLC Number: | 1019662820 |

Description: | 1 online resource (xii, 179 pages). |

Contents: | Introduction -- Freud weights and discrete Painlevé I -- Discrete Painlevé II -- Ladder operators -- Other semi-classical orthogonal polynomials -- Special solutions of Painlevé equations -- Asymptotic behavior of orthogonal polynomials near critical points. |

Series Title: | Australian Mathematical Society lecture series, 27. |

Responsibility: | Walter van Assche, Katholieke Universiteit Leuven, Belgium. |

### Abstract:

The first detailed account of the relationships between Painleve equations and orthogonal polynomials. It gives clear examples as well as proofs, and there are exercises throughout to help the reader get comfortable with the material. Useful for researchers across both fields and anyone interested in integrable systems and non-linear equations.
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