Description: Orthogonal Polynomials and Painlevé Equations (Australian Mathematical Society Lecture Series)Walter Van Assche Cambridge University Press Paperback Unused and unread, cosmetic imperfections such as scuffs, creases or knocks. Stamped 'damaged' by publisher to a non-text page. EAN: 9781108441940 Published 28/12/2017 Language: English There are a number of intriguing connections between Painlevàequations 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 Painlevàequations appear in mathematical analysis very useful. Those interested in the asymptotic behavior of orthogonal polynomials will also find the description of Painlevàtranscendants and their use for local analysis near certain critical points helpful to their work. Rational solutions and special function solutions of Painlevàequations 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 Painlevàequations. 1. Introduction 2. Freud weights and discrete PainlevàI 3. Discrete PainlevàII 4. Ladder operators 5. Other semi-classical orthogonal polynomials 6. Special solutions of Painlevàequations 7. Asymptotic behavior of orthogonal polynomials near critical points Appendix. Solutions to exercises References Index. DispatchIn stock here - same-day dispatch from England. My SKU: 3260046RefundsNo-hassle refunds are always available if your book is not as expected.Terms and Conditions of SaleSorry - no collections. All sales are subject to extended Terms and Conditions of Sale as well as the Return Policy and Payment Instructions. Visit my eBay Store for details andmany more books. Template layout and design, "JNC Academic Books", "needbooks", Copyright © JNC INC. Designated trademarks, layouts and brands are the property of their respective owners. All Rights Reserved.
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Title: Orthogonal Polynomials and Painlev� Equations (Australian Mathema
ISBN: 1108441947
Pages: 192
Item Height: 228mm
Item Width: 152mm
Author: Walter Van Assche
Publication Name: Orthogonal Polynomials and Painleve Equations
Format: Paperback
Language: English
Publisher: Cambridge University Press
Subject: Mathematics
Publication Year: 2017
Type: Textbook
Item Weight: 290g
Number of Pages: 190 Pages
