Orthogonal Polynomials and Painleve Equations

Informationen zum Autor Walter Van Assche is a professor of mathematics at the Katholieke Universiteit Leuven, Belgium, and presently the Chair of the SIAM Activity Group on Orthogonal Polynomials and Special Functions (OPSF). He is an expert in orthogonal polynomials, special functions, asymptotics, approximation, and recurrence relations. Klappentext A leading authority on orthogonal polynomials details their relationships with Painlevé equations with clear proofs, examples, and exercises. Zusammenfassung The first detailed account of the relationships between Painlevé 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. Inhaltsverzeichnis 1. Introduction; 2. Freud weights and discrete Painlevé I; 3. Discrete Painlevé II; 4. Ladder operators; 5. Other semi-classical orthogonal polynomials; 6. Special solutions of Painlevé equations; 7. Asymptotic behavior of orthogonal polynomials near critical points; Appendix. Solutions to exercises; References; Index.

Product details

• Authors: Walter (Katholieke Universiteit Leuven van Assche, Walter van Assche, Walter (Katholieke Universiteit Leuven Van Assche
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.12.2017
• EAN: 9781108441940
• ISBN: 978-1-108-44194-0
• No. of pages: 190
• Series: Australian Mathematical Society Lecture Series; Australian Mathematical Societ; Australian Mathematical Society Lecture Series
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Basic principles