Walter Van Assche (Belgium Katholieke Universiteit Leuven)

Orthogonal Polynomials and Painlevé Equations

• Broschiertes Buch

Produktbeschreibung

The first detailed account of the relationships between Painlevà 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.

Produktdetails

• Australian Mathematical Society Lecture Series
• Verlag: Cambridge University Press
• Seitenzahl: 192
• Erscheinungstermin: 19. März 2019
• Englisch
• Abmessung: 229mm x 152mm x 11mm
• Gewicht: 290g
• ISBN-13: 9781108441940
• ISBN-10: 1108441947
• Artikelnr.: 49312665

Autorenporträt

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.

Inhaltsangabe

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.