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Algebraic integrability: a survey

✍ Scribed by Vanhaecke, P.


Book ID
126936801
Publisher
The Royal Society
Year
2007
Tongue
English
Weight
350 KB
Volume
366
Category
Article
ISSN
0264-3952

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πŸ“œ SIMILAR VOLUMES


Macdonald Polynomials and Algebraic Inte
✍ Oleg A. Chalykh πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 380 KB

We construct explicitly (nonpolynomial) eigenfunctions of the difference operators by Macdonald in the case t=q k , k Β₯ Z. This leads to a new, more elementary proof of several Macdonald conjectures, proved first by Cherednik. We also establish the algebraic integrability of Macdonald operators at t

About algebraic integrability and non-in
✍ Andrzej J. Maciejewski πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 596 KB

Abstrael--In this paper I describe some effective methods that can be applied to the study of the problem of existence of a polynomial or rational first integral of an arbitrary system of ordinary differential equations with polynomial right hand sides. I present an extension of the method of compat