Discrete Painlevé Equations: A Review

By B. Grammaticos, A. Ramani. 2004

82 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/fafc43f282e76f7995bcd7951b9caef6fa25c177

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Walter Van Assche
2. Y. Yamada
3. Kenji Kajiwara
4. M. Noumi
5. Arno B. J. Kuijlaars
6. Pavel Etingof
7. Alexei Oblomkov
8. Tom H. Koornwinder

In Geometry and Topology

1. Walter Van Assche
2. Y. Yamada
3. Kenji Kajiwara
4. M. Noumi

In Statistical and Nonlinear Physics

1. Walter Van Assche
2. Y. Yamada
3. Kenji Kajiwara
4. M. Noumi

Citations in the corpus

• DISCRETE PAINLEVÉ EQUATIONS FOR RECURRENCE COEFFICIENTS OF SEMICLASSICAL LAGUERRE POLYNOMIALS (2010, background): “Painlevé equations are on the borderline between linearisability and nonintegrability [8].”
• Geometric aspects of Painlevé equations (2015, methodology): “For a review of those developments, we refer to [26, 120].”