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Complete classification of rational solutions of -Painlevé systems
David Gómez-Ullate, Yves Grandati, Robert Milson
We provide a complete classification and an explicit representation of rational solutions to the fourth Painlevé equation PIV and its higher order generalizations known as the $A_{…
Lectures on exceptional orthogonal polynomials and rational solutions to Painlevé equations
David Gómez-Ullate, Robert Milson
These are the lecture notes for a course on exceptional polynomials taught at the \textit{AIMS-Volkswagen Stiftung Workshop on Introduction to Orthogonal Polynomials and Applicatio…
Cyclic Maya diagrams and rational solutions of higher order Painlevé systems
Peter A. Clarkson, David Gómez-Ullate, Yves Grandati +1
This paper focuses on the construction of rational solutions for the Painlevé system, also called the Noumi-Yamada system, which are considered the higher order generaliza…