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4. Polynomials and Painlevé

    1. Problem 4.1.

      Is there a relation between the polynomial roots appearing in the Painlevé equation and representation theory, for example via Young diagrams?
        • Problem 4.2.

          What is the precise shape of the boundary of the region containing the roots for Painlevé V? What about for the location of the zeros?
            • Problem 4.3.

              Consider the polynomials related to rational solutions of Painlevé equations. Are they exceptional orthogonal polynomials?

                  Cite this as: AimPL: Painleve equations and their applications, available at http://aimpl.org/painleveapp.