Open Problems for Painlev\'e Equations

Abstract

In this paper some open problems for Painlev\'e equations are discussed. In particular the following open problems are described: (i) the Painlev\'e equivalence problem; (ii) notation for solutions of the Painlev\'e equations; (iii) numerical solution of Painlev\'e equations; and (iv) the classification of properties of Painlev\'e equations.

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