Open Problems for Painlev\'e Equations

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.