Introduction to the Painlev\'e property, test and analysis

This short survey presents the essential features of what is called Painlev'e analysis, i.e. the set of methods based on the singularities of differential equations in order to perform their explicit integration. Full details can be found in $\mathit{\text{The}}\mathit{\text{Painlev}}\acute{\mathit{\text{e}}}\mathit{\text{handbook}}$ or in various lecture notes posted on arXiv.