  We review our analysis of $\pi K$ scattering using forward dispersion
relations. The method yields a set of simple parameterizations that are
compatible with forward dispersion relations up to 1.6 GeV while still
describing the data. Once the partial waves are obtained, we calculate the
poles in the complex plane by means of Pad\'e approximants, thus avoiding a
particular model for the pole parameterization. The resonances calculated below
1.8 GeV are the much debated scalar $\kappa$-meson, nowadays known as
$K_0^*(800)$, the scalar $K_0^*(1430)$, the $K^*(892)$ and $K_1^*(1410)$
vectors, the spin-two $K_2^*(1430)$ as well as the spin-three $K^*_3(1780)$.
