2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/214784We establish the framework for the comparison of $πK$ scattering amplitudes from SU(3) chiral perturbation theory with suitable dispersive representations which result from the combination of certain fixed-t dispersion relations with dispersion relations on hyperbolic curves. This allows for predictions for some combinations of low energy constants appearing in higher order calculations of chiral perturbation theory. Using a simple parametrization for the lowest partial waves, first estimates for some combinations are presented.20 pages, LaTeX2e; replaced with version to appear in European Physical Journal C; typographical errors removed, minor stylistic changesHigh Energy Physics - Phenomenologytext