2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80756In this paper we consider a Hankel determinant formula for generic solutions of the Painleve' II equation. We show that the generating functions for the entries of the Hankel determinants are related to the asymptotic solution at infinity of the linear problem of which the Painleve' II equation describes the isomonodromic deformations.9 pages, dedicated to Jean Pierre Ramis. A comment on summability is addedExactly Solvable and Integrable SystemsMathematical Physicstext