2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216887We show that the local magnetization in the massive boundary Ising model on the half-plane with boundary magnetic field satisfies second order linear differential equation whose coefficients are expressed through Painleve function of the III kind.11 pagesMathematical PhysicsStatistical MechanicsHigh Energy Physics - TheoryExactly Solvable and Integrable SystemsDifferential equation for local magnetization in the boundary Ising modeltext