2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/113936We establish the asymptotic zero distribution for polynomials generated by a four-term recurrence relation with varying recurrence coefficients having a particular limiting behavior. The proof is based on ratio asymptotics for these polynomials. We can apply this result to three examples of multiple orthogonal polynomials, in particular Jacobi-Pineiro, Laguerre I and the example associated with Macdonald functions. We also discuss an application to Toeplitz matrices.18 pages, 2 figuresClassical Analysis and ODEsSpectral Theory33C45; 42C05; 15A18Asymptotic zero distribution for a class of multiple orthogonal polynomialstext