2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121051The higher order analogue of the classical Carathéodory-Julia theorem on boundary angular derivatives has been obtained in \cite{bk3}. Here we study boundary interpolation problems for Schur class functions (analytic and bounded by one in the open unit disk) motivated by that result.Classical Analysis and ODEs47A57The higher order Carathéodory--Julia theorem and related boundary interpolation problemstext