2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71957In this paper we obtain several new identities for Bernoulli and Euler polynomials; some of them extend Miki's and Matiyasevich's identities. Our new method involves differences and derivatives of polynomials.13 pages, more readable versionNumber TheoryCombinatorics11B68; 05A19New identities involving Bernoulli and Euler polynomialstext