2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156562In this paper we derive two expressions for the Hurwitz zeta function involving the complete Bell polynomials in the restricted case where q is a positive integer greater than 1. The arguments of the complete Bell polynomials comprise the generalised harmonic number functions. These in turn give rise to Euler-Hurwitz series which may then be used to determine identities for combinations of both linear and non-linear Euler sums.Classical Analysis and ODEsNumber Theory11M35Euler-Hurwitz series and non-linear Euler sumstext