Nouvelles expressions des formules de Hasse et de Hermite pour la fonction Zêta d'Hurwitz

This article presents an interesting relation between the Hurwitz zeta function ζ(s,x) and a modification of the Bell polynomials through the rewriting of two classical identities discovered by Hasse and Hermite, respectively. Some applications of these new expressions to Euler's sums are also underscored.