2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138139In this paper, we obtain a generalization of an identity due to Carlitz on Bernoulli polynomials. Then we use this generalized formula to derive two symmetric identities which reduce to some known identities on Bernoulli polynomials and Bernoulli numbers, including the Miki identity.Number TheoryCombinatorics11B68; 05A19; 05A15text