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The present study is devoted to some new formulas for a family of Appell polynomials. These formulas are expressed in terms of Bernoulli-Euler and Bernoulli-Genocchi polynomials. Moreover, other additive formulas and new combinatorial identities are established. In particular some closed relations with nested sums are exhibited.doi:10.2298/fil1812155b fatcat:3cx5mykjgje57hznl6rndbuguq