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We derive several identities for the Hurwitz and Riemann zeta functions, theGamma function, and Dirichlet $L$-functions. They involve a sequence ofpolynomials $\alpha_k(s)$ whose study was initiated in an earlier paper. Theexpansions given here are practical and can be used for the high precisionevaluation of these functions, and for deriving formulas for special values. Wealso present a summation formula and use it to generalize a formula of Hasse.

Identities for the Hurwitz zeta function, Gamma function, and L-functions