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