  In this article we extend work of Herr from the case of cyclotomic
$(\varphi,\Gamma)$-modules to the general case of Lubin-Tate
$(\varphi,\Gamma)$-modules. In particular, we define generalized $\varphi$- and
$\psi$-Herr complexes, which calculate Galois cohomology, when applied to the
etale $(\varphi,\Gamma)$-modules attached to the coefficients.
