  We consider the $d$-dimensional Anderson model, and we prove the density of
states is locally analytic if the single site potential distribution is locally
analytic and the disorder is large. We employ the random walk expansion of
resolvents and a simple complex function theory trick. In particular, we
discuss the uniform distribution case, and we obtain a sharper result using
more precise computations. The method can be also applied to prove the
analyticity of the correlation functions.
